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.

Question

Liberty Russo

Mathematics

29 June, 01:20

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.

+4

Answers (1)

Know the Answer?

Saige Norris · Answer 1

First choice

Step-by-step 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

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.

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.