The sides are proportional. Type below: ratio of x-coordinates = 4/2 = 2 (2, -1) Divide a side length of the dilated figure by the corresponding side length of the original figure. area = l.w = 8 .8 = 64, Question 6. Question 1. I (3, 6) Describe how the graph of y = x shown at the right is changed through each of the following transformations. A(0, 8), B(0, 0), C(10, 0) 3. Perimeter = 8 units How can you use dilations to solve real-world problems? Write the coordinates of the vertices of the preimage in the first column of the table. Question 9. Question 7. Answer: For example, if the scale factor is k, the algebraic representation of the dilation is Length of MN, given M(4.5, 6), N(9, 6). (x, y) (y, -x) perimeter of the image = 8 + 8 + 8 + 8 = 32, Question 20. (-3, -4) Painted replica is 20 feet long and 16 feet high The actual building measures 400 feet long and 320 feet high. Type below: Identify the sequence of transformations that will reflect a figure over the x-axis and then dilate it by a scale factor of 3. (-2, 1) Test whether your answers are right or wrong with the help of the review test solutions. 0 = -2x + 6 c. (12, 8), (4, 8), (12, 4), (4, 4) a. A rectangle has vertices (6, 4), (2, 4), (6, 2), and (2, 2). Describe what happens to a figure when the given sequence of transformations is applied to it: (x, y) (-x, y); (x, y) (0.5x, 0.5y); (x, y) (x 2, y + 2) 11,201. LESSON 10-2 . relay for life dates 2022. Image perimeter: _________, Answer: B. Lesson 13.2 Algebraic Representations of Dilations Lesson 13.3 Dilations and Measurement Texas Go Math Grade 8 Module 13 Quiz Answer Key Texas Go Math Grade 8 Unit 5 Study Guide Review Answer Key Texas Go Math Grade 8 Teacher Edition Answer Key Unit 6 Statistics and Samples Module 14 Scatter Plots Question 3. On a coordinate plane, triangle UVW has coordinates U(20, 12), V(8, 6), and W(24, -4). Displaying all worksheets related to - Algebraic Representation Of Dialation. (x, y) -> (x +5, y-6), Question 3. Original perimeter: _________ y = -1/3 . a. _____________, Answer: _____________, Answer: (x, y) -> (-x, y); (x, y) -> (3x, 3y) I Can identify and perform dilations given a scale factor and center of dilation, perform a dilation on a coordinate plane, and identify an algebraic rule for the dilation. _____________. Type below: The scale factor of the dilation is 2. (x, y) -> (2x, 2y), Question 9. Learning is not only important but understanding the concepts is also important for the students to enhance their skills. perimeter of the original square = 6 + 6 + 6 + 6 = 24 c. Write the algebraic representation of the dilation from the blueprint to the house. Let x and y be the coordinates of the original image When a dilation n the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor k, that is (-2, 2) Scale factor: _________ 20.3 Similar Figures. x = 3 The backdrop scale factor is 1/20, not 1/12, Question 12. Each coordinate of Triangle UVW is 3/4 times the corresponding coordinate of Triangle UVW. The homeowner wants this room to be 25% larger. c. Make a conjecture about the relationship of the scale factor to the perimeter of a square and its image. The drawing has sides measuring 6 cm, 8 cm, and 10 cm, and angles measuring 37, 53, and 90. Triangle RST has angles measuring 67 and 38. Perimeter = 8 units Answer: coordinates for D Type below: Reflection over x-axis (x, y) -> (x, -y) b. Answer: lesson 10 2 algebraic representations of dilations Coordinates after dilation How many feet? The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. x + 1 scale factor = 1/2, Question 19. Options: 10cm 40 = 400cm Question 7. Depending on the scale factor, dilation may increase or decrease the starting object. rotate 90counterclockwise, Question 4. _____________, Answer: Displaying all worksheets related to - Lesson Algebraic Representation Of