find the new triangle points after the triangle pictured undergoes a scale factor of 1/2 and a center of dilation at the origin.

Question

A = (-8, -4)
B = (-2, 8)
C = (10,-6)

A' = ___
B' = ___
C' = ___

Answer 1

To find the new coordinates after a scale factor of 1/2 and a center of dilation at the origin, we can multiply each coordinate by 1/2.

A' = (-8 * 1/2, -4 * 1/2)
= (-4, -2)

B' = (-2 * 1/2, 8 * 1/2)
= (-1, 4)

C' = (10 * 1/2, -6 * 1/2)
= (5, -3)

Therefore, the new coordinates of the triangle after undergoing the scale factor and dilation are:

A' = (-4, -2)
B' = (-1, 4)
C' = (5, -3)

Answer 2

find the new triangle points after the triangle pictured undergoes a scale factor of 2.5 and a center of dilation at the origin.
A = (-2, -2)
B = (0, 0)
C = (2, -4)

A' = ___
B' = ___
C' = ___

Answer 3

To find the new coordinates after a scale factor of 2.5 and a center of dilation at the origin, we can multiply each coordinate by 2.5.

A' = (-2 * 2.5, -2 * 2.5)
= (-5, -5)

B' = (0 * 2.5, 0 * 2.5)
= (0, 0)

C' = (2 * 2.5, -4 * 2.5)
= (5, -10)

Therefore, the new coordinates of the triangle after undergoing the scale factor and dilation are:

A' = (-5, -5)
B' = (0, 0)
C' = (5, -10)