Question

Triangle ABC with vertices A(2, 4) , B(4, 0) , and C(6, 6) is dilated about the origin to be triangle A′B′C′ .

Which statement is true?



Triangle ABC is dilated by a scale factor or 0.5.


Triangle ABC is dilated by a scale factor or 1.5.


Triangle ABC is dilated by a scale factor or 2.

Answer 1

First choice

Explanation:

first solve for each side of the triangle using slope formula:

y2-y1/x2-x1 ex: (x1, y1) (x2, y2)

this solve for all the lengths. AB, BC, CA

then solve for the area of the triangle:

A=1/2 b*h

A=1/2 2* 1/2

A=1/2 or .5

Answer 2

Triangle ABC is dilated by a scale factor or 1.5.

Explanation:

k12 i did the test