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Mastering Similar Triangles: Real-World Problem Solving

Authored by Anthony Clark

English, Mathematics

7th Grade

CCSS covered

Used 1+ times

Mastering Similar Triangles: Real-World Problem Solving
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A 5-foot tall person casts a shadow of 3 feet. If a tree casts a shadow of 12 feet, how tall is the tree?

15 feet

25 feet

20 feet

10 feet

Tags

CCSS.HSG.SRT.B.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Two similar triangles have sides in the ratio of 2:3. If the shorter triangle has a side measuring 4 cm, what is the length of the corresponding side in the larger triangle?

8 cm

7 cm

6 cm

5 cm

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A model of a building is made using similar triangles. If the model is 2 feet tall and the actual building is 30 feet tall, what is the scale factor of the model to the actual building?

1/10

1/20

1/15

1/5

Tags

CCSS.7.G.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A ladder leans against a wall, forming a right triangle. If the ladder is 10 feet long and reaches 8 feet up the wall, how far is the base of the ladder from the wall?

6 feet

10 feet

8 feet

4 feet

Tags

CCSS.8.G.B.8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a park, two trees are similar in shape. If the smaller tree is 3 meters tall and the larger tree is 7.5 meters tall, what is the ratio of their heights?

3:1

2:1

4:3

5:2

Tags

CCSS.7.G.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A triangular garden is similar to another garden. If the area of the smaller garden is 50 square meters and the area of the larger garden is 200 square meters, what is the ratio of their corresponding sides?

1:3

1:2

2:3

3:4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A flagpole casts a shadow of 15 feet. A nearby building casts a shadow of 45 feet. If the flagpole is 10 feet tall, how tall is the building?

35 feet

30 feet

25 feet

20 feet

Tags

CCSS.HSG.SRT.B.4

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