PLEASE HELP ME Triangle UVW is dilated with a scale factor of 1∕3 with the center of dilation at the origin. What are the coordinates of the resulting triangle U′V′W′?

Question options:
A)

U′ (0, 2), V′ (3, 3), W′ (4, 0)

B)

U′ (0, 1), V′ (3, 3), W′ (2, 0)

C)

U′ (0, 1), V′ (2, 2), W′ (2, 0)

D)

U′ (0, 9), V′ (18, 18), W′ (18, 0)

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!