Question

In the isosceles triangle PQR, PQ and PR are congruent.X and Y are points on QR such that XQ is congruent to XP and YR is congruent to YP. show the triangles QXP. and RYP are congruent. ​

Answer 1

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Answer 2

We have to show that triangles QXP and RYP are congruent =

• PQ is congruent to PR as given to us
• Therefore, ∠Q = ∠R
• Sides opposite to equal angles are equal therefore, PX is equal to PY
• Hence, XQ is equal to YR ( XQ=PX and YR=YP as given)
• Therefore, the two triangles are congruent according to the SAS Property