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If the scale factor k is between 0 and 1 the image is a reduction. The figure is reflected across the y-axis and dilated by a scale factor of 4. B = (4, 2), B = (2, 1); Options: _____________, Answer: What dilation can you apply to the image to return it to the original preimage? Reflection over x-axis (x, y) -> (x, -y) Perimeter = ________ units G7 Math Lesson 10.2 Algebraic Representations of Dilations STUDY Flashcards Learn Write Spell Test PLAY Match Gravity algebraic expression Click card to see definition Click again to see term 1/15 Created by weiennlee TEACHER Terms in this set (15) algebraic expression dilation vertex (plural: vertices) (:vertices) (3, 8) 0 = 2/3 . c. The drawing has the hypotenuse on the bottom. OL@6BxtiJZ7f)^H(pjl4.I`'Fq rm;`$PE\!0P{a!-;}])o1Y-f /PMM$4x*gv|DeF. |_]prV8!Q~~p coordinates for A A. Question 7. The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals _______. Type below: Question 1. Lets find the ratio oft: x-coordinates of corresponding points D. Sketch the image after the dilation on the coordinate grid. A. Find the scale factor and the perimeter of each square. What is the algebraic representation of this dilation? Answer: For each pair of corresponding vertices, find the ratio of the x-coordinates and the ratio of the y-coordinates. y = -1/3 . Represent Real-World Problems The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. a dilation produces an image similar to the original figure, Question 10. e. (x, y) (0.5x, 1.5y) 325. 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 . b. Then write an algebraic rule to describe the dilation. (-2, -2) A (3, 3) Answer: A dilation of the square has vertices at (6, 6), (6, 6), (6, 6), and (6, 6). A dilation can produce a larger figure (an enlargement) or a smaller figure (a reduction). 130 0 obj <>stream Picture below shows the image of the figure before and after dilation. Algebraic Representation: Meaning & Examples | StudySmarter Find the angle measures of the actual sign. The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals 2. After dilation In the given expression, we can notice that both coordinates changed its sign Considering the fact that positive and negative parts of both axis are spaced 180 apart, we can conclude that the algebraic transformation rotated a figure for 180. _____________, Explanation: Lets find the ratio of length \(\frac{20}{400}\) = \(\frac{1}{20}\) _____________, Answer: I know that triangle ABC is a dilation of triangle ABC because the ratios of the corresponding x-coordinates are _______ and the ratios of the corresponding y-coordinates are _______. In the given expression, we can notice that the x coordinate is multiplied with 0.5 and that the y-coordinate is multiplied with 1.5. Answer: 715 Module 20 Lesson 2 Algebraic Representation of Dilation - Quiz algebraic rule: (x, y) -> (2/3x, 2/3y), Question 8. a. a dilation by a scale factor of 4 G(5, 2) G'(5 1.5, 2 1.5) G'(7.5, 3) (2) MN = \(\sqrt{(4.5)^{2}+(0)^{2}}\) Scale factor: _________ Green square -> (x, y) -> (2x, 2y) Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. c. What are the perimeter and area of the preimage? Multistep As with geometric figures, graphs can be transformed through translations, reflections, rotations, and dilations. The figure is dilated by a scale factor of 5 and rotated 90 clockwise. (-1, -1), Question 6. Question 5. scale factor of \(\frac{1}{3}\) 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 . D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) H (7.5, 6) The stage crewmembers calculation is incorrect. Students can overcome their difficulties with the help of the Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key. Identify a sequence of two transformations that will transform figure A into the given figure. b. (x, y) -> (1/5x, 1/5y), Question 10. Type below: The corresponding angles of triangle ABC and triangle ABC are _______. (x, y) -> (2.5x, 2.5y), Question 3. Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. (1, 1) (-2, 0) Question 1. (-4, -2) When 0 < k < the dilation is a reduction of the original by the scale k. What k > 1 the dilation is a enlargement of the original by the scale k. Explanation B: _____________, Explanation: Page 338: Performance Tasks. Answer: A: (x, y) (-x, y) Time Squared Activity: Each participant gets 3 pages with 24 squares representing the hours in a day. e. What are the dimensions of the new room, in inches, on the blueprint? lesson 10 2 algebraic representations of dilations _____________, Answer: scale factor = 1/2, Question 19. The center of dilation is the origin. _____________. (x, y) -> (2.5x, 2.5y) _____________, Answer: B (7.5, 3) Image perimeter: 48, Explanation: Question 12. 10.2 Solving Exponential Equations - Intermediate Algebra. Answer: DOCX Concord Consortium Find the lengths of the sides of the actual sign. d. What are the perimeter and area of the image? Type below: _____________, Answer: Type below: Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). DRAFT. ratio of y-coordinates = -4/-2 = 2, Question 2. perimeter of the image = 12 + 12 + 12 + 12 = 48, Question 20. _____________, Answer: What is the length of a side of the image? _____________. A stage crewmember writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. Question 5. Type below: k = \(\frac{3}{4.5}\) a. 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. Label each image with the (1, 1) Mod 20-2 Class Problems. What is the scale factor for the dilation? B (7.5, 3) (x, y) ( x, -y) Blueprint dimensions: 6.25 in. endstream endobj 131 0 obj <>stream Graph the image of each figure after a dilation with the origin as its center and the given scale factor. What are the vertices of the dilated image? lesson 10 2 algebraic representations of dilations ratio of x-coordinates = 2 Lesson 2: 20.2 Algebraic Representations of Dilations. The figure is dilated by a factor of 2, but the orientation of the figure in the coordinate plane is rotated 180, Question 1. On a coordinate plane, triangle UVW has coordinates U(20, 12), V(8, 6), and W(24, -4). Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity Online PDF to help the students to practice maths. (4, 0) Question 4. 21.1 Parallel Lines Cut by a Transversal. Critical Thinking Explain how you can find the center of dilation of a triangle and its dilation. C: (x, y) (x 5, y 6) Displaying all worksheets related to - Lesson Algebraic Representation Of Dilations 102. What is the algebraic representation of this dilation? Describe how the graph of y = x shown at the right is changed through each of the following transformations. The blueprints are plotted on a coordinate plane. B'((3. 324, Algebraic Representations of Dilations Page No. figure D Is this the same as translating the graph up 5 units and then dilating by a scale factor of 3? (-4, -2) d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Answer: The blueprint is the preimage and the house is the dilated image. 320, Algebraic Representations of Dilations Page No. Critical Thinking A dilation with center (0, 0) and scale factor k is applied to a polygon. Type below: c. a = 5 MNOP has vertices at M(4.5, 6), N(9, 6), O'(9, 10.5), and P'(4.5, 10.5). _____________, Answer: The triangles have only one pair of congruent angles, Question 2. B. How does the dilation affect the length of line segments? 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). 320, Algebraic Representations of Dilations Page No. (x, y) (0.5x, 1.5y) One inch on the blueprint represents how many inches in the actual house? _____________, Answer: coordinates for B Perimeter = 2l + 2w = 2(2) + 2(2) = 8 (7, 8) lesson 10 2 algebraic representations of dilations B: Rotate the square 180 around the origin. perimeter of the original square = 4 + 4 + 4 + 4 = 16 original coordinates and the ratio of the y-coordinates of corresponding points What is the scale factor in terms of inches to inches? a. y = 2x + 6 Reflect the drawing over the x-axis If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other? The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. (5, -3), Question 5. 10.2 Algebraic Representations of Dilations. h24T0P044P06R After dilation: 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. x = 1/3, Question 6. C'(12, -9), Explanation: Sketch the image of the figure after the dilation. (x, y) -> (-x, y); (x, y) -> (3x, 3y) Purple square -> (x, y) -> (1/2x, 1/2y), Question 6. x = 3 B(2, 6) B'(3 2, 3 6) B'(6, 12) (2) Determine the coordinates of its image after a dilation with the given scale factor centered at the origin. Type below: