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35 votes
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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User Rhobincu
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2.9k points

2 Answers

26 votes
26 votes

Answer:

The guy above is right, the scale factor of the dilation is C. 0.5.

Hope this helps!

Explanation:

Polygon ABCD is reflected and dilated to give polygon PORS. The coordinates of the-example-1
User Jigar Pancholi
by
2.5k points
5 votes
5 votes

Answer:

  • C. 0.5

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

Polygon ABCD is reflected and dilated to give polygon PORS. The coordinates of the-example-1
User Lorrit
by
2.7k points