Question

Which statements are true? Select three options. ∠F corresponds to ∠F'. Segment EE' is parallel to segment FF'. The distance from point D' to the origin is One-third the distance of point D to the origin. The measure of ∠E' is One-third the measure of ∠E. △DEF △D'E'F'

Answer 1

I think it's the first, third, and fifth options.

Explanation:

I hope this helps.

Answer 2

The correct options are (1), (3) and (5).

Explanation:

The two triangles are shown below.

The measure of ∠F corresponds to ∠F'.

The distance between the points D and origin is of 9 units.

And the distance between the points D' and origin is 3 units.

Thus, the distance from point D' to the origin is One-third the distance of point D to the origin.

Check for similarity:

`(D'F')/(DF)=(D'E')/(DE)=(F'E')/(FE)=(1)/(3)`

Thus, the △DEF is similar to △D'E'F'.

Thus, the correct options are (1), (3) and (5).