Dilations 102. _____________, Answer: (1, -1). a. (-2, -2), Question 12. a. Describe the image of a dilation with a scale factor of 1. Algebraic Representations of Dilations You dilate a figure using the origin as the center of dilation. Type below: Critical Thinking A dilation with center (0, 0) and scale factor k is applied to a polygon. What are the vertices of the dilated image? G(5, 2) G'(5 1.5, 2 1.5) G'(7.5, 3) (2) House dimensions: 25ft by 15ft, Question 10. Original perimeter: 24 You are here: Home 1 / Clearway in the Community 2 / Uncategorised 3 / lesson 10 2 algebraic representations of dilations. algebraic rule of the dilation: (x, y) -> (1/4x, 1/4y), Question 11. A dilation of the square has vertices at (6, 6), (6, 6), (6, 6), and (6, 6). So, to learn maths in the best way, you must refer to Go Math Grade 8 Answer Key. -a + 7 = 2a 8 (-6, 1), Question 13. (-5, 0) Students can overcome their difficulties with the help of the Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key. Reflection over x-axis (x, y) -> (x, -y) Area = 64 square units, Explanation: Type below: B'((3. (Example 1). _____________, Explanation: Find the scale factor and the perimeter of each square. Type of function: Justification: 9. = 3 2 + 3. Coordinates after dilation The ratios of the lengths of the corresponding sides are not equal. Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. The drawing has sides measuring 6 cm, 8 cm, and 10 cm, and angles measuring 37, 53, and 90. (0, -6) _____________, Question 12. _____________, Explanation: MN/MN = 3/4.5 = 2/3 e. (x, y) (0.5x, 1.5y) (-2, 0) _____________, Explanation: (x, y) (x, 2y) Original perimeter: 24 Then apply the dilation (x, y) (\(\frac{3}{2}\)x, \(\frac{3}{2}\)y) and write the coordinates of the vertices of the image in the second column. C(-2, 4) C'( 2 (- 2), 2 4) C'(4, -8) . ratio of y-coordinates = 2, Explanation: d. (x, y) (\(\frac{2}{3}\)x, y) )ABC Type below: 2), (3.6)) -> B'(6, 18) Since it changes the size of a figure, it has no something to do with the changes when it comes to the angles of the image. Both Triangle S have Angle S of measures 38, 67 and 75. facial recognition time clock no monthly fee; mower deck spindle replacement Perimeter = ________ units x 2 Both Triangle S have Angle S of measures 38, 67 and 75. Type below: So, to learn maths in the best way, you must refer to HMH Go Math Grade 8 Solution Key. perimeter of the original square = 4 + 4 + 4 + 4 = 16 Is the crewmembers calculation correct if the painted replica is to cover the entire backdrop? Test yourself by practicing the problems from Texas Go Math Grade 8 Lesson 13.2 Answer Key Algebraic Representations of Dilations. Determine the coordinates of its image after a dilation with the given scale factor centered at the origin. (0, -4) cfelg. 18/4 = 4.5 mm Also, get the solutions to the review test on our Go Math Grade 8 Answer Key. Question 3. Type of function: Justification: 10. . Graph the image of the figure using the transformation given. Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. Communicate Mathematical Ideas Explain what each of these algebraic transformations does to a figure. Area = 4 square units, Explanation: Write the coordinates of the vertices of the preimage in the first column of the table. Type below: (x, y) -> (1.5x, 1.5y) A = (-4, 4), A = (-2, 2); Texas Go Math Grade 8 Lesson 13.2 Explore Activity Answer Key. What are the vertices of the dilated image? _____________, Answer: The first one is done for you. 10.2 Independent Practice - Algebraic Representations of Dilations - Page No. _____________, Answer: ________ inches Dilate the image by a scale factor of 1/3 and reflect it back across the x-axis. 1/3x = 1 velvet carpet for bedroom. Type below: Critique Reasoning The set for a school play needs a replica of a historic building painted on a backdrop that is 20 feet long and 16 feet high. OL@6BxtiJZ7f)^H(pjl4.I`'Fq rm;`$PE\!0P{a!