50 POINTS!!!!
Answer the questions by drawing on the coordinate plane below.

(a) Draw the image of ∆ABC under the dilation with scale factor 3 and the origin as the center of dilation. Label the image ∆A'B'C'. Make sure to include the coordinates of A’, B’, and C’.

(b) Draw the image of ∆DEF under the dilation with scale factor -1/2 and the origin as the center of dilation. Label the image ∆D'E'F'. Make sure to include the coordinates of D’, E’, and F’.

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joaobezerra joaobezerra · Answer 1 · 2022-09-23T14:08:50+02:00

Using dilation rules, the dilated triangle is given at the end of the answer. The coordinates of the vertices are as follows:

A'(-6,6), B'(-3,0), C'(3,6).

To dilate a figure by a factor of a, each coordinate of each vertex of the image is multiplied by a, that is, the following rule is applied:

(x,y) -> (ax, ay).

The coordinates of the vertices of ABC are given as follows:

A(-2,2), B(-1,0), C(1,2).

After a dilation with a scale factor of 3, the coordinates of the vertices of A'B'C' will be given as follows:

A'(-6,6), B'(-3,0), C'(3,6).

These coordinates are derived multiplying the coordinates of A, B and C by 3.

The image of the triangle is given at the graph at the end of the answer.

For the image of triangle DEF, each of the coordinates of D, E and F will be multiplied by -1/2 to generate the dilated triangle.

More can be learned about dilations at https://brainly.com/question/3457976

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