Proofing Problems: Quadrilateral
Types of Quadrilaterals
Explore the shape below. Move points A, B, C, and D to see what happens to the length and angle of the shape.
Q1
ABCD is a parallelogram where [math]AB\parallel CD[/math] and [math]BC\parallel DA[/math]. Prove [math]AB\cong CD[/math] and [math]BC\cong DA[/math].
Q2
Given rhombus ABCD with diagonals intersecting at E. Prove [math]AC\bot BD[/math] .
Q3
Given kite ABCD is with [math]AB\cong AD[/math] and [math]CB\cong CD[/math]. Prove [math]\angle B\cong\angle D[/math] .
Q4
Given square ABCD with side [math]s[/math] and center O. M is the midpoint of CD. Prove [math]OM=\frac{1}{2}s[/math]