Question

This is a template for a proof using one of the Triangle Congruence Theorems Goal: Prove is congruent to I'm going to do this by proving triangle Congruence Theorem. Statement 1: (I know that...) Statement 2: Statement 3: Therefore, triangle Since and must be congruent. is congruent to triangle Reason 1: (because...) Reason 2: Reason 3: is congruent to triangle by are corresponding parts of congruent triangles, by Congruence Theorem. and​

Answer 1

When proving two triangles congruent using one of the Triangle Congruence Theorems, you need to state the given information, state what you want to prove, and use the congruence theorem to show that the corresponding parts of the triangles are congruent.

Step-by-step explanation:

When proving two triangles congruent using one of the Triangle Congruence Theorems, you need to state the given information, state what you want to prove, and use the congruence theorem to show that the corresponding parts of the triangles are congruent.

Here is an example of how you can structure your proof:

1. Given: State any known information about the triangles.
2. Want to prove: State what you want to prove, such as 'triangle ABC is congruent to triangle DEF.'
3. Proof: Use the congruence theorem (such as SSS, SAS, or ASA) to show that the corresponding parts of the triangles are congruent. Provide reasons for each step of the proof.
4. Conclusion: State that the triangles are congruent based on the congruence theorem and the reasons provided.