Question

ΔABC is dilated by a scale factor of 3 with the origin as the center of dilation to form ΔA′B′C′. The slope of AB is -1.2. The length of AB is p units, the length of AC is q units, and the length of BC is r units.

The slope of AB is (?). The length of is (?) units.

the slope of AB is?
A. 1.2
B. -1.2
C. -3.6

The length of AC is ?
A. 1/3q
B. 3q
C.-1.2p
D. (p+q+r)

Answer 1

the slope of A'B' is? 1.2

The length of A'C' is ? 3q

Explanation:

When we dilate a triangle and the center of the dilation is at the center of the triangle, the only thing that changes are the coordinates of the summits of the triangle.

The angles remain the same, so do the slope.

So, since the slope of AB is equal to -1.2, the slope of A'B' will also be -1.2.

They say the dilation factor was 3, that means the length of every side was multiplied by 3. So, if the length of AC is q units, the length of A'C' is 3q units.