Question

In the given figure PR is a diagonal of the parallelogram PQRS. (i) Is PS = RQ? Why
( ii) Is angle s = Angle q why??​

Answer 1

Step-by-step explanation:

Given that PQRS is a parallelogram.

Hence, PQ∥RS and PS∥QR

We know that, alternate interior angles formed by a line intersecting two parallel lines, are equal.

∴ ∠SRP=∠RPQ (Alternate interior angles)

PR=PR (Common)

∠SPR=∠PRQ (Alternate interior angles)

According to ASA congruency Criterion 

△PQR≅△RSP[Hence proved]

Answer 2

Step-by-step explanation:

Is angle s = Angle q

yes

because opposite angle are congruent