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Instructions: Determine whether the following polygons are similar.If yes, type 'yes' in the Similar box and type in the similaritystatement and scale factor. If no, type 'None' in the blanks. For thescale factor, please enter a fraction. Use the forward dash (i.e. /) tocreate a fraction (e.g. 1/2 is the same as15B1218GE11LLFN3020M25

Instructions: Determine whether the following polygons are similar.If yes, type 'yes-example-1
User Linor
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1 Answer

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Notice from the figure that two angles of GFE are congruent to two angles of NLM.

It is required to determine if the triangles are similar, if yes, find the scale factor, and state the similarity statement.

Recall the Angle-Angle Similarity (AA~) Theorem:

Hence, by the theorem, the triangles are similar.

The similarity statement from the given corresponding congruent angles is:


\triangle GFE\cong\triangle NLM

Recall that the scale factor is the ratio of lengths of two corresponding sides of similar figures.

Hence, the scale factor is:


User Tamilvanan
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