SIMILAR FIGURES Similar Figures Similar Figures 1 Same

SIMILAR FIGURES

Similar Figures

Similar Figures 1. Same shape, but different size

Similar Figures 1. Same shape, but different size 2. Sides are proportional to corresponding sides

Similar Figures 1. Same shape, but different size 2. Sides are proportional to corresponding sides 3. ~ means “is similar to”

Example 1 A E 9 6 B C x F G 8 Find x

Example 1 A E 9 6 B C x F G 8 Find x Since the two triangles are similar, then the sides are proportional to each other.

Example 1 A E 9 6 B C x F G 8 Find x Remember: Same things – same places!!!

Example 1 A E 9 6 B C x F G 8 Find x

Example 1 A E 9 6 B C x F G 8 Find x Same triangle

Example 1 A E 9 6 B C x F G 8 Find x Same triangle Corresponding sides

Example 1 A E 9 6 B C x F G 8 Find x

Example 1 A E 9 6 B C x F G 8 Find x

Example 1 A E 9 6 B C x F G 8 Find x

Z Example 2 Find LM 32 M L 24 X Y 20 K

Z Example 2 Find LM 32 M L 24 X Y 20 K

Z Example 2 Find LM 32 M L 24 X Y 20 K

Z Example 2 Find LM 32 M L 24 X Y 20 K

Z Example 2 Find LM 32 M L 24 X Y 20 K

Example 3 A tree casts a shadow that is 24 ft long. A 6 ft adult casts a shadow that is 40 in long. How tall is the tree?

Example 3 A tree casts a shadow that is 24 ft long. A 6 ft adult casts a shadow that is 40 in long. How tall is the tree? 1. Draw a picture.

Example 3 A tree casts a shadow that is 24 ft long. A 6 ft adult casts a shadow that is 40 in long. How tall is the tree? h 6 ft 24 ft 40 in

Example 3 A tree casts a shadow that is 24 ft long. A 6 ft adult casts a shadow that is 40 in long. How tall is the tree? h 6 ft 24 ft 40 in

Example 3 A tree casts a shadow that is 24 ft long. A 6 ft adult casts a shadow that is 40 in long. How tall is the tree? h 6 ft 24 ft 40 in The problem with this proportion is that there are different units attached in same spots. We need to convert one of the units.

Example 3 A tree casts a shadow that is 24 ft long. A 6 ft adult casts a shadow that is 40 in long. How tall is the tree? h 6 ft 24 ft 40 in

Example 3 A tree casts a shadow that is 24 ft long. A 6 ft adult casts a shadow that is 40 in long. How tall is the tree? h 6 ft 24 ft 40 in

Example 3 A tree casts a shadow that is 24 ft long. A 6 ft adult casts a shadow that is 40 in long. How tall is the tree? h 6 ft 24 ft 40 in

Example 3 A tree casts a shadow that is 24 ft long. A 6 ft adult casts a shadow that is 40 in long. How tall is the tree? h 6 ft 24 ft 40 in

Example 3 A tree casts a shadow that is 24 ft long. A 6 ft adult casts a shadow that is 40 in long. How tall is the tree? h 6 ft 24 ft 40 in

Example 3 A tree casts a shadow that is 24 ft long. A 6 ft adult casts a shadow that is 40 in long. How tall is the tree? h 6 ft 24 ft 40 in

Example 3 A tree casts a shadow that is 24 ft long. A 6 ft adult casts a shadow that is 40 in long. How tall is the tree? h 6 ft 24 ft 40 in

Example 3 A tree casts a shadow that is 24 ft long. A 6 ft adult casts a shadow that is 40 in long. How tall is the tree? h 6 ft 24 ft 40 in

Scale Drawings

Scale Drawings An enlargement or reduction drawing of an actual object or place.

Scale Drawings An enlargement or reduction drawing of an actual object or place. Similar to the actual (proportional)

Scale Drawings An enlargement or reduction drawing of an actual object or place. Similar to the actual (proportional) Scale: ratio of distance on the drawing to the actual distance

Example 4 A map has a scale of 1 in = 25 mi. The distance between two cities on the map is 4 ½ in. What is the actual distance?

Example 4 A map has a scale of 1 in = 25 mi. The distance between two cities on the map is 4 ½ in. What is the actual distance? This is the first ratio of your proportion.

Example 4 A map has a scale of 1 in = 25 mi. The distance between two cities on the map is 4 ½ in. What is the actual distance?

Example 4 A map has a scale of 1 in = 25 mi. The distance between two cities on the map is 4 ½ in. What is the actual distance?

Example 4 A map has a scale of 1 in = 25 mi. The distance between two cities on the map is 4 ½ in. What is the actual distance?

Example 4 A map has a scale of 1 in = 25 mi. The distance between two cities on the map is 4 ½ in. What is the actual distance?

Example 4 A map has a scale of 1 in = 25 mi. The distance between two cities on the map is 4 ½ in. What is the actual distance?

Example 5 A model train is built at a scale of 1 in: 3 ft. If the engine is 8 ¾ in long, how long is the actual engine?

Example 5 A model train is built at a scale of 1 in: 3 ft. If the engine is 8 ¾ in long, how long is the actual engine?

Example 5 A model train is built at a scale of 1 in: 3 ft. If the engine is 8 ¾ in long, how long is the actual engine?

Example 5 A model train is built at a scale of 1 in: 3 ft. If the engine is 8 ¾ in long, how long is the actual engine?

Example 5 A model train is built at a scale of 1 in: 3 ft. If the engine is 8 ¾ in long, how long is the actual engine?

Example 5 A model train is built at a scale of 1 in: 3 ft. If the engine is 8 ¾ in long, how long is the actual engine?

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