Finding Heights: Calculate Side Lengths in Similar Triangles

Quiz
•
English, Mathematics
•
7th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
9 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A 5-foot tall person casts a shadow of 3 feet. If a nearby tree casts a shadow of 12 feet, how tall is the tree?
20 feet
15 feet
25 feet
10 feet
Tags
CCSS.HSG.SRT.B.4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Two similar triangles have side lengths in the ratio of 2:3. If the shorter triangle has a side length of 8 cm, what is the corresponding side length in the larger triangle?
12 cm
14 cm
16 cm
10 cm
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a park, a 4-foot tall statue casts a shadow of 6 feet. If a nearby lamp post casts a shadow of 15 feet, how tall is the lamp post?
8 feet
12 feet
10 feet
14 feet
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Two similar triangles have a ratio of 1:4. If one side of the smaller triangle is 5 cm, what is the length of the corresponding side in the larger triangle?
20 cm
15 cm
10 cm
25 cm
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A 10-foot tall flagpole casts a shadow of 5 feet. If a nearby building casts a shadow of 20 feet, how tall is the building?
15 feet
10 feet
40 feet
25 feet
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A triangle has sides measuring 6 cm, 8 cm, and 10 cm. A similar triangle has a side measuring 12 cm. What is the length of the corresponding side that measures 8 cm in the larger triangle?
14 cm
18 cm
16 cm
10 cm
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a triangle, if one angle measures 30 degrees and the corresponding angle in a similar triangle measures 30 degrees, what can you conclude about the triangles?
The triangles are similar.
The triangles are not similar.
The triangles are congruent.
The triangles have different angles.
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A 3-foot tall child casts a shadow of 2 feet. If a tree casts a shadow of 10 feet, how tall is the tree?
5 feet
8 feet
15 feet
12 feet
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
9.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Two similar triangles have a side length ratio of 5:7. If the shorter triangle has a side measuring 15 cm, what is the length of the corresponding side in the larger triangle?
18 cm
21 cm
25 cm
30 cm
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