-;}])o1Y-f /PMM$4x*gv|DeF. |_]prV8!Q~~p Question 12. AB/AB = 2/4 = 1/2 (x, y) -> (-x, y); (x, y) -> (x, 3y) Multiply each coordinate of the vertices of ABC by 2 to find the vertices of the dilated image A'B'C'. Answer: The coordinates of the vertices of the original image are multiplied by \(\frac{1}{2}\) for the purple square. Answer: The center of dilation is the origin and (x, y) (3x, 3y). The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. _____________, Answer: (-4, -2) a. coordinates for B _____________, Question 9. Type below: B: Rotate the square 180 around the origin. (-2, 1) (-4, 4) ratio of y-coordinates = _______ (9, 6), (3, 6), (9, 3), (3, 3), Question 2. figure B All the explanations are given by the best online maths experts. (-2, 0) But before this, let us soLve first the length of one side of the dilated image and the corresponding length of the originaL image using the distance formula Coordinates after dilation D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) (x, y) -> (2x, 2y), Question 9. The triangles have only one pair of congruent angles, Question 2. Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). Question 2. Justify Reasoning The graph of the line y = x is dilated by a scale factor of 3 and then translated up 5 units. (x, y) (\(\frac{2}{3}\)x, \(\frac{2}{3}\)y). a. Graph the image. When a dilation in the coordinate plane has the origin as the center of dilation, we can find points on the dilated image by multiplying the x and y coordinates of the original figure by the scale factor. b. The scale factor of the dilation is _______. endstream endobj 131 0 obj <>stream Stretch = Image Grows Larger x = 2 . 18/4 = 4.5 mm B (7.5, 3) Explanation: 2. Answer: A. Type below: Type below: (-1, -1) algebraic rule: (x, y) -> (1.5x, 1.5y), Question 3. . (x, y) -> (x+3, y+5), Question 5. 8cm 40 = 320cm When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor. In feet 6.25 4 = 25ft and 3.75 4 = 15 ft, Question 10. Type below: Answer: Critical Thinking Explain how you can find the center of dilation of a triangle and its dilation. 320, Algebraic Representations of Dilations Page No. (-1, -1), Question 6. 62 3099-5574 R. Quintino Bocaiva, 359, Centro - Anpolis/GO . H(5, 4) H'(5 1.5, 4 1.5) H'(7.5, 6) (4) _____________, Explanation: ratio of y-coordinates = -4/-2 = 2, Question 2. The blueprints are plotted on a coordinate plane. Algebric rule of dilation will be (x, y) (\(\frac{1}{4}\)x, \(\frac{1}{4}\)y), Question 11. Answer: (-2, 0) _____________, Explanation: So, the corresponding S are congruent. Participants need to fill out: The first page . Since the center of dilation is (0, 0), you can simply divide all . (7, 8) ratio of x-coordinates = 2 H (7.5, 6) Page 333: Ready to Go On? Highlight key terms and topics. (1, -1) Area = 64 square units, Explanation: 0 = -1/3 . dilation by scale factor of 3 (x, y) -> (3x, 3y) _____________. A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). This 8th-grade geometry guided notes and activity bundle is a great way for your students to learn about solving transformations, angle relationships, and 2d views of three-dimensional models! The stage crewmembers calculation is incorrect. A: (x, y) (-x, y) Lesson 2: 20.2 Algebraic Representations of Dilations. In Exercises 710, the transformation of a figure into its image is described. area = l.w = 2 . 130 0 obj <>stream Notes. k = \(\frac{2}{3}\), Next, Let us represent the dilation algebraically, using Question 16. Scale factor: _________ Is the crew members calculation correct if the painted replica is to cover the entire backdrop? The actual building measures 400 feet long and 320 feet high. a. c. (x, y) -> (3x, 3y) Question 6. After dilation )X}Dh=64z!vv 8 Perimeter = 2l + 2w = 2(8) + 2(8) = 32 Triangle RST has angles measuring 38 and 75. Triangle XYZ has angles measuring 54 and 29. 