Question

When ABC was dialed by a scale factor of 2, centered at the origin, the result was its image A'B'C' shown on the coordinates plane below. The vertices of A'B'C' are A'(-4,4), B'(-4,6), and C'(2,4)

What are the coordinates of the vertices of ABC?

Explain how you determined the coordinates of the vertices of ABC?

Are ABC and A'B'C' congruent to each other, similar to each other, or neither? Explain how you determined your answer​

Answer 1

Explanation:

In dilation, the image and the original are similar, in that they are the same shape but not necessarily the same size. They are not congruent because that requires them to be the same shape and the same size, which they are not (scale factor is 2)

vertices of ABC are A(-2,2), B(-2,3), and C(1,2)

If we multiply by 2 from original to image,

then from image to original we divide by 2