# Rhombus1514

- Author:
- 650529

I constructed my shape by drawing two circles with the same radius with the compass. Then, I connected point A and B to C and D and then connected C and D to created segment CD. AE=EB because CD bisects it, CE=CE because of reflexive, angle AEC and BEC are equal because CD is the perpendicular bisector this makes triangle AEC and BEC congruent because of SAS making AD=BC due to CPCTC. AE=EB because of CPCTC, DE=DE because of reflexive property, and angle AED and BED are equal because CD is the perpendicular bisector making AD=BD. AE=EB due to CPCTC,CE=ED because AB bisects it, and angle AED and BEC are equal because of vertical angles which makes triangles AED and CEB congruent making AD=CB and all the sides equal due to the transitive property. This makes the shape a rhombus.