Question

prove that the opposite sides of parallelogram are equal in length.​

Answer 1

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:

Answer 2

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