Question

if the adjacent angle of a parallelogram are equal then is the parallelogram a rectangle . justify your answer this que is of class 8​

Answer 1

□ ABCD is a parallelogram

consider Δ ACD and Δ ABD

AC = BD .... (given)

AB = DC .... (opposite sides of parallelogram)

AD = AD .... (common side)

∴Δ ACD ≅Δ ABD ( by sss)

∠ BAD = ∠ CDA (cpct)

∠BAD+∠CDA=180°

[Adjacent angles of parallelogram are supplementary]

so ∠ BAD and ∠ CDA are right angles as they are congruent and supplementary.

Therefore, □ ABCD is a rectangle since a

parallelogram with right angle (90°) is a rectangle.

Answer 2

Answer:

It can be either a rectangle or a square as both rectangle and square are parallograms with adjacent angles equal.

Step-by-step explanation:

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