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Name: Class: Date: Rotations & Dilations Standards: 8.GM.2 Apply the properties of rigid transformations. 8.GM.3a Use coordinate geometry to describe the effect of transformations on two-dimensional figures. 8.GM.3b Relate scale drawings to dilations of geometric figures. Indicate the answer choice that best completes the statement or answers the question. Quadrilateral MNQP has vertices as shown. 1. If the figure is rotated 180° clockwise about the origin, what are the coordinates of ? a. (2, –3) b. (–2, –3) c. (–2, 3) d. (2, 3) 2. Which type of transformation turns a figure around a fixed point? a. dilation b. reflection c. rotation d. translation Find the coordinates of the image’s vertices. 3. A rectangle with vertices A(0, –4), B(0, –7), C(7, –7)and D(7, –4) is rotated 270° clockwise about the origin. a. A’(0, 4), B’(0, 7), C’(7, 7), and D’(7, 4) b. A’(4, 0), B’(7, 0), C’(7, 7), and D’(4, 7) c. A’(0, –4), B’(0, –7), C’(–7, –7), and D’(–7, –4) d. A’(0, 4), B’(0, 7), C’(–7, 7), and D’(–7, 4) 4. A triangle with vertices L(–4, 3), M(–4, 7), and N(–7, 3) is rotated 90° clockwise about the origin. a. L’(4, 3), M’(4, 7), and N’(7, 3) b. L’(3, –4), M’(7, –4), and N’(3, –7) c. L’(3, 4), M’(7, 4), and N’(3, 7) d. L’(–3, 4), M’(–7, 4), and N’(–3, 7) Page 1 Name: Class: Date: Rotations & Dilations Standards: 8.GM.2 Apply the properties of rigid transformations. 8.GM.3a Use coordinate geometry to describe the effect of transformations on two-dimensional figures. 8.GM.3b Relate scale drawings to dilations of geometric figures. Enter the appropriate value to answer the question or solve the problem. Segment D'R' is a dilation of segment DR. 5. What is the scale factor of the dilation? 6. Find the vertices of polygon polygon . after polygon ABC is dilated using the given scale factor. Graph polygon ABC and A(–3, 6), B(0, –3), C (9, 3); scale factor Indicate the answer choice that best completes the statement or answers the question. 7. LANDSCAPING A landscape designer has a drawing of a flower bed that measures 6 inches by 9 inches. The owner wants the actual flower bed to be 5 feet by 7.5 feet. What is the scale factor the designer must use to install the new flower bed? a. 10 b. 20 c. 100 d. 1,000 Page 2 Name: Class: Date: Rotations & Dilations Standards: 8.GM.2 Apply the properties of rigid transformations. 8.GM.3a Use coordinate geometry to describe the effect of transformations on two-dimensional figures. 8.GM.3b Relate scale drawings to dilations of geometric figures. 8. Rectangle M is similar to rectangle N. Which scale factor was used to dilate rectangle M to rectangle N? a. b. c. d. 9. What are the coordinates of the image of point K after GHK is rotated 90° counterclockwise about point G? 10. Triangle QRS has vertices Q(0, –6), R(3, 0), and S(3, –6). What are the coordinates of the image of point S after a dilation with a scale factor of ? Page 3 Name: Class: Date: Rotations & Dilations Standards: 8.GM.2 Apply the properties of rigid transformations. 8.GM.3a Use coordinate geometry to describe the effect of transformations on two-dimensional figures. 8.GM.3b Relate scale drawings to dilations of geometric figures. Page 4 Name: Class: Date: Rotations & Dilations Standards: 8.GM.2 Apply the properties of rigid transformations. 8.GM.3a Use coordinate geometry to describe the effect of transformations on two-dimensional figures. 8.GM.3b Relate scale drawings to dilations of geometric figures. Answer Key 1. a 2. c 3. b 4. c 5. 1 3 6. (–2, 4), (0, –2), (6, 2) 7. a 8. c 9. (1, 8) 10. (1, –2) Page 5