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astra-53
6 days ago
8

Triangle ABC was dilated and translated to form similar triangle A'B'C'. On a coordinate plane, 2 triangles are shown. Triangle

A B C has points (0, 2), (2, 2), and (2, 0). Triangle A prime B prime C prime has points (negative 4, negative 1), (1, negative 1), and (1, negative 6). What is the scale factor of the dilation?

Mathematics
1 answer:
lawyer [9.2K]6 days ago
7 0

Answer:

The scale factor is measured to be 2.5.

Step-by-step explanation:

The triangles are depicted below.

In triangle ΔABC,

the side lengths are AB = 2 units, BC = 2 units

In triangle ΔA'B'C',

the side lengths are A'B' = 5 units, B'C' = 5 units.

The formula for the scale factor in a dilation is given by:

Scale factor = \frac{\textrm{New length}}{\textrm{Old length}}=\frac{A'B'}{AB}=\frac{B'C'}{BC}=\frac{5}{2}=2.5

Thus, the scale factor is 2.5.

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