Question

lesson 3 practice problems

1. 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.

a. line cd is perpendicular to segment ab
b. point m is the midpoint of segment ab
c. the length ab is the equal to the length cd.
d. segment am is perpendicular to segment bm
e. cb + bd > cd

Explanation:

Step1: Analyze perpendicular - bisector property

In straightedge - compass construction of perpendicular bisector, line CD is perpendicular to AB and M is mid - point of AB.

Step2: Consider triangle inequality

In triangle CBD, by triangle inequality, \(CB + BD>CD\).

Answer:

A. Line CD is perpendicular to segment AB
B. Point M is the midpoint of segment AB
E. \(CB + BD>CD\)