NAME DATE PERIOD
Lesson 3 Homework Practice
Dilations
Determine the coordinates of the vertices of each figure after a dilation with the given scale factor k. Write an algebraic representation for the dilation. Then graph the original image and the dilation, and compare and contrast the figures.
1. S(–2, 1), U(0, 1), N(–1, –1); k = 4 2. M(–3, 1), A(1, 3), T(2, –2), H(–4, –2); k =12
3. F(–2, 1), U(–1, 2), N(3, 1); k = 2 4. P(–4, 2), L(2, 4), A(2, –4), Y(–4, –2); k =14
5. Rachel and her cousin, Lena, live in different cities that are about 100 miles apart. On a map, the two cities measure
5 inches apart. What is the scale factor used for the map?
6. A square has vertices J(–1, 4), U(5, 4), M(5, –2), P(–1, –2). After a dilation, square JUMP has vertices J(–0.5, 2), U(2.5, 2), M(2.5, –1), P(–0.5, –1). What is the scale factor of the dilation?
7. 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?
Lesson 3 Skills Practice
Dilations
Determine the coordinates of the vertices of each figure after a dilation with the given scale factor k. Then graph the original image and the dilation.
1. J(–4, –1), K(0, 4), L(–4, –2); k=12 2. R(–2, 1), A(1, 1), I(0, –1), N(–1, –1); k = 2
3. P(–3, 3), Q(6, 3), R(6, –3), S(–3, –3); k=13 4. A(1, –2), B(2, 1), C(3, 0); k = 3
5. Kiesha used a photo that measured 4 inches by 6 inches to make a copy that measured 8 inches by 12 inches. What is the scale factor of the dilation?
6. David built a model of a regulation basketball court. His model measured approximately 3.75 feet long by 2 feet wide. The dimensions of a regulation court are 94 feet long by 50 feet wide. What is the scale factor David used to build his model?
7. On the blueprints of Mr. Wong’s house, his great room measures 4.5 inches by 5 inches. The actual great room measures 18 feet by 20 feet. What is the scale factor of the dilation?
Course 3 • Chapter 2 Similarity and Dilations