Question

Triangle xYZ with vertices x(0,5),Y(5,10), and Z(15,-5); dilation with scale factor k=(2)/(5)

Answer 1

To find the dilated coordinates of triangle XYZ with a scale factor of 2/5, multiply the x and y coordinates of each vertex by the scale factor.

Step-by-step explanation:

To find the dilated coordinates of triangle XYZ, we multiply the x and y coordinates of each vertex by the scale factor. The scale factor is given as k = 2/5.

For vertex X(0,5), the dilated coordinates would be (0 * 2/5, 5 * 2/5) = (0, 2).

Similarly, for vertex Y(5,10), the dilated coordinates would be (5 * 2/5, 10 * 2/5) = (2, 4).

And for vertex Z(15,-5), the dilated coordinates would be (15 * 2/5, -5 * 2/5) = (6, -2).