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).
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!
1 answer