SOLUTION: Given: Trapezoid WXYZ with bases WX and ZY, Rectangle WXAB, WA perpendicular to ZY XB perpendicular ZY , ZA is congruent to YB Prove:Trapezoid WXYZ is isosceles

Question 585406: Given: Trapezoid WXYZ with bases WX and ZY, Rectangle WXAB, WA perpendicular to ZY
XB perpendicular ZY , ZA is congruent to YB
Prove:Trapezoid WXYZ is isosceles
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
It helps to draw a picture, so let's do so

Statement	Reason
1. WA perpendicular to ZY	Given
2. XB perpendicular ZY	Given
3. ZA = YB	Given
4. < ZAW = < YBX	All perpendicular angles equal 90 degrees
5. WA = XB	Opposite sides of a rectangle are equal
6. triangle ZAW = triangle YBX	SAS property
7. ZW = YX	CPCTC
8. trapezoid WXYZ is isosceles	nonparallel sides are congruent

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