Similar Figures

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Similar Figures. SIMILAR TRIANGLES. Similar figures have the same shape, but are a different size. SIMILAR TRIANGLES Corresponding sides of similar figures are proportional. 4". 2". 3". 6". SIMILAR TRIANGLES - PowerPoint PPT Presentation

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SIMILAR TRIANGLESSIMILAR TRIANGLESSimilarSimilar figures have the figures have the same shape, but are a same shape, but are a different size.different size.

SIMILAR TRIANGLESSIMILAR TRIANGLES

Corresponding sides Corresponding sides of of similar figures aresimilar figures are proportional.proportional.

2"2"

4"4"

3"3" 6"6"

SIMILAR TRIANGLESSIMILAR TRIANGLES

Using Using proportionsproportions, we can find , we can find the lengths of missing sidesthe lengths of missing sides of of similar figures.similar figures.

6"6" 12"12"

4"4"??

SIMILAR TRIANGLESSIMILAR TRIANGLES

6"6" 12"12"

4"4"xx

6 6 12124 4

==x x

SIMILAR TRIANGLESSIMILAR TRIANGLES

6"6" 12"12"

4"4"xx

66 12124 4

==x x

x = x = 4848÷÷66 = 8" = 8"

SIMILAR TRIANGLESSIMILAR TRIANGLES

6"6" 12"12"

4"4"??

6 6 4412 12

==x x

SIMILAR TRIANGLESSIMILAR TRIANGLES

6"6" 12"12"

4"4"xx

66 4412 12 ==

x x x = x = 4848÷÷66 = 8" = 8"

SIMILAR RECTANGLESSIMILAR RECTANGLES

7"7" xx

4"4"xx7.5"7.5"

SIMILAR RECTANGLESSIMILAR RECTANGLES

7"7" xx

4"4"xx

7 7 xx4 4

==7.5 7.5

7.5"7.5"

SIMILAR RECTANGLESSIMILAR RECTANGLES

7"7" xx

4"4"xx

7 7 xx4 4

==7.5 7.5

7.5"7.5"

x = 13.125"x = 13.125"

SIMILAR RECTANGLESSIMILAR RECTANGLES

7"7" xx

4"4"xx

7 7 44x x

==7.5 7.5

7.5"7.5"

SIMILAR RECTANGLESSIMILAR RECTANGLES

7"7" xx

4"4"xx

7 7 44x x

==7.5 7.5

7.5"7.5"

x = 13.125"x = 13.125"

SIMILAR RECTANGLESSIMILAR RECTANGLES

5"5"

8"8"xx

7"7"

SIMILAR RECTANGLESSIMILAR RECTANGLES

5"5"

8"8"xx

5 5 887 7

==x x

7"7"

SIMILAR RECTANGLESSIMILAR RECTANGLES

5"5"

8"8"xx

5 5 887 7

==x x

7"7"

x = 11.2"x = 11.2"

SIMILAR RECTANGLESSIMILAR RECTANGLES

5"5"

8"8"xx

5 5 778 8

==x x

7"7"

SIMILAR RECTANGLESSIMILAR RECTANGLES

5"5"

8"8"xx

5 5 778 8

==x x

7"7"

x = 11.2"x = 11.2"

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