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Section 11-3 Perimeters and Areas of Similar Figures.

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Presentation on theme: "Section 11-3 Perimeters and Areas of Similar Figures."— Presentation transcript:

1 Section 11-3 Perimeters and Areas of Similar Figures

2 Recall: TT wo polygons are similar iff corresponding angles are congruent and the lengths of corresponding sides are proportional. TT he ratio of the lengths of two corresponding sides of two similar polygons is called the scale factor.

3 The ratio of the perimeters of two similar polygons is the same as the scale factor.

4 Areas of Similar Polygons Theorem If two polygons are similar with the lengths of corresponding sides in the ratio, then the ratio of their areas is.

5 If you are given the ratio of the areas, take the square root of each to find the scale factor or ratio of perimeters.

6 always, sometimes, or never? 1.Two similar quadrilaterals have the same perimeter. 2.Two squares with the same perimeter are similar. 3.Two regular hexagons are similar. Sometimes Always

7 always, sometimes, or never? 4.Two right triangles with the same area are similar. 5.Two similar pentagons have the same perimeter. 6.Two rectangles with the same area are similar. Sometimes

8 always, sometimes, or never? 7.Two regular decagons are similar. 8.Two regular polygons are similar. Always Sometimes


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