Construct a Perpendicular Bisector

Instructions

1. Use the "Compass" tool to create two congruent circles. First, create a circle with radius AB and center A, then create a circle with radius AB and center B. 2. Place points using the "Point on Figure" tool at each intersection of the two created circles. Call those two point C and D. 3. Connect the two points C and D using the "Segment" tool. 4. Call the intersection of segment AB and segment CD point E.

Question 1

What is the measure of AEC?

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Question 2

Construct a line segment AC and a segment BC. What shape is formed by the points A, B, and C?

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Question 3

What is the measure of ACB?

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