Question

which two triangles are congruent by the sas theorem? complete the congruence statement.
$\triangle square cong \triangle square$

Explanation:

Step1: Recall SAS Congruence Rule

SAS (Side-Angle-Side) requires two pairs of corresponding sides to be congruent, and the included angle (the angle between the two sides) to be congruent.

Step2: Analyze Each Triangle

• $\triangle UVW$: Has two sides marked congruent, with the included angle at $V$.
• $\triangle SRQ$: Has two sides marked congruent, with the included angle at $Q$.
• $\triangle FGH$: Has two sides marked congruent, but the angle is not the included angle between the marked sides.

Step3: Match Corresponding Parts

For $\triangle UVW$ and $\triangle SRQ$:

• Side $UV \cong$ Side $SQ$ (marked congruent)
• Included $\angle V \cong$ Included $\angle Q$ (marked congruent)
• Side $VW \cong$ Side $QR$ (marked congruent)

This satisfies the SAS Theorem.

Answer:

$\triangle UVW \cong \triangle SQR$