Polygon ABCD is reflected and dilated to give polygon PORS. The coordinates of the preimage are (2, 2), (6,8), (12,8), and (16,

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Polygon ABCD is reflected and dilated to give polygon PORS. The coordinates of the preimage are (2, 2), (6,8), (12,8), and (16,

2). The coordinates
of the image are (11, 15), (9, 12), (6, 12), and (4, 15). What is the scale factor of the dilation?
OA 0.25
OB. 0.33
OC 0.5
OD 0.75
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Mathematics

1 answer:

zubka84 [21] · Answer 1 · 2022-10-26T00:31:27+03:00

Answer:

C. 0.5

Step-by-step explanation:

Plot the coordinates and connect to get the figures.

See attached

Find the length of the corresponding sides and divide to find the scale factor:

d₁ = 12 - 6 = 6 (points with same y- coordinate of 8)
d₂ = 9 - 6 = 3 (points with same y- coordinate of 12)

The scale factor is:

k = d₂ / d₁ = 3/6 = 0.5

Correct choice is C