Unit 1, Lesson 2
Constructing Patterns
Integrated Math 1
Practice
Problem 1
This diagram was created by starting with points \(A\) and \(B\) and using only a straightedge and compass to construct the rest. All steps of the construction are visible. Describe precisely the straightedge and compass moves required to construct the line \(CD\) in this diagram.
Problem 2
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 segment \(AB\).
Two congruent circles, each passing through the center of the other at centers A and B. A vertical line segment is drawn through the circle’s intersection at points C and D. A horizontal line segment passes through a point on the left side of circle A labeled E and centers A and B. Radii A C, A D, B C and B D and chords E C and E D are drawn.