Question

Consider the transformation of a ΔABC to produce a ΔDEF. Which sequence of transformations results in triangles similar but not congruent?

A) horizontal reflection, then vertical reflection


B) translation 4 units right, then vertical reflection


C) 180° clockwise rotation, then translation 7 units down


D) translation 5 units up, then dilation with a factor of


1


4

Answer 1

The answer is d

Explanation:

Answer 2

D) translation 5 units up, then dilation with a factor of 1/4

Explanation:

The Geometric Transformation over a triangle that produces a similar triangle an not a congruent one is, the one that makes its sides larger\smaller but maintain its angle measures. Namely, the Dilation.

1) In the example below, we have a pair of isosceles triangle ABC and DEF

2) Translating up 5 units adding 5 units to y in DEF

3) Check it out on the third graph how the triangle DEF is similar to ABC share the same angle measure with different legs size.

4) So it's D