Answer:
Yes, they are similar.
Explanation:
Part 1)
Yes.
First, ∠D and ∠B are both right angles, so they are congruent.
Next, ∠DCE and ∠BCA are vertical angles. So, their measures are congruent.
Then by Angle-Angle Similarity, we acquire:
Part 2)
The corresponding sides of similar triangles are proportional.
Therefore:
By substitution:
Cross-multiply:
So: