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 ________.

A. congruent; similar; proportional
B. congruent; proportional; similar
C. proportional; congruent; similar
D. proportional; similar; congruent

Answer 1

It is C. proportional; congruent; similar!!!

Explanation:

Answer 2

The correct option is C). proportional; congruent; similar

Explanation:

Theory :

If triangle is dilated from the origin at a scale factor of 2 to create Triangle then, image of triangle and original triangle are similar to each other

Also, for similar triangles, corresponding angles are equal or congruent and corresponding sides are in ratio or scaled

For example : Figure show that triangle ABC is dilated by factor of 3 and centered at (-5,-4)

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

Answer : The triangles' corresponding sides are proportional and their corresponding angles are congruent therefore, the triangles are similar