Side Length Quotients in Similar Triangles

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Investigating Side Length Quotients in Similar Triangles.

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Finding the Side Lengths of Similar Triangles.

Triangle ABC  is similar to triangles  DEF, GHI, and JKL. The scale factors for the dilations that show triangle ABC is similar to each triangle are in the table.

Find the side lengths of triangles DEF, GHI, and JKL . Record them in the table.

For all four triangles, find the quotient of the triangle side lengths and record it in the table. What do you notice about the quotients?

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Finding the Unknown Side Lengths of Similar Triangles.

Triangles ABC, EFD, and GHI are all similar. The side lengths of the triangles all have the same units. Find the unknown side lengths.

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Triangles ABC and DEF are similar.

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These two triangles are similar. What are the values of a and b? Note: the two figures are not drawn to scale.

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