prove that the opposite sides of parallelogram are equal in length.
Answers
Answer:
A parallelogram is a quadrilateral whose opposite sides are parallel. The opposite angles of a parallelogram are equal. The opposite sides of a parallelogram are equal. The diagonals of a parallelogram bisect each other.
Step-by-step explanation:
We know that ZY || WX and transversal
We know that ZY || WX and transversalWY is intersect the two ll lines.
We know that ZY || WX and transversalWY is intersect the two ll lines.Now, in triangle ZWY and XZW
We know that ZY || WX and transversalWY is intersect the two ll lines.Now, in triangle ZWY and XZWWe know that,
Angle 1 = angle 2 {alternate interior angle}
Angle 3= angle 4 {alternate interior angle}
WY = WY {common side}
thus two ∆ are congurant
by the A.S.A congurancy of ∆
since,
∆ ZWY = ∆ XYW
ZW = XY and ZY = XW
which proves that opposite side of a parallelogram are equal in length