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To prove that triangles AEC and BED are congruent, you can use the ASA (Angle-Side-Angle) congruence criterion.
ASA states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
In this case, you would need to show that:
If you can prove these three conditions, you can conclude that triangles AEC and BED are congruent by the ASA criterion.
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Answer:
To prove that triangles AEC and BED are congruent, you can use the ASA (Angle-Side-Angle) congruence criterion.
ASA states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
In this case, you would need to show that:
1. Angle AEC is congruent to angle BED.
2. Angle ECA is congruent to angle EDB.
3. Side EC is congruent to side ED (the included side).
If you can prove these three conditions, you can conclude that triangles AEC and BED are congruent by the ASA criterion.
Step-by-step explanation:
