Subjects geometry

Sas Congruence Fd5D4C

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1. **State the problem:** We need to determine which two triangles are congruent by the SAS (Side-Angle-Side) Theorem and complete the congruence statement. 2. **Recall the SAS Theorem:** Two triangles are congruent by SAS if two sides and the included angle of one triangle are respectively equal to two sides and the included angle of another triangle. 3. **Analyze the given triangles:** - Triangle EDC has side ED and angle D highlighted. - Triangle WVX has side WV and angle X highlighted. - Triangle SQR has side SQ and angle S highlighted. 4. **Check pairs for SAS:** - For SAS, the angle must be between the two sides. - Since only one side and one angle are highlighted per triangle, we assume the second side is the side adjacent to the highlighted angle. 5. **Compare triangles:** - Triangle EDC: side ED and angle D. - Triangle WVX: side WV and angle X. - Triangle SQR: side SQ and angle S. 6. **Assuming the problem implies side-angle-side equality between triangles EDC and WVX (since both have side and angle marked similarly), these two triangles are congruent by SAS. 7. **Write the congruence statement:** $$\triangle EDC \cong \triangle WVX$$ This means triangle EDC is congruent to triangle WVX by the SAS Theorem.