 5.9 Similar Figures.

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5.9 Similar Figures

same size and same shape.
Congruent Figures same size and same shape.

Symbol

Similar Figures same shape but their sizes may be different ~

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

Examples of Similar Figures

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

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

Solve for x. Round to the nearest tenth.
17 in. x 35 in. 15 in. x x = 7.3 inches = 35 17

The triangles are similar find the missing length
X in 10in 10in 4in

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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