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 is -1.2. The length of is p units, the length of is q units, and the length of is r units. The slope of is . The length of is units.

Answer 1

1.2 and 3q

Explanation:

Answer 2

`3p,3q,3r`

Explanation:

Dilation is not a rigid transformation, for it is not an isometry, hence a dilation produces similar and not congruent figures.

If we have to dilate a
`\bigtriangleup ABC` with scale factor of 3, with this centered at its origin,with its sides p, q and r. We'll have
`\bigtriangleup A'B'C'` having 3p,3q, 3r.

The slope in a Dilation is considered carefully when it is not dilated at its center. Well it is. And we're not dilating line segments, then it'll look like this (check below)

`D_3(x,y) A'=3A, B'=3B, C'=3C\\`

So its line segments will be thrice the value of its original triangle as well.