Question

4. In the adjoining figure, PS || OR, PO - SR. Prove that QT - RU.

please answer and explain​

Answer 1

${\large{\bold{\rm{\underline{Required \; Solution}}}}}$

Correct question :-

In the given adjoining figure, PS || OR, PQ = SR. Prove that QT = RU.

Given that -:

• ★ PS || OR

• ★ PQ = SR

To prove -:

• ★ QT = RU

Let's prove -:

~ As we are able to see that in this figure of trapizum, inside it a square named PSTU is given & T and U measures 90° and two triangle's named, PQT and SUR. Henceforth,

• In ∆PQT and ∆SUR

★ PQ = SR (Given that)

★ PT = SU (Equal distance #Square)

★ ∠PTQ = ∠SUR (Both 90°)

★ ∆PQT is congruent to ∆SUR (Side Angle Side Property) or (SAS)

★ QT = RU Henceforth, proved..!