1. Similar Triangles

2. What does similar mean? Similar—the same shapes, but different sizes (may need to be flipped or turned) 4 ft 8ft 12 ft 3ft 6 ft

3. To find the missing side of a triangle: 1)Find corresponding sides of each triangle that you know the measurements for. 2)Find the measurement of the side that corresponds with the missing side. 3)Set up a proportion and solve for the variable. 12 ft 3 ft 16 ftx A B C D E F X=4 The missing side measures 4 ft.

4. Find the missing side s:

5. Find the length of side EF: 6.5

6. Find the length of the missing side:

7. The lengths of each line segment are: AB = 5 CA= 6 BD= 10 CE= 12 DE= 24 Find the length of BC Note: Figures are not drawn to scale.

8. 5 in 3 in 1.8 in x in Find the missing side:

9. BD= 8 DA= 20 AC= x EC= 10 EB= 4 DE= 6

10. Word Problems A tower casts a shadow of 64 feet. A 6-foot tall pole near the tower casts a shadow 8 feet long. How tall is the tower?

11. A flag pole casts a shadow 3 meters long. A woman near the pole casts a shadow 0.75 meters long. The woman is 1.5 meters tall. How tall is the flag pole?

12. A magnolia tree measures 25 feet tall. The sun casts a shadow of the tree that measures 42 feet long. A small dogwood tree nearby casts a shadow of 20 feet. What is the height of the dogwood tree?

13. A building casts a 103-foot shadow at the same time that a 32-foot flagpole casts as 34.5-foot shadow. How tall is the building? (Round your answer to the nearest tenth.)

14. Michelle wants to determine the height of a flag pole outside of her school. She places a meter stick next to the flag pole and measures the shadow of the meter stick and flag pole. If the meter stick has a shadow of 140 cm and the flag pole has a shadow of 37.8 meters, how tall is the flag pole? *Hint: 1 meter=100 cm

15. Find the missing side: 60.2 x 17.2 7 5 2

16. A 6 ft tall tent standing next to a cardboard box casts a 9 ft shadow. If the cardboard box casts a shadow that is 6 ft long then how tall is it?

17. A tree 24 feet tall casts a shadow 12 feet long. Brad is 6 feet tall. How long is Brad's shadow

18. A 40-foot flagpole casts a 25-foot shadow. Find the shadow cast by a nearby building 200 feet tall.

19. A tower casts a shadow 7 m long. A vertical stick casts a shadow 0.6 m long. If the stick is 1.2 m high, how high is the tower?

20. A girl 160 cm tall, stands 360 cm from a lamp post at night. Her shadow from the light is 90 cm long. How high is the lamp post? x 90 cm 360 cm 160 cm

21. The lengths of each line segment are: AB = 4 in CA= 6 in BD= 3 in CE= 4.5 in BC= 5 in Find the length of DE Note: Figures are not drawn to scale.

22. BONUS QUESTION!!! A tree with a height of 4m casts a shadow 15 m long on the ground. How high is another tree that casts a shadow which is 2,000 cm long? Hint: 1 m = 100 cm