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
congruent; similar; proportional
congruent; proportional; similar
proportional; congruent; similar
proportional; similar; congruent

  proportional; congruent; similar

step-by-step explanation:

dilation changes the scale so that lengths are proportional and angles are unchanged. the appropriate statement is

  the triangles' corresponding sides are proportional, and their corresponding angles are congruent; therefore, the triangles are similar.

the answer is the triangles' corresponding sides are proportional, and their corresponding angles are congruent; therefore, the triangles are similar.

this is because a dilation only changed the side length of the triangle using the common scale factor and did not change the angle measurements.

hope this !

8

step-by-step explanation:

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb