Question

GEOMETRY PLEASE HELP!!!!!!!

If the triangle shown in the diagram is dilated by a scale factor of 1 / 2
What will be the area of the resulting triangle?

A) 1.5 units²
B) 3 units²
C) 6 units²
D) 12 units²

Answer 1

1.5 units^2

A

Explanation:

AB (the base) = 4 - 1 = 3

AC (the height) = 5 - 1 = 4

Area = 1/2 * b * h

Area = 1/2 * 4 * 3

Area = 6 units^2

Now when you dilate it by a factor or 1/2, it means that each dimension is multiplied by 1/2.

So AB becomes 1.5

AC becomes 2

The area of the new triangle = 1/2 * 1.5 * 2 = 1.5

Be careful with this. Be sure that you understand that it is the sides making up the triangle that get cut in 1/2 and not just the area.