Answer:
(a) T'(-3, 6) and V'(0, 3)
Step-by-step explanation:
You want the coordinates of T'V' after segment TV is dilated by a factor of 3/4 about the origin. Points are T(-4, 8) and V(0, 4).
Dilation
The coordinates of the dilated segment can be found using the given transformation:
(x, y) ⇒ (3/4x, 3/4y)
T(-4, 8) ⇒ T'(3/4(-4), 3/4(8)) = T'(-3, 6)
V(0, 4) ⇒ V'(3/4(0), 3/4(4)) = V'(0, 3)
The coordinates of segment T'V' are T'(-3, 6) and V'(0, 3).
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