Lesson 4: Practice Problems

Problem 1

Triangle $A B C$ is dilated using $D$ as the center of dilation with scale factor 2.

The image is triangle $A^{'} B^{'} C^{'}$ . Clare says the two triangles are congruent, because their angle measures are the same. Do you agree? Explain how you know.

Dilation point D and triangles ABC and larger triangle A'B'C'.

Problem 2

On graph paper, sketch the image of quadrilateral $P Q R S$ under the following dilations:

The dilation centered at $R$ with scale factor 2.
The dilation centered at $O$ with scale factor $\frac{1}{2}$ .
The dilation centered at $S$ with scale factor $\frac{1}{2}$ .

A grid with quadrilateral PQRS and point O 3 units below point Q.

Problem 3 From Unit 1 Lesson 14

The diagram shows three lines with some marked angle measures.

Find the missing angle measures marked with question marks.

Two lines cut by a third line. An intersecting angle 35 deg on one line and 27 deg on the other line in the same position

Problem 4 From Unit 1 Lesson 4

Describe a sequence of translations, rotations, and reflections that takes Polygon $P$ to Polygon $Q$ .

two of the same figure on a square grid in different orientations and position

Problem 5 From Unit 1 Lesson 6

Point $B$ has coordinates $(- 2, - 5)$ . After a translation 4 units down, a reflection across the $y$ -axis, and a translation 6 units up, what are the coordinates of the image?