Question

Would it be
A, B ,C or D

Answer 1

D.
`\angle E \cong \angle E'` statement is true.

Explanation:

Given:

Δ DEF was dilated by a scale factor 3 to create Δ D'E'F'

Solution:

A dilation is a transformation that produces an image that is the same shape as the original, but is of different size.

So, the shape of the triangles DEF and D'E'F' are the same.

Since the shape is similar the angle of the dilated triangle and considered triangle are the same.

A. Segment DF ≅ Segment D'F'

This statement is false as the triangles which are dilated by scale factor 3 cannot be congruent to each other

B.
`3 . m\angle D = m\angle D'`

This statement is false since the shape is similar the angle of the dilated triangle and considered triangle are the same.

C. Segment EF ≅ 3. Segment E'F'

This statement is false as dilation is a transformation that produces an image that is the same shape as the original, but is of different size so it cannot be congruent.

D.
`\angle E = \angle E'`

This statement is True as dilation is a transformation that produces an image that is the same shape as the original,Since the shape is similar the angle of the dilated triangle and considered triangle are the same.

Hence Option D.
`\angle E = \angle E'` is True