Question

In the given figure, L SPR = L QRP and L RSP = L PQR.
Prove that:
(i) PQ = RS
(ii) PS = QR​

Answer 1

Answer:

This is the question for congruency

Step-by-step explanation:

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the I have all the solution for the book

plz mark this answer as a brainialist answer

Answer 2

Step-by-step explanation:

$\text{\large\underline{\green{Given:}}}$

• $\angle$ SPR = $\angle$ QRP
• $\angle$ RSP = $\angle$ PQR

$\text{\large\underline{\purple{To\:find:}}}$

• PQ = RS
• PS = QR

$\text{\large\underline{\pink{Solution:}}}$

Let's prove congruency between $\triangle$ PSR and $\triangle$ RQP.

$\implies$ $\angle$ SRP = $\angle$ QRP [Given]

$\implies$ $\angle$ RSP = $\angle$ PQR [Given]

$\implies$ PR = PR [Common]

$\therefore$ $\triangle$ PSR = $\triangle$ RQP by AAS criteria.

(i) ${\small{\boxed{\sf{PQ\:=\:RS}}}}$ [by CPCT]

(ii) ${\small{\boxed{\sf{PS\:=\:QR}}}}$ [by CPCT]

${\bigstar\:\textsf{CPCT\:is\:corresponding\:parts\:of\:congruent\:triangles}}$

Hope it helped you dear...