# Lesson 2

Constructing Patterns

The practice problem answers are available at one of our IM Certified Partners

### Problem 1

This diagram was created by starting with points $$A$$ and $$B$$ and using only straightedge and compass to construct the rest. All steps of the construction are visible. Describe precisely the straightedge and compass moves required to construct the line $$CD$$ in this diagram.

### Problem 2

In the construction, $$A$$ is the center of one circle, and $$B$$ is the center of the other. Identify all segments that have the same length as segment $$AB$$.

A:

segment $AC$

B:

segment $AE$

C:

segment $BC$

D:

segment $CD$

E:

segment $DE$

### Problem 3

This diagram was constructed with straightedge and compass tools. $$A$$ is the center of one circle, and $$C$$ is the center of the other. Select all line segments that must have the same length as segment $$AB$$.

A:

$$AB$$

B:

$$AC$$

C:

$$BC$$

D:

$$BD$$

E:

$$CD$$

(From Geometry, Unit 1, Lesson 1.)

### Problem 4

Clare used a compass to make a circle with radius the same length as segment $$AB$$. She labeled the center $$C$$. Which statement must be true?

A:

$AB=CD$

B:

$AB=CE$

C:

$AB=CF$

D:

$AB=EF$

(From Geometry, Unit 1, Lesson 1.)