Name: Date: Per: (H9.5) Unit 9: Transformations Homework 5: Dilations (origin as center) ** This is a 2-page document! ** Directions: Graph and label each figure and its image under a dilation with the given scale factor. Assume all dilations use the origin as the center of dilation. Give the coordinates of the image. 1. Quadrilateral ABCD with vertices A(-4, 1), B(-2, 3), C(0, -2), and D(-5, -2): k = 3 2. Triangle LMN with vertices L(2, -8), M(12,8), and N(14,-4): k = A'L B'C C' ( D'L 3. Rectangle PQRS with vertices P(5, 15), Q(15, 15), R(15, 10), and S(5, 10): k = 4/5 L' L'C M' ( N' C 4. Rhombus WXYZ with vertices W(2, -4), X(6,-2), Y(10, -4), and Z(6, -6): k = 3/2 P'L 2'L R' C [[[ -S' C 1111 W' ( X ( Y' ( Z' 5. Square MNOP with vertices M(-7, -4), N(-4, -3), O(-3, -6), and P(-6, -7): k=2 6. Trapezoid DEFG with vertices D(-5, 15), E(10, 10), F(10, 5), and G(-5, 0): k = 1/5 M'( N'C O'C P' ( L L L L D'(. E' ( F' ( G' ( 7777 LLL Gina Wilson (All Things Algebra, LLC), 2015-2018 rigs Algebra, LLC). 2015-2018 7. Graph the image of the triangle below using a scale factor of k = 4. 8. Graph the image of the rectangle below using a scale factor of k = 5/2. S'C ]] T'C U' LEL 9. Graph the image of the quadrilateral below using a scale factor of k = 1/3. FY J' K'L L'C M'C 10. Graph the image of the triangle below using a scale factor of k = 34. D B'C C' D'L E' ( 11. P'(12,-3) is the image of P after a dilation centered at the origin with a scale factor of 3. What are the coordinates of P? Y' ( Y'L Z' ( 12. K'(-2.5, -0.5) is the image of P after a dilation centered at the origin with a scale factor of 1/4. What are the coordinates of K? 13. Identify the scale factor used to graph the image below. G' 14. Identify the scale factor used to graph the image below. U G I' T r Y Gina Wilson (All Things Algebra, LLC), 2015-2018