Lesson 3 Practice Problems

Which statement is true about the diagram with centers A and B?

• The length AB is equal to the length CD.

• Segment AM is perpendicular to segment BM.

• Point M is the midpoint of segment AB.

• Line CD is perpendicular to segment AB.

If line CD is the perpendicular bisector of segment AB, what is true about point E?

• Point E is closer to point A.

• Point E is closer to point B.

• Point E is the same distance between points A and B.

• Point E is equidistant from points C and D.

Starting with two marked points, A and B, correctly order the straightedge and compass moves required to construct the triangle ABC in this diagram.

• 1. 1st: Use a compass to create a circle centered at A passing through B.

• 1. Use a compass to create a circle centered at B passing through A.

• 1. Mark a point of intersection between the two circles as C.

• 1. Use a straightedge to create segments AB, AC, and BC.

Which step is necessary to produce the diagram starting with points C and D?

• Construct a circle centered at B.

• Label the intersection points of the circles A and B.

• Draw the line through points C and D.

• Construct a circle centered at A.

Which statement is true about the diagram with centers A and C?

• BC = CD

• AB = BC

• AB = BD

• BD = CD

Which statement is false about the diagram?

• The length AB is equal to the length CD.

• CB + BD > CD

• Point M is the midpoint of segment AB.

• Line CD is perpendicular to segment AB.