QuestionJuly 16, 2025

Two shapes are similar if their corresponding angles are congruent and their corresponding sides are proportional. Triangle ABC is similar to triangle DEF. What conjecture can you make about the two triangles? overline (AB)cong overline (DE) angle Acong angle D Triangle ABC is smaller than triangle DEF. Triangle ABC is bigger than triangle DEF.

Two shapes are similar if their corresponding angles are congruent and their corresponding sides are proportional. Triangle ABC is similar to triangle DEF. What conjecture can you make about the two triangles? overline (AB)cong overline (DE) angle Acong angle D Triangle ABC is smaller than triangle DEF. Triangle ABC is bigger than triangle DEF.
Two shapes are similar if their corresponding angles are congruent and their corresponding sides are proportional. Triangle ABC is similar to triangle DEF. What conjecture can you make about the two triangles? overline (AB)cong overline (DE) angle Acong angle D Triangle ABC is smaller than triangle DEF. Triangle ABC is bigger than triangle DEF.

Solution
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Answer

Triangle ABC and triangle DEF have corresponding angles congruent and corresponding sides proportional. Explanation 1. Identify Similarity Properties Since triangles ABC and DEF are similar, their corresponding angles are congruent, and their corresponding sides are proportional. 2. Analyze Given Information \overline{AB} \cong \overline{DE} implies that these two sides are equal in length. \angle A \cong \angle D confirms the angle congruence. 3. Conjecture About Size The similarity of triangles does not inherently determine which triangle is larger or smaller unless specific side lengths are given. Therefore, without additional information about other side lengths, we cannot conclude whether triangle ABC is smaller or bigger than triangle DEF.

Explanation

1. Identify Similarity Properties<br /> Since triangles ABC and DEF are similar, their corresponding angles are congruent, and their corresponding sides are proportional.<br /><br />2. Analyze Given Information<br /> $\overline{AB} \cong \overline{DE}$ implies that these two sides are equal in length. $\angle A \cong \angle D$ confirms the angle congruence.<br /><br />3. Conjecture About Size<br /> The similarity of triangles does not inherently determine which triangle is larger or smaller unless specific side lengths are given. Therefore, without additional information about other side lengths, we cannot conclude whether triangle ABC is smaller or bigger than triangle DEF.
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