# Lesson 3: Perpendicular Bisectors

- Author:
- Joe Garcia

## 3.1 Perpendicular Bisector

## 3.2

Is point C the midpoint of segment AB?

## 3.3

Use compass and straightedge moves to construct the perpendicular bisector for segment PR.

## 3.4

Mr. Garcia made the construction below. He claims that point E is the midpoint of segment MN. Is he correct? Perform the perpendicular bisector construction to see if he is correct.

## 3.5 Is point X the midpoint? Prove your response with the perpendicular bisector construction.

## 3.6 Follow the steps below to preform the geometric construction

1) Create a circle centered at

**B,**with radius**BA**2) Create a circle centered at**A**with radius**AC**3) Create a circle centered at**C**with radius**CA**4) Circles**A**and**C**intersect at two points, place a point labeled**D**on the intersection furthest right. 5) Connect point**D**and**B**with a line