Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

in the figure below $\triangle psqcong\triangle qrp$. based on the give…

Question

in the figure below $\triangle psqcong\triangle qrp$. based on the given information, which statement must be true? $overline{sb}=overline{pq}$ $overline{sq}=overline{rp}$ $angle psr=angle qsr$ $angle sap=angle bqs$

Explanation:

Step1: Recall property of congruent triangles

If $\triangle PSQ\cong\triangle QRP$, corresponding - sides and corresponding - angles are equal.

Step2: Identify corresponding sides

In congruent triangles $\triangle PSQ$ and $\triangle QRP$, $SQ$ and $RP$ are corresponding sides.

Step3: Determine true statement

Since corresponding sides of congruent triangles are equal, $SQ = RP$.

Answer:

$SQ = RP$