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The table shows the coordinates of the vertices of Triangle DEF and its dilated image Triangle D'E'F' . The center of dilation is the origin. What is the scale factor? How do you know?

The table shows the coordinates of the vertices of Triangle DEF and its dilated image Triangle DEF The center of dilation is the origin What is the scale factor class=

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Answer:

1/2

Explanation:

From the table, the coordinates of D, E, and F are:

[tex]D(2,3),E(6,4)\text{ and F(4,8)}[/tex]

The coordinates of D', E' and F' are:

[tex]D^{\prime}(1,\frac{3}{2}),E^{\prime}(3,2)\text{ and F'(2,4)}[/tex]

Using points D and D', we observe the following:

2 x 1/2 =1

3 x 1/2 =3/2

Multiplication of the points in DEF by 1/2 will give the coordinates of D'E'F', therefore, the scale factor is 1/2.

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