Question

please answer this question as soon as possible ​

Answer 1

1. In △APD and △CQB

● AD = BC ( opposite sides of parallelogram are equal)

● BQ = PD ( given )

● ∠ADP = ∠CBQ ( alternate angles )

therefore by SAS rule

△ADP ≅ △CQB

2 .. From CPCT , AP = CQ ⸻➤1.

3 .. In △ AQB and △CPD

● AB = CD ( opposite sides of parallelogram)

● BQ = CD ( given)

● ∠ ABQ = ∠CDP ( alternative angles )

from SAS rule ..

△ABQ ≅ △CDP

△ABQ = △CDP .

4.. AQ = CP ( CPCT ) ⸻➤2.

5.. Therefore, from equation 1 and 2 as opposite sides are equal, so we can say

APCQ is a parallelogram.

hope it helps you..