Geometry Unit 1 Mid (1-4) Review

A, B, and C are centers of the 3 circles. How many equilateral triangles are in this diagram?

This diagram is a straightedge and compass construction. A is the center of one circle, and B is the center of the other. Select all the true statements.

• $AC=BC$

• $AC=BD$

• $CD=AB$

• ABCD is a square

• ABD is an equilateral triangle

In this diagram, line segment CD is the perpendicular bisector of line segment AB. Assume the conjecture that the set of points equidistant from A and B is the perpendicular bisector of AB is true. Select all statements that must be true. (Page 27 #6)

• $AM=BM$

• $CM=DM$

• $EA>EB$

• $AM<AB$

• $AM>BM$

The diagram was constructed with straightedge and compass tools. Name one segment that have the same length as segment AC.

In the construction, A is the center of one circle and B is the center of the other. Which segment has the same length as AB?

• $CB$

• $CD$

• $CE$

• $CA$

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

• $AB>CD$

• $AB=CD$

• $AB>CE$

• $AB=CE$

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 AB.

• segment $AC$

• segment $AE$

• segment $BC$

• segment $CD$

• segment $DE$

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.

• $AB$

• $AC$

• $BC$

• $BD$

• $CD$