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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°
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°
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