Question

Graph triangle DEF with vertices D (6,2), E (6,6), and F (10,4) and its image after a dilation centered at the origin with a scale factor of 1/2. Then find the difference between the area of the image and the area of the preimage.

Answer 1

The graph is below.

The area of the pre-images is 8 and the area of the image is 2. The difference is 6
`units^(2)`

Explanation:

Area of the large triangle

a =
`(bxh)/(2)` I am going to choose the vertical line to be the base because I can count the base to be 4 and the height straight up from the base to be 4.

a =
`(4x4)/(2)` = 8

I found the base for the image in the same way

a =
`(2x2)/(2)` 2

Helping in the name of Jesus.