2 = 4. Type below: ________. Determine whether the given representation is representative of a linear, exponential, or quadratic function. _____________, Answer: At least one transformation must be a dilation with a scale factor other than 1, Question 6. (7, 4) Worksheets are Algebraic representations of dilations, Correctionkeyb transformations and similarity module 10, Lesson algebraic representations of transformations 9 4, Do not edit changes must be made through file info, Pre algebra, Graph the image of the figure using the transformation, Ixl skill alignment, Unit . For scale factors between 0 and 1, the image is smaller than the preimage. Solve a + 7 = 2a 8. The business owner wants it to remain on the left after the hypotenuse goes to the top. (x, y) (0.5x, 1.5y) Each case is succinctly presented in an easy-to-read question-answer, self-test format comprised of three printed pages of text and echo images. Draw Conclusions A figure undergoes a sequence of transformations that include dilations. Your service title Give us a brief description of the service that you are promoting. The division process is straightforward. R'(8.75, 2.5), Represent Real-World Problems The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. _____________, Answer: _____________, Answer: 10.2 Algebraic Representations of Dilations. Answer: endstream endobj 136 0 obj <>stream Answer: Rectangle FGHI(x, y) (1.5x, 1.5y) x = 3 When k is between 0 and 1, the dilation is a reduction by the scale factor k. Type below: The position of the sketch from 12A will be 1/2 unit above the sketch obtained when the translation occurs first. Jot down . Question 5. (-6, -1) (2x, 2y) 5. Determine whether one figure is a dilation of the other. In the given expression, we can notice that the x coordinate is multiplied with \(\frac{2}{3}\). Options: a. a = -3 _____________, Answer: Type below: b. Type below: The center of dilation is the origin and (x, y) (3x, 3y). Identify a sequence of two transformations that will transform figure A into the given figure. How many feet? Lesson Video 20.2 . b. y = \(\frac{1}{3}\)x + 1 algebraic rule: (x, y) -> (2/3x, 2/3y), Question 8. B'((3. Perimeter = 32 units lesson 10 2 algebraic representations of dilations 12th June 2022 . _____________, Answer: (x, y) (0.5x, 1.5y) 2a + a = 8 + 7 Algebra Review. Sketch triangle ABC and ABC for the dilation (x, y) (-2x, -2y). 21.2 Angle Theorems for Triangles. Then write an algebraic rule to describe the dilation. (-1, 1) _____________, Answer: 324, Algebraic Representations of Dilations Page No. The center of dilation is the origin and (x, y) (3x, 3y). What is the algebraic representation of this dilation? What is the scale factor in terms of inches to inches? The grid shows a diamond-shaped preimage. a. Describe the transformations that will transform the image back into the original figure. h27P0P0P02V0T05U0R0QP0J'A@PE0I8tc ! The figure is dilated by a factor of 2, but the orientation of the figure in the coordinate plane is rotated 180, Question 1. How can you use dilations to solve real-world problems? Type below: ratio of x-coordinates = ____________ d. y = 3x 1, Explanation: (-1, -1) Scale factor of 1.5 Question 2. How does multiplying a constant by the x variable of a function affect its graphical representation? Answer: Quadrilateral MNPQ has side lengths of 15 mm, 24 mm, 21 mm, and 18 mm. Dilation Geometry Definition: A dilation is a proportional stretch or shrink of an image on the coordinate plane based on a scale factor. The blueprint is the preimage and the house is the dilated image. b. perimeter of the image = 12 + 12 + 12 + 12 = 48, Question 20. _____________, Answer: To start, let us determine the scale factor k by dividing the length of one side of the dilated image by the corresponding length of the original image. Filled table is shown in the picture below. Some dilations are enlargements. Make a Conjecture hWKo@+{"eA"EmUQF &; q8|y<>&Bad Answer: Question 7. What dilation can you apply to the image to return it to the original preimage? Then write them algebraically. a = 5, Question 5. (0, -3) The center of dilation is the origin. MNPQ is not a dilation of MNPQ, Explanation: _____________, Answer: c. The drawing has the hypotenuse on the bottom. 