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Given that figure ABCD is a dilation of figure KLMN, find the missing values:
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akposevictor 6 months ago
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The missing values in the diagram given that figure ABCD is a dilation of figure KLMN, are:

AB = 4

LM = 20

∠B = 98.87°

∠N = 141.87°

What is Dilation?

Dilation is a form of transformation whereby a new figure is formed by enlarging or reducing an original figure by a scale factor. After dilation, the corresponding sides of both figures are proportional, while the corresponding angles of both figures are congruent to each other.

Find AB:

AB/KL = DC/NM

Plug in the values

AB/10 = 4/10

AB(10) = 4(10)

AB = 40/10

AB = 4

Find LM:

BC/LM = DC/NM

Plug in the values

8/LM = 4/10

8(10) = 4(LM)

LM = 80/4

LM = 20

∠B = ∠L = 98.87°

∠N = ∠D = 141.87°

Learn more about dilation on:

https://brainacademy.pro/question/3457976

#SPJ1

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