Subjects geometry

Sas Theorem 0A2B93

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Question: Which of the following figures uses the SAS theorem to show that $\triangle EFG \cong \triangle HIJ$?
1. **Problem Statement:** Identify which figure among W, X, Y, and Z uses the SAS (Side-Angle-Side) theorem to prove that $\triangle EFG$ is congruent to $\triangle HIJ$. 2. **Recall the SAS Theorem:** The SAS theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. 3. **Key Points to Check:** - Two pairs of corresponding sides must be congruent. - The angle between those two sides (the included angle) must be congruent. 4. **Analyze Each Figure:** - Figure W: Check if two sides and the included angle between them are marked congruent. - Figure X: Check the same. - Figure Y: Check the same. - Figure Z: Check the same. 5. **Conclusion:** The figure that shows two pairs of sides and the included angle between them congruent is the one that uses the SAS theorem. Since the problem does not provide the images or markings explicitly, the answer depends on identifying the figure with two sides and the included angle marked congruent between $\triangle EFG$ and $\triangle HIJ$.