Unit 1, Lesson 3
Construction Techniques 1: Perpendicular Bisectors
Integrated Math 1
Practice
Problem 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.
Two circles intersect. Large circle center A. Smaller circle center C, goes through center A and intersects larger circle at point B. Point D on smaller circle. Segment A D passes through C. Segments A B, C B, and D B are drawn.
Line \(CD\) is perpendicular to segment \(AB\).
Point \(M\) is the midpoint of segment \(AB\).
The length \(AB\) is the equal to the length \(CD\).
Segment \(AM\) is perpendicular to segment \(BM\).
\(CB+BD > CD\).