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5.9 Similar Figures

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**same size and same shape.**

Congruent Figures same size and same shape.

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Symbol

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Similar Figures same shape but their sizes may be different ~

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similar polygons Corresponding angels are congruent (Have the same measure) Corresponding sides are proportional

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**Examples of Similar Figures**

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**Angles and Sides in Similar Polygons**

∠A ≅ ∠ E ∠B ≅ ∠ F ∠C ≅ ∠ G Sides AB ~ EF AC ~ EG BC ~ FG A ΔABC ~ ΔEFG E B C F G

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**You can find the missing length of a side in a pair of similar figures, by using proportions**

ΔRST ~ ΔUVW R x ft. U 6 ft. S T W V 35 ft. 7 ft. x = 30 feet = x 35

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**Solve for x. Round to the nearest tenth.**

17 in. x 35 in. 15 in. x x = 7.3 inches = 35 17

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**The triangles are similar find the missing length**

X in 10in 10in 4in

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**A rectangular blue tile has a length of 4. 25 inches and a width of 6**

A rectangular blue tile has a length of 4.25 inches and a width of 6.75 inches. A similar red tile has a length of inches. What is the width of the red tile? 4.25 inches 6.75 inches 12.75 inches X inches

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Homework Page 234 (2-12) even

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