Question

Prove that the triangles are congruent. Also express it in symbolic form

Answer 1

Answer:

Triangle QSP is congruent to Triangle RSP

Step-by-step explanation:

Can be proved by RHS rule

Right angle is proved since angle PSQ and PSR are 90 degrees

Then both the hypotenuse are equal as PQ = 3cm, PR = 3cm so hence, PQ = PR

Then PS is the side which both the triangle share so we get a side tha both the  triangles have common as well

It is therefore proved that both the triangles are congruent

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Answer 2

Answer:

here we get 2 triangles ....those are triangle PQS and triangle PRS

then, PQ = PR [ given ]

angle PSQ = PSR [PS perpendicular to QR]

so, QS =SR

so these triangles are congruent