Question

Which diagram can be used to prove △ABC ~ △DEC using similarity transformations?

Triangle A B C is rotated about point C and then is dilated to form smaller triangle C E D.
Triangle A B C is reflected across side A C and then is dilated to form smaller triangle C E D.
Triangles A B C and C E D have different angle measures.
Right triangle A B C is shown. Line segment D E is drawn near point C to form triangle D E C.

Answer 1

Given:

           △ABC ~ △DEC

To find:

The diagram shows △ABC ~ △DEC by using similarity transformation

Step-by-step explanation:

When we rotate ΔABC at point C and then is dilated to form a smaller triangle C E D.

∴ According to fig:

∠ A = ∠ D       ... (by fig)

∠C = ∠ V        ... (boh are right angles)

& by angle sum property:

∠ B = ∠ E

∴ by AAA property:

=   △ABC ~ △DEC

∴ Option A is the correct answer.

Please refer following fig: