Question

NOTE: On the bottom right corner of each question, you will see a button that says “Check Answer.” Click this to check your answer before submitting. It will not tell you the correct answer, but it will tell you whether the answer you selected is correct or not. You can use this feature ONCE per question (only for Quizzes and Sample Works). Are the triangles congruent? If so, write a congruence statement and reason why. (1 point) Responses No, the triangles are not congruent. No, the triangles are not congruent. Yes, △ABC≅△DEF by the SAS Congruence Theorem. Yes, △ABC≅△DEF by the SAS Congruence Theorem. Yes, △ABC≅△EFD by the SAS Congruence Theorem. Yes, △ABC≅△EFD by the SAS Congruence Theorem. Yes, △ABC≅△EFD by the SSS Congruence Theorem. Yes, △ABC≅△EFD by the SSS Congruence Theorem. Skip to navigation

Answer 1

To determine if the triangles are congruent, you need to analyze their corresponding sides and angles.

1. Identify Corresponding Sides/Angles: Check if the lengths of two sides and the included angle between them are equal for both triangles (SAS) or if all three sides are equal (SSS).

2. Congruence Statement: If the triangles are congruent, write a congruence statement indicating which triangles are congruent (e.g., △ABC≅△DEF).

3. Reason: Provide the reason for the congruence using the appropriate theorem (SAS, SSS, etc.).

Since I don’t have the specific measurements or angles of triangles ABC and DEF, I can't confirm the answer directly. However, follow the 1 to 3 steps mentioned above to arrive at your conclusion.

If you believe triangles ABC and DEF are congruent based on your observations about sides and angles, select the answer that states they are congruent and provides the correct reasoning. Check your answer using the “Check Answer” feature.