Question

ABC HAS A VERTICES. A(-2,10), B(4,8),C(2,4). determine the coordinates of A',B',AND C' HAS UNDERGONE THE DESCRIBED TRANSFORMATION. A DILATION WITH THE SCALE FACTOR OF3 AND A CENTER OF DILATION AT THE ORIGIN.​

Answer 1

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Answer 2

A'(-6,30)

B'(12,24)

C'(6,12)

Explanation:

By definition, dilation is a tranformation in which the the image and the pre-image have the same shapes but differente sizes.

You know that:

- The vertices of ABC are: A(-2,10), B(4,8),C(2,4).

- The scale factor is 3.

- The center of dilation is at the origin.

By definition, if the scale factor is greater than 1, then the image is an enlargement.

Therefore, you must multiply each original vertex by 3:

(x,y)→(3x,3y)

Then the coordinates A',B' and C' are:

A'→
`(-2(3), 10(3))=(-6,30)`

B'→
`(4(3), 8(3))=(12,24)`

C'→
`(2(3), 4(3))=(6,12)`