Question

ΔABC ≅ ΔDEF by SSS

Answer 1

[AI-generated answer — Explain Bot]

To prove that ΔABC is congruent to ΔDEF using the Side-Side-Side (SSS) congruence criteria, we need to show that all corresponding sides of the triangles are equal in length.

The SSS congruence criteria state that if the lengths of the corresponding sides of two triangles are equal, then the triangles are congruent.

To prove the congruence, you need to follow these steps:

1. Identify the corresponding sides of the triangles. In this case, you have ΔABC and ΔDEF. So, you need to match the sides of ΔABC with the sides of ΔDEF. For example, side AB would correspond to side DE, BC corresponds to EF, and AC corresponds to DF.

2. Measure the lengths of the corresponding sides in both triangles. Use a ruler or any measuring instrument to accurately measure the lengths of the sides.

3. Compare the lengths of the corresponding sides. Check if the lengths of AB and DE are equal, BC and EF are equal, and AC and DF are equal. If all the corresponding sides have equal lengths, then you have demonstrated the SSS congruence.

If all the corresponding sides are indeed equal in length, you can conclude that ΔABC is congruent to ΔDEF by SSS.