0 = -1/3 . CorrectionKey=B Transformations and Similarity MODULE 10 3. Type below: Purple square -> (x, y) -> (1/2x, 1/2y), Question 6. Algebraic Representations Of Dialations Worksheets - total of 8 printable worksheets available for this concept. -6/-3 =2; 6/3 = 2 When k is greater than 1, the dilation is an enlargement by the scale factor k. Question 5. ratio of x-coordinates = _______ Draw Conclusions A figure undergoes a sequence of transformations that include dilations. 1/3x = 1 scale factor of \(\frac{1}{3}\) A square on the coordinate plane has vertices at (2, 2), (2, 2), (2, 2), and (2, 2). Scale factor: _________ Type below: a. Find the scale factor and the perimeter of each square. This is a bundle of all first grade Illustrative Math-Friendly Units 1-8. (2, -2) A: (x, y) (-x, y) scale factor = 3, Explanation: Type below: B: Rotate the square 180 around the origin. Clifford Algebras - Daniel Klawitter 2014-10-29 After revising known representations of the group of Euclidean displacements Therefore, we can conclude that dilation affects the length of line segments by either increasing or decreasing their length. Worksheets are Lodwlrqv3udfwlfh, Do not edit changes must be made through file info, Correctionkeyb transformations and similarity module 10, Graph the image of the figure using the transformation, Pre algebra, Lesson algebraic representations of transformations 9 4, Translations of shapes, Trainerinstructor notes . [GET] Lesson 10.2 Practice B Geometry Answers Pages 603-611 A 4 B 5 C 5.62 D 6.31 E 5.83 8. y = -2x + 6 I know that triangle ABC is a dilation of triangle ABC because the ratios of the corresponding x-coordinates are equal and the ratios of the corresponding y-coordinates are equal. Question 2. Question 1. The corresponding angles of triangle ABC and triangle ABC are congruent. (x, y) -> (x, -y) h2W0P+-60rb X;; | C. Apply the dilation to the preimage and write the coordinates of the vertices of the image in the second column of the table. LESSON 10-2 Practice and Problem Solving: A/B 1. Type below: Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). ________ feet, Question 9. Question 13. Quadrilateral MNPQ has side lengths of 15 mm, 24 mm, 21 mm, and 18 mm. lesson 10 2 algebraic representations of dilations. Type below: Multistep As with geometric figures, graphs can be transformed through translations, reflections, rotations, and dilations. Depending on the scale factor, dilation may increase or decrease the starting object. (x, y) (y, -x) (0, 4) (4, 0) Algebraic Representations of Dilations How can you describe the effect of a dilation on coordinates using an algebraic representation? C'((3. The angle measures are the same (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y), Question 6. B (7.5, 3) Problem 2 : The triangle ABC shown on the grid is the pre-image. Type below: What is the algebraic representation of this dilation? Scale factor: _________ Lesson 6 - Algebraic Representations of Translations (Notes, Key) Lesson 8 - Algebraic Representations of Reflections (Notes, Key) Lesson 10 - Algebraic Representations of Rotations (Notes, Key) Lesson 15 . a. a. The blueprint is the preimage and the house is the dilated image. x 2 The solution for this requires that you take the fifth root of both sides. When k is greater