Question

Triangle ABC has vertices point A(2,1), point B(4,3),, and point C(−2,5). Find the coordinates of A′, B′, and C′ after a dilation with a scale factor of 7 and a center point of dilation at the origin (0,0) (2 points)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the coordinates after a dilation with a scale factor of 7 and a center at the origin, we need to multiply the x and y coordinates of each vertex by the scale factor.

Coordinates of vertex A:
x coordinate: 2 * 7 = 14
y coordinate: 1 * 7 = 7
So, A' is at (14, 7).

Coordinates of vertex B:
x coordinate: 4 * 7 = 28
y coordinate: 3 * 7 = 21
So, B' is at (28, 21).

Coordinates of vertex C:
x coordinate: -2 * 7 = -14
y coordinate: 5 * 7 = 35
So, C' is at (-14, 35).

Therefore, the coordinates after dilation are:
A' = (14, 7)
B' = (28, 21)
C' = (-14, 35)