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Real-World Triangle Problems: Discovering Similarity

Authored by Anthony Clark

English, Mathematics

7th Grade

CCSS covered

Used 1+ times

Real-World Triangle Problems: Discovering Similarity
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

1. A 6-foot tall person casts a shadow of 4 feet. If a nearby tree casts a shadow of 10 feet, how tall is the tree?

8 feet

15 feet

20 feet

12 feet

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

2. Two similar triangles have sides in the ratio of 3:5. If the shorter triangle has a side measuring 9 cm, what is the length of the corresponding side in the larger triangle?

15 cm

20 cm

18 cm

12 cm

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

3. A model of a building is made with a height of 2 meters and a base of 1 meter. If the actual building is 50 meters tall, what is the width of the actual building if the model's width is 0.5 meters?

10 meters

15 meters

8 meters

12.5 meters

Tags

CCSS.7.G.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

4. A ladder leans against a wall, forming a right triangle with the ground. If the ladder is 15 feet long and reaches a height of 12 feet on the wall, how far is the base of the ladder from the wall?

10 feet

8 feet

9 feet

11 feet

Tags

CCSS.8.G.B.8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

5. In a park, two trees are similar in shape. If the smaller tree is 3 meters tall and the larger tree is 5 meters tall, what is the ratio of their heights?

4:3

3:2

5:3

2:1

Tags

CCSS.7.G.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

6. A flagpole casts a shadow of 20 feet long. If a 5-foot tall person casts a shadow of 4 feet, how tall is the flagpole?

25 feet

10 feet

30 feet

15 feet

Tags

CCSS.HSG.SRT.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

7. A triangular garden has a height of 8 feet and a base of 6 feet. If a similar triangular garden has a base of 12 feet, what is its height?

10 feet

16 feet

12 feet

14 feet

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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