In triangle ABC and PQR shown below, AB=PQ, BC=QR,CB and RQ are extended to X and Y respectively, and angle ABX= angle PQY. Show that triangle ABC is congruent to Triangle PQR
Answers
In ΔABC and ΔPQR
AB=PQ
And BC=QR
CB And RQ extended to X and Y
∠ABX=∠PQY
∠ABC=180
o
−∠ABX=180
o
∠PQY
∠PQR=180
o
−∠PQY=∠ABC
We get in both triangles
AB=PQ
BC=QR
And ∠ABC=∠PQR
Then both triangle are congruent
i.e. ΔABC=ΔPQR
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SIMILAR QUESTIONS
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State True or False:
In △ABC and △PQR, AB=PQ,BC=QR and CB and RQ are extended to X and Y respectively and ∠ABX=∠PQY then △ABC≅△PQR.
Easy
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>
Without drawing exact triangles, state, giving reasons, whether the given pairs of triangle are congruent or not :
In ΔABC and ΔPQR;AB=QR,AC=PRand∠B=∠R.
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