Question

For each set of triangle vertices, find the image after a dilation of the triangle:

(i) J(-8,0), K(-4,4), L(-2,0), k = 0.5
(ii) A(9,9), B(3,3), C(6,0), k = 1/2

Answer 1

To dilate a triangle, multiply the x and y coordinates of each vertex by the scale factor.

Step-by-step explanation:

For the first set of triangle vertices J(-8,0), K(-4,4), and L(-2,0), we need to dilate the triangle by a scale factor of 0.5.

To find the image after dilation, we multiply the x and y coordinates of each vertex by the scale factor.

So, the image of the triangle is J'(-4,0), K'(2,2), and L'(-1,0).

For the second set of triangle vertices A(9,9), B(3,3), and C(6,0), we need to dilate the triangle by a scale factor of 1/2.

Following the same process, the image of the triangle is A'(4.5,4.5), B'(1.5,1.5), and C'(3,0).