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
$$\frac{AC}{CE} = \frac{BD}{DE}$$
Triangle Similarity 959Ae2
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