without drawing a triangle state the correspondence between the sides and the angles of the following Triangles in a triangle pqr congruent to triangle ABC
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∆PQR congruent to ∆ABC
By c.p.c.t
angle P = angle A
angle Q = angle B
angle R = angle C
Also,
PQ = AB
QR = BC
PR = AC
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The corresponding sides and angles are PQ=AB, QR=BC, PR=AC and ∠P=∠A, ∠Q=∠B, ∠R=∠C.
Given:
ΔPQR≅ΔABC
To find:
The corresponding sides and angles
Solution:
We know that the given two triangles are congruent.
So, all the corresponding parts are also going to be congruent.
The corresponding sides are as follows-
PQ=AB
QR=BC
PR=AC
Similarly, the corresponding angles are as follows-
∠P=∠A
∠Q=∠B
∠R=∠C
Therefore, the corresponding sides and angles are PQ=AB, QR=BC, PR=AC and ∠P=∠A, ∠Q=∠B, and ∠R=∠C.
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