# Similar Polygons What are similar polygons Two polygons

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Similar Polygons

What are similar polygons? Two polygons are similar if corresponding (matching) angles are congruent and the lengths of corresponding sides are proportional.

Congruent Figures • In order to be congruent, two figures must be the same size and same shape. • ~ =

Similar Figures • Similar figures must be the same shape, but their sizes may be different. • ~

Angles and Sides in Similar Polygons Angles Sides ∠A ≅ ∠ E AB ~ EF ∠B ≅ ∠ F AC ~ EG ∠C ≅ ∠ G BC ~ FG A E B C F ΔABC ~ ΔEFG G

You can find the missing length of a side in a pair of similar figures, by using ΔRST ~ ΔUVW proportions R U x ft. 6 ft. S T 35 ft. 6 x = W V 7 ft. 7 35 x = 30 feet

Solve for x. 40 in. 12 in. 30 in. . x in. x 12 = 30 40 x = 9 inches

Solve for x. Round to the nearest tenth. 12 in. 4 in. 20 in. x in. . 4 12 = x 20 x = 6. 7 inches

Solve for x. x 14 m. 25 m. 7 m. 7 14 = 25 x x = 50 meters

17 in. Solve for x. Round to the nearest tenth. x 35 in. 15 in. 15 35 = x 17 x = 7. 3 inches

Determine the missing sides of the triangle 39 in ? in 33 in 24 in ? in 8 in

Determine the length of the missing side • Two rectangles are similar. The first is 4 in. wide and 15 in. long. The second is 9 in. wide. Find the length of the second rectangle.

Determine the length of the missing side • Two rectangles are similar. One is 5 cm by 12 cm. The longer side of the second rectangle is 8 cm greater than twice the shorter side. Find its length and width.

Similar Figures Which of the following is not a characteristic of similar figures? A. Proportional sides B. Equal angle measurements C. Same shape D. Congruent side lengths

Similar Figures • Are the figures below similar? Explain.

Similar Figures • Are the figures below similar? Explain.

- Antigentest åre
- How to tell if shapes are similar
- Similar images
- If two polygons are similar the corresponding angles are
- Similar polygons
- Definition of similar polygons
- Similar polygons in real life
- Practice 8-2 similar polygons
- 7-2 similar polygons
- Similar pictures
- How to solve for x in similar polygons
- In the diagram triangle tpr
- Ratios in similar polygons
- Example of congruent angles
- 7-2 similar polygons
- Some polygons
- Similar polygons notes