# Lesson 5

More Dilations

### Problem 1

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

### Solution

Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.

### Problem 2

Triangles $$B$$ 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

Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.

### Problem 3

Here 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 $$\frac{1}{2}$$. 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

Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.

### Problem 4

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

### Solution

Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.

(From Unit 1, Lesson 15.)