Identify the corresponding sides and corresponding angles in the following congruent triangles:
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27
Since triangle PQR andXYZ are congruent.
So, the corresponding sides are - (PQ,XY), (PR,XZ) , (QR, YZ) and corresponding angle are - (angle P,X), (Q,Y), (R,Z).
And in triangle PQR and ABC, corresponding sides are - (PQ,AB),(QR,BC) and (PR,AC)
and corresponding angle are - (P,A), (Q,B), (R,C).
So, the corresponding sides are - (PQ,XY), (PR,XZ) , (QR, YZ) and corresponding angle are - (angle P,X), (Q,Y), (R,Z).
And in triangle PQR and ABC, corresponding sides are - (PQ,AB),(QR,BC) and (PR,AC)
and corresponding angle are - (P,A), (Q,B), (R,C).
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16
Solution:
1) From SSS criteria of congruency:
∆QPR is congruent to ∆YXZ
Thus corresponding sides
QP = YX
PR =XZ
QR =YZ
< Q = < Y
< P = < X
< R = < Z
2)From RHS,both triangles ∆ PRQ , ∆ACB
are congruent
Thus corresponding sides
PR = AC
RQ =BC
PQ=AB
< P = < A
< R = < C
< Q = < B
hope it helps you
1) From SSS criteria of congruency:
∆QPR is congruent to ∆YXZ
Thus corresponding sides
QP = YX
PR =XZ
QR =YZ
< Q = < Y
< P = < X
< R = < Z
2)From RHS,both triangles ∆ PRQ , ∆ACB
are congruent
Thus corresponding sides
PR = AC
RQ =BC
PQ=AB
< P = < A
< R = < C
< Q = < B
hope it helps you
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