than 1, the dilation is an enlargement by the scale factor k. Texas Go Math Grade 8 Lesson 13.2 Independent Practice Answer Key, Question 5. The vertices of the dilated image are F'(3.5, 3.5), G'(7.5, 3.5), H'(7.5, 6) and I'(, 9). (x, y) (\(\frac{2}{3}\)x, y) MNOP has vertices at M(4.5, 6), N(9, 6), O(9, 10.5), and P(4.5, 10.5). H (7.5, 6) 3a = 15 _____________, Answer: 2), (3.6)) -> B'(6, 18) Question 12. Type below: Question 4. So we get our dilation tool out. Type below: Dilate each figure with the origin as the center of dilation. (3, 4) If the dilation produce a larger figure the line segments of the dilated figure is longer than the original figure Also, if the dilation produce a smaller figure, the line segments of the dilated figure is smaller than the original figure. The scale factor is the number that describes the change in size in a dilation Make sure that students bubble in their answers for the front page (#1-7) and the back page (#8-14). coordinates for C 77% average accuracy. The actual building measures 400 feet long and 320 feet high. (-2, 2) height: |QT| = |6.25 2.5| = 3.75 inch _____________, Answer: Perimeter = 32 units Answer: ________ feet, Question 9. D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) endstream endobj 132 0 obj <>stream MN = \(\sqrt{9}\) D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) Then apply the dilation (x, y) (\(\frac{3}{2}\)x, \(\frac{3}{2}\)y) and write the coordinates of the vertices of the image in the second column. Question 2. (-4, -2), Question 12. B'(6, 18) In the given expression, we can notice that the y coordinate is multiplied with 2 Considering the fact that the x coordinate stayed the same and the fact that the y coordinate is multiplied with a number bigger then 1, we can conclude that given figure is vertically streched. Sketch the image of the figure after the dilation. . Orientation of the figure in the coordinate plane is rotated 180. The scale factor is \(\frac{1}{4}\) Question 3. The figure and its final image are congruent. Mod 20-2.mp4. h2U0P62 24Ey%!E Algebraic Representations of Dilations Practice and Problem Solving: D Use triangle ABC for Exercises 1-4. a = 15/3 a. y = -2x + 6 4), (3.-3)) -> C'(12, -9), Question 7. Multiply each coordinate of the vertices of rectangle FGHI by 1, 5 to find the vertices of the dilated image. Image perimeter: _________, Answer: \(\frac{1}{4}\) = \(\frac{1}{4}\) So, the scale factor is \(\frac{1}{20}\), and algebric rule of dilation is (x, y) (\(\frac{1}{20}\)x, \(\frac{1}{20}\)y) (kx, ky) (\(\frac{1}{k}\)(kx), \(\frac{1}{k}\)(ky)) (x, y) Rotate the drawing 180 around the origin. Download Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity pdf for free of cost. _____________, Answer: properties of dilations lesson 10-1 answer key, algebraic representations of dilations lesson 10-2 answers, lesson 17-1 dilations answers, lesson 17-1 practice dilations answers, lesson 10.1 properties of dilations answer key, lesson 11.1 dilations answer key, lesson 4 dilations answer key, lesson 11-1 dilations reteach answers, lesson 17-1 dilations answers page 247, lesson 13.1 properties of . Image perimeter: _________, Answer: 326, Similar Figures Lesson Check Page No. a year ago. Lesson 16 - Combining Dilations (Notes, Key) 10. _____________. 1. What are the coordinates of the new room? The homeowner wants this room to be 25% larger. (0, 4) D. Sketch the image after the dilation on the coordinate grid. 2 bedroom house for rent in evanston, il lesson 10 2 algebraic representations of dilations. _____________, Answer: Refer to our Texas Go Math Grade 8 Answer Key Pdf to score good marks in the exams. Question 4. 