Unit 1, Lesson 5
Construction Techniques 3: Perpendicular Lines and Angle Bisectors
Geometry
Practice
Problem 1
This diagram is a straightedge and compass construction of a line perpendicular to line \(AB\) passing through point \(C\). Explain why it is helpful to construct points \(D\) and \(A\) to be the same distance from \(C\).
Three circles. Two large congruent circles intersect at point E. Smaller circle, center C, in the intersection of two larger circles. Small circle intersects one circle at Point A and the other circle at Point D. Segment A B passes through C and D. Segment E C is drawn.
Problem 2
This diagram is a straightedge and compass construction.
Select all true statements.
Three circles intersect. Large circle center A. Two congruent small circles with center B and D. Large circle intersects points B and D. Circle center B intersects points E, D and F. Circle center D intersects points E, B and F. Segment A C passes through D, Segment A F passes through E, Segment A B is drawn.