Question

Triangle ABC is transformed with the center of dilation at the origin.

Pre-image: △ABC with vertices A(−3, 4), B(−1, 12), C(4, −2)

Image: △A'B'C' with vertices A'(−0.6, 0.8), B'(−0.2, 2.4), C'(0.8, −0.4)

What is the scale factor of the dilation that maps the pre-image to the image?



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Answer 1

Just took the test :))

Step-by-step explanation:

Look at the image down below!! ヽ(o＾▽＾o)ノ

Answer 2

The correct for this question is this one: 1:25

Pre-image △ABC has vertices A(−3, 4), B(−1, 12), C(4, −2)
Final Image △A'B'C' has vertices A'(−0.6, 0.8), B'(−0.2, 2.4), C'(0.8, −0.4)

Pre-image has an area of 34 square units
Final Image has an area of 1.36 square units.

Based from the area,
dilation = 34 / 1.36
dilation = 25