Lesson 5Problem 1Quadrilateral ABCD is dilated with center (0,0), taking B to B′. Draw A′B′C′D′. Solution Problem 2Triangles B and C have been built by dilating Triangle A. 1. Find the center of dilation.
2. Triangle B is a dilation of A with approximately what scale factor?
3. Triangle A is a dilation of B with approximately what scale factor?
4. Triangle B is a dilation of C with approximately what scale factor?
Solution
1. The center of dilation is here: 2. 3
3. 13
4. 23
Problem 3Here is a triangle.
1. Draw the dilation of triangle ABC, with center (0,0), and scale factor 2. Label this triangle A′B′C′.
2. Draw the dilation of triangle ABC, with center (0,0), and scale factor 12. Label this triangle A″B″C″.
3. Is A″B″C″ a dilation of triangle A′B′C′? If yes, what are the center of dilation and the scale factor? Solution
1. 2. 3. Yes, A″B″C″ is a dilation of A′B′C′ with center (0,0) and scale factor 14.
Problem 4(from Unit 1, Lesson 15)Triangle ABC is a right triangle, and the measure of angle A is 28∘. What are the measures of the other two angles? Solution90∘ and 62∘