QuestionFebruary 2, 2026

Select all that apply. The triangles are congruent by SAS. The triangles are congruent by SSS. There is not enough information to determine whether the triangles are congruent by SSS or SAS. angle QMPcong angle PMN overline (NP)simeq overline (cap M)

Select all that apply. The triangles are congruent by SAS. The triangles are congruent by SSS. There is not enough information to determine whether the triangles are congruent by SSS or SAS. angle QMPcong angle PMN overline (NP)simeq overline (cap M)
Select all that apply.
The triangles are congruent by SAS.
The triangles are congruent by SSS.
There is not enough information to determine whether the triangles are congruent by SSS or SAS.
angle QMPcong angle PMN
overline (NP)simeq overline (cap M)

Solution
4.3(329 votes)

Answer

There is not enough information to determine whether the triangles are congruent by SSS or SAS. Explanation 1. Analyze Given Information Check if there are two sides and the included angle congruent for SAS, or three sides for SSS. 2. Evaluate SAS Congruence Given \angle QMP \cong \angle PMN, check if two sides around these angles are congruent. 3. Evaluate SSS Congruence Check if all three sides of the triangles are congruent. 4. Assess Information Sufficiency Determine if the given information is enough to conclude congruence by either method.

Explanation

1. Analyze Given Information<br /> Check if there are two sides and the included angle congruent for SAS, or three sides for SSS.<br />2. Evaluate SAS Congruence<br /> Given $\angle QMP \cong \angle PMN$, check if two sides around these angles are congruent.<br />3. Evaluate SSS Congruence<br /> Check if all three sides of the triangles are congruent.<br />4. Assess Information Sufficiency<br /> Determine if the given information is enough to conclude congruence by either method.
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