which two triangles are congruent by the aas theorem? complete the congruence statement.
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Accepted Answer

# Explanation:
## Step1: Recall AAS Congruence
AAS (Angle - Angle - Side) congruence theorem states that if two angles and a non - included side of one triangle are congruent to the corresponding two angles and non - included side of another triangle, then the two triangles are congruent.

## Step2: Analyze Triangle $ \triangle SQR $ and $ \triangle TVU $
- For $ \triangle SQR $ and $ \triangle TVU $:
    - Angle at $ S $ and angle at $ T $: The marked angles at $ S $ (in $ \triangle SQR $) and $ T $ (in $ \triangle TVU $) are congruent (same marking).
    - Angle at $ R $ and angle at $ V $: The marked angles at $ R $ (in $ \triangle SQR $) and $ V $ (in $ \triangle TVU $) are congruent (same marking).
    - Side: The side with one mark in $ \triangle SQR $ ( $ QR $) and the side with one mark in $ \triangle TVU $ ( $ TU $) are congruent. And this side is a non - included side with respect to the two angles.

So, by AAS congruence criterion, $ \triangle SQR\cong\triangle TVU $

# Answer:
$ \triangle SQR\cong\triangle TVU $

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Question

Explanation:

Step1: Recall AAS Congruence

Step2: Analyze Triangle \( \triangle SQR \) and \( \triangle TVU \)

Answer: