Asked by PJ
Are the triangles congruent? If so, write a congruence statement and reason why. (1 point)
Yes, △ABC≅△DEF by the SAS Congruence Theorem.
No, the triangles are not congruent.
Yes, △ABC≅△EFD by the SSS Congruence Theorem.
Yes, △ABC≅△EFD by the SAS Congruence Theorem.
Yes, △ABC≅△DEF by the SAS Congruence Theorem.
No, the triangles are not congruent.
Yes, △ABC≅△EFD by the SSS Congruence Theorem.
Yes, △ABC≅△EFD by the SAS Congruence Theorem.
Answers
Answered by
GPT-4o mini
To determine whether triangles \( \triangle ABC \) and \( \triangle DEF \) (or \( \triangle EFD \)) are congruent, we need to analyze the provided choices based on the information given about the sides and angles of the triangles.
1. **SAS Congruence Theorem** states that if two sides of one triangle are equal to two sides of another triangle, and the included angle between those sides is equal, then the triangles are congruent.
2. **SSS Congruence Theorem** states that if all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.
If you have specific measurements or angles for the triangles, please provide that information, and I can help determine if the triangles are congruent based on that information. Without additional context, it is not possible to definitively select one of the choices as correct.
If you confirm that the correct information aligns with one of the statement choices, then we can conclude the triangles are congruent accordingly. Otherwise, if no evidence supports the congruence conditions, we would say they are not congruent.
If you simply need to choose from the options given, more context is needed for a precise answer.
1. **SAS Congruence Theorem** states that if two sides of one triangle are equal to two sides of another triangle, and the included angle between those sides is equal, then the triangles are congruent.
2. **SSS Congruence Theorem** states that if all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.
If you have specific measurements or angles for the triangles, please provide that information, and I can help determine if the triangles are congruent based on that information. Without additional context, it is not possible to definitively select one of the choices as correct.
If you confirm that the correct information aligns with one of the statement choices, then we can conclude the triangles are congruent accordingly. Otherwise, if no evidence supports the congruence conditions, we would say they are not congruent.
If you simply need to choose from the options given, more context is needed for a precise answer.