Lesson 2: Practice Problems

Problem 1

Here are Circles $c$ and $d$ . Point $O$ is the center of dilation, and the dilation takes Circle $c$ to Circle $d$ .

Plot a point on Circle $c$ . Label the point $P$ . Plot where $P$ goes when the dilation is applied.
Plot a point on Circle $d$ . Label the point $Q$ . Plot a point that the dilation takes to $Q$ .

Blue circle c and larger green circle d with center point O

Problem 2

Here is triangle $A B C$ .

Dilate each vertex of triangle $A B C$ using $P$ as the center of dilation and a scale factor of 2. Draw the triangle connecting the three new points.
Dilate each vertex of triangle $A B C$ using $P$ as the center of dilation and a scale factor of $\frac{1}{2}$ . Draw the triangle connecting the three new points.
Measure the longest side of each of the three triangles. What do you notice?
Measure the angles of each triangle. What do you notice?

Problem 3 From Unit 1 Lesson 12

Describe a rigid transformation that you could use to show the polygons are congruent.

Two triangles, ABC and EFG.

Problem 4 From Unit 1 Lesson 15

The line has been partitioned into three angles.

A line partitioned into 3 angles. From left to right: 39, 99, and 42 degrees.

Is there a triangle with these three angle measures? Explain.