Subjects geometry

Triangle Similarity 959Ae2

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1. The problem involves identifying congruent angles and setting up a proportion to show that two triangles are similar. 2. From the given labels, Angle C is congruent to Angle A because corresponding angles in similar triangles are equal. 3. The proportion that can be used to show the triangles are similar is $$\frac{AC}{CE} = \frac{BD}{DE}$$. 4. This proportion comes from the Side-Angle-Side similarity criterion, where the sides around the congruent angles are proportional. 5. Therefore, the correct answers are: - Angle C is congruent to Angle A. - The proportion $$\frac{AC}{CE} = \frac{BD}{DE}$$ can be used to show the triangles are similar. Final answer: Angle C \cong Angle A $$\frac{AC}{CE} = \frac{BD}{DE}$$