ΔEFG is dilated from the origin at a scale factor of 2 to create ΔE′F′G′. Select the option that completes the statement:

Question

ΔEFG is dilated from the origin at a scale factor of 2 to create ΔE′F′G′.

Select the option that completes the statement:

The triangles' corresponding sides are ________, and their corresponding angles are ________; therefore, the triangles are ________.

1.  congruent; similar; proportional 
2. congruent; proportional; similar 
3. proportional; congruent; similar 
4. proportional; similar; congruent

Answer 1

Try it test taking way by eliminating answer choices.

Since second triangle is made by dilation of the first triangle the sides are obviously not the same. Eliminate (1) and (2). Since sides are not the same, the triangles cannot be congruent; Eliminate (4)

Answer 2

The corresponding sides of ΔE'F'G' are twice as long as the corresponding sides of ΔEFG while the angles remain the same.

So, choice 3 is correct.