Triangle TVW is dilated according to the rule
DO, 3/4 (x,y) (3/4x 3/4y 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 :

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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