Lesson 4 Practice Problems

How do we know triangle ABC is equilateral?

• It is inscribed in a circle.

• All angles are 90 degrees.

• It has two equal sides.

• All sides are equal in length.

How many equilateral triangles are there in the diagram?

• Two

• Three

• Four

• Five

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 true statements.

• AC = BD

• CD = AB

• ABCD is a square

• ABD is an equilateral triangle

Line segment CD is the perpendicular bisector of line segment

AB. 

Is line segment AB the perpendicular bisector of line segment CD?

• Yes, because CD is bisected by AB.

• No, because AB is not perpendicular to CD.

• No, because CD is not bisected by AB.

• Yes, because AB is perpendicular to CD.

Using only a straightedge, can you find points equidistant from A and B?

• Yes, by drawing a circle centered at A.

• No, a straightedge alone is insufficient.

• No, because A and B are not on the same line.

• Yes, by drawing a line through A and B.

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. AB⊥CD

Which statement is true?

• EA = EM

• AM = BM

• CM = DM

The diagram was constructed with straightedge and compass tools. Which two segments have the same length as segment AC?

• AB

• CB

• CE

• BE

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 ?

• CE

• CA

• CD

• CB