Question

Triangle TVW is dilated according to the rule
DO,e48668012ce9d90c2321d911cd5e2575.png(x,y)(three-fourths x, three-fourths y) to create the image triangle T'V'W', which is not shown.

On a coordinate plane, triangle T V W has points (negative 4, 8), (0, 4), and (4, 4).

What are the coordinates of the endpoints of the segment T'V'?

T'(-3, 6) and V'(0, 3)
T'(-3, 6) and V'(0, 1)
T'(-1, 2) and V'(0, 3)
T'(-1, 2) and V'(0, 1)

Answer 1

Dilation about the origin with scale factor 3/4 multiplies each coordinate by 3/4.

T' = (3/4·(-4), 3/4·8) = (-3, 6)
V' = (3/4·0, 3/4·4) = (0, 3)

So T'(-3, 6) and V'(0, 3).