# Build It

# Build It

##### Problem 1

1) Here is a diagram of a straightedge and compass construction. $C$ is the center of one circle, and $B$ is the center of the other. Explain why the length of segment $BD$ is the same as the length of segment $AB$.

##### Problem 2

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

##### Problem 3

3) The diagram was constructed with straightedge and compass tools. Points $A$, $B$, $C$, $D$, and $E$ are all on line segment $CD$. Name a line segment that is half the length of $CD$.

4) Explain how you know.

##### Problem 4

This diagram was constructed with straightedge and compass tools. $A$ is the center of one circle, and $C$ is the center of the other.

5) The 2 circles intersect at point $B$. Label the other intersection point $E$.

6) How does the length of segment $CE$ compare to the length of segment $AD$?