Question

Question 1
What two transformations need to be perfomed to show that the triangles are congruent?





(2 points)
Responses

Reflection
Reflection

Dilation
Dilation

Rotation
Rotation

Translation
Translation
Question 2
What congruency theorem does this justify?(1 point)
Responses

AAS
AAS

AAA
AAA

ASA
ASA

SSS
SSS

HL
HL
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Answer 1

For Question 1, you need to perform transformations that show the triangles are congruent. The correct response here would typically involve a combination of transformations that position the triangles over one another without changing their size or shape.

Without knowing the specifics about the triangles, a common pair of transformations that can indicate congruence is **Rotation and Translation**. However, if the triangles are mirror images, a **Reflection followed by a Translation** could also apply.

### Question 1 Response
**Rotation and Translation** (if applicable) or **Reflection and Translation** (if applicable).

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For Question 2, the congruency theorem that justifies the congruence of triangles depends on the transformations applied:

- If you used **AAS (Angle-Angle-Side)**, it means two angles and a non-included side are congruent.
- If you used **ASA (Angle-Side-Angle)**, it means two angles and the included side are congruent.
- If you used **SSS (Side-Side-Side)**, it means all three sides are congruent.
- **HL (Hypotenuse-Leg)** would apply specifically to right triangles.
- **AAA (Angle-Angle-Angle)** cannot be used to prove congruence, only similarity.

Without additional specifics, if you've shown that two angles and a side are congruent through the transformations mentioned above, **AAS** or **ASA** would be appropriate.

### Question 2 Response
Please select the appropriate theorem based on the specific information regarding angles and sides of the triangles involved in your question, likely **AAS** or **ASA**.

If you can provide the details of the triangles or the transformations used, I can help pinpoint the exact responses!