# Constructing Patterns

# Constructing Patterns

##### Problem 1

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

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 $AB$. Write each corresponding letter in the answer box and separate letters with commas.

a) segment $AC$ $\quad\quad$ b) segment $AE$ $\quad\quad$ c) segment $BC$ $\quad\quad$ d) segment $CD$ $\quad\quad$ e) segment $DE$

##### Problem 3

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 $AB$. Write each corresponding letter in the answer box and separate letters with commas.

a) $AB$ $\quad\quad$ b) $AC$ $\quad\quad$ c) $BC$ $\quad\quad$ d) $BD$ $\quad\quad$ e) $CD$

##### Problem 4

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