Question

The triangle shown below has vertices A(-12. -10), B(15, -10), and C(10, 5). If the triangle is dilated and the new image of point C lies at (8, 4), where is the resulting image of point B after the dilation?​

Answer 1

Answer: 13,-11

Step-by-step explanation: if it's dilation there's a correlation between the two so I think if you just subtract the c from the c now and get 2,1 and you then subtract that from b you should get your answer

Answer 2

B'(12, -8)

Explanation:

You want to know the image of point B(15, -10) after dilation if the image of point C(10, 5) is C'(8, 4).

Scale factor

The scale factor of the dilation is the ratio of the coordinate values:

C'x/Cx = 8/10 = 4/5

B image

Using this scale factor on the coordinates of B, we find the coordinates of B' to be ...

(4/5)(15, -10) = (12, -8)

The image of point B is B'(12, -8).

<95141404393>