Question

Geometry

Is Dn (triangle DEF) = triangle D'E'F' an enlargement or a reduction? What is the scale factor n of the dilation?

Answer 1

A. Enlargement, 1.5

Explanation:

Comparing the two triangles, it would be observed that ΔD'E'F' is larger than ΔDEF. This implies that ΔDEF has been multiplied by a scale factor.

To determine the scale factor used, consider the side DE and D'E' of the two triangles:

scale factor =
`(D'E')/(DE)`

=
`(6)/(4)`

scale factor = 1.5

Therefore, ΔDEF was enlarged to ΔD'E'F' using a scale factor of 1.5. Then the correct option is A.