# 11.3 Perimeters and Area of Similar Figures - PowerPoint PPT Presentation

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11.3 Perimeters and Area of Similar Figures. Similar Polygons. Remembering Similar Polygons. Similar polygons have all the Angles congruent and the Sides have the same ratios. (like these three houses). Remember this Theorem.

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11.3 Perimeters and Area of Similar Figures

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## 11.3 Perimeters and Area of Similar Figures

Similar Polygons

### Remembering Similar Polygons

Similar polygons have all the Angles congruent and the Sides have the same ratios. (like these three houses)

### Remember this Theorem

If two polygons are similar (equal angles and corresponding sides in ratios), then the perimeters ratio is the same as the scale factor.

Perimeters are 24:16

same ratio as 3:2 for the sides

### Theorem

If two polygons are similar (equal angles and corresponding sides in ratios), then the Area ratio is the same as the scale factor squared. (in the regular hexagons)

### Find the Area and Perimeter

The given figures are similar

How would you find the area?

### Find the Area and Perimeter

The given figures are similar

### Find the Area and Perimeter

The given figures are similar

### Find the Area and Perimeter

The given figures are similar