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10-6 Similar Figures (page )

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Presentation on theme: "10-6 Similar Figures (page )"— Presentation transcript:

1 10-6 Similar Figures (page 440-443)
Pettit 10-6 Notes 10-6 Similar Figures (page ) Indicators- G5, G6

2 Similar Figures Examples of Similar Figures:
Figures that have the same shape but are not necessarily the same size are similar figures. Examples of Similar Figures:

3 If 2 figures are similar, then:
The corresponding sides (the sides that are in the same place on the opposite figure) are proportional. The corresponding angles (the angles that are in the same place on the opposite figure) are congruent. Take note of the order of the letters when referring to the sides and angles! Similar Triangles B E D F A C Corresponding Sides: Corresponding Angles:

4 Example Find the value of n in the pair of similar figures. n = 35
Z W 4 m 20 m Y X 7 m U n V Write a proportion Let n replace the length of Then substitute. Find the cross-products. Divide to isolate the variable. n = 35 The length of , is 35 m.

5 One more example Find the value of n in the pair of similar figures.
**Take note: sometimes similar figures may not be positioned the same, you will have to match-up the corresponding sides/angles to find the missing value(s).** K F J Write a proportion Let n replace the length of Then substitute. Find the cross-products. Divide to isolate the variable. 5.1 mm 3.6 mm E L M x 7.2mm G H The length of is 10.2 mm.


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