Lesson 5
More Dilations
Let’s look at dilations in the coordinate plane.
Problem 1
Quadrilateral \(ABCD\) is dilated with center \((0,0)\), taking \(B\) to \(B'\). Draw \(A'B'C'D'\).

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 \(ABC\), with center \((0,0)\), and scale factor 2. Label this triangle \(A’B’C’\).
- Draw the dilation of triangle \(ABC\), 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
Triangle \(DEF\) is a right triangle, and the measure of angle \(D\) is \(28^\circ\). What are the measures of the other two angles?