Question

By which congruency criterion, the two triangles in figures are congruent ?

• A. RHS
• B. ASA
• C. SSS
• D. SAS

Answer 1

The correct option is C

SSS

Explanation for the correct option:

Triangle congruency:

SSS congruence criterion

If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent by SSS rule.

In triangle$△PRQand△PSQ$

$$\begin{gathered} PR=PS=a \\ RQ=SQ=b \\ PQ=PQ \end{gathered}$$

$△PRQ\cong △PSQ$ $\left[\mathrm{By}\mathrm{SSS}\mathrm{congruency}\right]$