37, 53, and 90, Question 6. y^m52p=Dupxm`>szry]-Ma!BH#0JT4X%`AcBM&1u)IQJS 9sNgql@IF2.P1 3u,P _____________, Answer: (x, y) (x, 2y) Type below: Critical Thinking MNOP has vertices at M'(3, 4), N'(6, 4), O'(6, 7), and P'(3, 7). A'(-15, -12), B'(6, 12) and C'(12, -9). The first idea is that we can construct representations of relationships between two sets of quantities and that these representations, which we call functions, have common traits. Given M(4.5, 6), N(9, 6), 0(9, 10.5), P(4.5, 10.5) and M'(3, 4), N'(6, 4), O'(6, 7), M(3, 7) center at the origin, Let us represent the dilation algebraically. Write the algebraic representation of the dilation shown. how to install glue down carpet tiles > calgary obituaries 2021 > lesson 10 2 algebraic representations of dilations. dilation with a scale factor of 0.5 h24T0P044P06R A square on the coordinate plane has vertices at (2, 2), (2, 2), (2, 2), and (2, 2). _____________. (x, y) (y, -x) c. y = \(\frac{2}{3}\)x 2 The dilation should be centered at 9, negative 9, and have a scale factor of 3. There will be no change in their sizes and has no effect in the preimage. _____________, Answer: Therefore, considering the fact that the coordinate is multiplied with a number smaller then 1 and the fact that the y coordinate is multiplied with a number bigger then 1, we can conclude that given figure is horizontally shrikned and vertically streched. Quadrilateral DEFG has sides measuring 16 m, 28 m, 24 m, and 20 m. Quadrilateral DEFG has sides measuring 20 m, 35 m, 30 m, and 25 m. The center of dilation is the origin. 715 Module 20 Lesson 2 Algebraic Representation of Dilation DRAFT. c. a = 5 What is the effect on the figure when k > 1? If you draw a line connecting each pair of corresponding vertices, the lines will intersect at the center of dilation, Question 20. Dilate the image by a scale factor of 1/3 and reflect it back across the x-axis. Type below: Type below: _____________, Answer: DRAFT. b. Type below: Perform a dilation on the coordinate plane. c. (x, y) -> (x, -y); (x, y) -> (3x, y) a dilation produces an image similar to the original figure, Question 10. (x, y) -> (-x, y), Question 11. Type below: -4/-2 =2; 4/2 = 2 Each coordinate of Triangle UVW is 3/4 times the corresponding coordinate of Triangle UVW. B(-2, 1) B'( 2 ( 2), 2 1) B'(4, -2) .. (2) The center of dilation is the origin. x 2 Type below: Apply the indicated sequence of transformations to the square. (x, y) -> (1.5x, 1.5y) Picture below shows the image of the figure before and after dilation. (x, y) -> (1/5x, 1/5y), Question 10. Type below: Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. _____________, Answer: Critical Thinking MNOP has vertices at M(3, 4), N(6, 4), O(6, 7), and P(3, 7). Communicate Mathematical Ideas Explain what each of these algebraic transformations does to a figure. x = 1/3, Question 6. Lesson 2: Algebraic Representations of Dilations, Question 1. No; one figure is not a dilation of the other, Explanation: MNPQ is not a dilation of MNPQ, Explanation: Justify your answer. Multiply each coordinate by the scale . Blueprint dimensions: 6.25 in. dilation with a scale factor of 0.5 R'(8.75, 2.5), Determine whether one figure is a dilation of the other. One inch on the blueprint represents 1 48 feet = 48 \(\frac{1}{12}\) inch = 4 inch, c. Write the algebraic representation of the dilation from the blueprint to the house. lesson 10 2 algebraic representations of dilations. Perimeter = ________ units ADDITIONAL EXAMPLE 1. A'((3.-15), (3.-12)) -> A'(-15, -12) e. (x, y) (0.5x, 1.5y) (-1, 1) Answer: Answer: Area = ________ square units, Answer: (0, -4) Transformations (including Dilations): 16.1 And 16.2 - Quizlet. _____________, Answer: b. For each pair of corresponding vertices, find the ratio of the x-coordinates and the ratio of the y-coordinates. Answer: Answer: Find the scale factor and the perimeter of each square. 1. Sketch the image of the figure after the dilation.
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