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Answer :
Answer: see below
Step-by-step explanation:
If the figures are similar, then their corresponding sides are proportional.
ABCD ~ WXYZ
[tex]\dfrac{AB}{WX} = \dfrac{BC}{XY} = \dfrac{CD}{YZ} = \dfrac{AD}{WZ}[/tex]
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Rewritten by : Barada
Similar figures ABCD and WXYZ will have corresponding sides that are in proportion, represented by the equality of ratios AB/WX = BC/XY = CD/YZ = AD/WZ.
When figures ABCD and WXYZ are similar, it means that all corresponding angles are equal and the sides are in proportion. This concept is a result of the AAA theorem which states that if two triangles have their corresponding angles equal, then the triangles are similar, and thus the ratio of any two corresponding sides must be equal. The proportion that must be true for the figures to be similar could be expressed as AB/WX = BC/XY = CD/YZ = AD/WZ.
This proportion illustrates the relationship between the corresponding sides of the two similar figures, and it shows that each pair of corresponding sides are in the same ratio.
