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EXAMPLE 2 Find the scale factor Determine whether the polygons are similar. If they are, write a similarity statement and find the scale factor of ZYXW to FGHJ.

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EXAMPLE 2 Find the scale factor SOLUTION STEP 1 Identify pairs of congruent angles. From the diagram, you can see that Z F, Y G, and X H. Angles W and J are right angles, so W J. So, the corresponding angles are congruent.

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EXAMPLE 2 Find the scale factor SOLUTION STEP 2 Show that corresponding side lengths are proportional. ZY FG 25 20 = 5 4 = YX GH 30 24 = 5 4 = XW HJ 15 12 = = 5 4 WZ JF 20 16 = = 5 4

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EXAMPLE 2 Find the scale factor SOLUTION The ratios are equal, so the corresponding side lengths are proportional. So ZYXW ~ FGHJ. The scale factor of ZYXW to FGHJ is ANSWER 5 4 .

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EXAMPLE 3 Use similar polygons In the diagram, ∆DEF ~ ∆MNP. Find the value of x. ALGEBRA

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**EXAMPLE 3 Use similar polygons SOLUTION**

The triangles are similar, so the corresponding side lengths are proportional. MN DE NP EF = Write proportion. = 12 9 20 x Substitute. 12x = 180 Cross Products Property x = 15 Solve for x.

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GUIDED PRACTICE for Examples 2 and 3 In the diagram, ABCD ~ QRST. 2. What is the scale factor of QRST to ABCD ? 1 2 ANSWER Find the value of x. ANSWER 8

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Geometry 8.3 Similar Polygons. July 2, 2015Geometry 8.3 Similar Polygons2 Goals Identify similar polygons Find the ratio of similarity between similar.

Geometry 8.3 Similar Polygons. July 2, 2015Geometry 8.3 Similar Polygons2 Goals Identify similar polygons Find the ratio of similarity between similar.

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