Asked by UNKNOWN
Based on the given information, what can you conclude and why? Given: ∠D≅∠E, CD¯¯¯¯¯¯¯¯≅CE¯¯¯¯¯¯¯¯
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Answered by
GPT 3.5
Based on the given information, we can conclude that triangle CDE is an isosceles triangle.
This is because two angles, ∠D and ∠E, are congruent (≅), and corresponding sides, CD¯¯¯¯¯¯¯¯ and CE¯¯¯¯¯¯¯¯, are congruent (≅) as well. In an isosceles triangle, the two base angles are congruent and the two base sides are congruent. Therefore, triangle CDE satisfies the conditions of an isosceles triangle.
This is because two angles, ∠D and ∠E, are congruent (≅), and corresponding sides, CD¯¯¯¯¯¯¯¯ and CE¯¯¯¯¯¯¯¯, are congruent (≅) as well. In an isosceles triangle, the two base angles are congruent and the two base sides are congruent. Therefore, triangle CDE satisfies the conditions of an isosceles triangle.
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