Lesson 5: Practice Problems

Problem 1

Quadrilateral $A B C D$ is dilated with center $(0, 0)$ , taking $B$ to $B^{'}$ . Draw $A^{'} B^{'} C^{'} D^{'}$ .

A quadrilateral with points A (-2, 3), B (3, 1), C (1, -1), D (-3, -2). Point B' is at (6, 2 )

Problem 2

Triangles $B$ and $C$ have been built by dilating Triangle $A$ .

Find the center of dilation.
Triangle $B$ is a dilation of $A$ with approximately what scale factor?
Triangle $A$ is a dilation of $B$ with approximately what scale factor?
Triangle $B$ is a dilation of $C$ with approximately what scale factor?

Problem 3

Here is a triangle.
- Draw the dilation of triangle $A B C$ , with center $(0, 0)$ , and scale factor 2. Label this triangle $A^{'} B^{'} C^{'}$ .
- Draw the dilation of triangle $A B C$ , with center $(0, 0)$ , and scale factor $\frac{1}{2}$ . Label this triangle $A^{″} B^{″} C^{″}$ .
Is $A^{″} B^{″} C^{″}$ a dilation of triangle $A^{'} B^{'} C^{'}$ ? If yes, what are the center of dilation and the scale factor?

Problem 4 From Unit 1 Lesson 15

Triangle $D E F$ is a right triangle, and the measure of angle $D$ is $28^{\circ}$ . What are the measures of the other two angles?