Questions: Would you use SSS or SAS to prove the triangles congruent? if there is not enough information to prove the triangles by SSS or SAS, write "not enough information".

Would you use SSS or SAS to prove the triangles congruent? if there is not enough information to prove the triangles by SSS or SAS, write "not enough information".

Transcript text: Would you use SSS or SAS to prove the triangles congruent? if there is not enough information to prove the triangles by SSS or SAS, write "not enough information".

Solution

Solution Steps

Step 1: Analyze the given information

Triangles $\triangle FZG$ and $\triangle QRG$ have two corresponding sides that are congruent ($ZG \cong RG$ and $FG \cong QG$) and one corresponding congruent angle ($\angle Z \cong \angle Q$).

Step 2: Determine the appropriate congruence postulate

We are given two pairs of congruent sides and one pair of congruent angles. The congruent angles are between the two congruent sides. This is the Side-Angle-Side (SAS) postulate.

Final Answer: The triangles can be proven congruent using SAS.

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