Question

If pairs of oppostie side of quadrilateral are congruent then the quadrilateral is a parllolegrange solve

Answer 1

Answer:

Opposite Sides Theorem Converse: If both pairs of opposite sides of a quadrilateral are congruent, then the figure is a parallelogram. ... Parallelogram Diagonals Theorem Converse: If the diagonals of a quadrilateral bisect each other, then the figure is a parallelogram.

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Answer 2

Answer:

Step-by-step explanation:

In the fig of ABCD

opposite sites

AB=CD  and AC =BD

Now in ΔACD and Δ ABD

AD is common

AB=CD

AC=BD

ΔACD ≅ Δ ABD

thus ∠DAB=∠ADC

So AB|| CD

and ∠CAD=∠ADB

So AC || BD

THUS THE OPPOSITE SIDES ARE PARALLEL AND EQUAL

SO ABCD IS A PARALLELOGRAM

IS IT NOT PROVED AND WORKED OUT