Question

In triangle ABC and PQR three equality relations between some parts are as follows:
AB = QP, ∠B = ∠P and BC = PR
State which of the congruence conditions applies:
A. SAS
B. ASA
C. SSS
D. RHS

Answer 1

Answer:

Hey mate here is your answer......

Step-by-step explanation:

ASA

Answer 2

Answer:

OPTION (A) $SAS$

Explanation:

In triangle $ABC$ and triangle $PQR$ three equality relations between some parts are $AB = QP$, ∠$B$ $=$ ∠$P$ and $BC = PR$.

• Since two of the sides along with the angle in between them are similar to the corresponding sides and the angle in between them, hence, option (A) $SAS$ is correct.
• Since no two different angles and one side at the same time is similar, option (B) $ASA$ is incorrect.
• Since three sides are not similar between the two triangles, hence, option (C) $SSS$ is incorrect.
• Since there is no right angle, hypotenuse, and another side similar between the two triangles, hence, option (D) $RHS$ is incorrect.

Final Answer:

OPTION (A) $SAS$.

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