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.

The missing values in the diagram given that figure ABCD is a

dilationof figure KLMN, are:AB = 4

LM = 20

∠B = 98.87°

∠N = 141.87°

## What is Dilation?

Dilationis a form oftransformationwhereby a new figure is formed byenlargingorreducingan original figure by ascale factor. Afterdilation, the corresponding sides of both figures areproportional, while the corresponding angles of both figures arecongruentto 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

dilationon:https://brainacademy.pro/question/3457976

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