Similarity Applications
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered
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12 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which triangle is similar to the above triangle ?
A
B
C
D
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
∠A corresponds with which angle in triangle DEF?
∠D
∠E
∠F
None; the triangles are not similar
Tags
CCSS.HSG.SRT.A.2
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
All angles in similar figures are congruent.
True
False
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which angle corresponds with ∠X?
∠N
∠W
∠E
∠Y
Tags
CCSS.HSG.SRT.A.2
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A wall stands 4 feet tall and casts a shadow on the ground that is 6 feet long. A tree casts a shadow that is 24 feet long.
Determine the height of the tree.
0.0625 ft
36 ft
16 ft
1 ft
Answer explanation
The height of the tree can be calculated using the ratio of the wall's height to its shadow length. Therefore, the tree's height is (4/6) * 24 = 16 ft.
Tags
CCSS.HSG.SRT.B.5
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
△ABC ∼ △FGH, AB = 24, AC = 16, CB = 10, and FH = 12. Find the length of FG.
18
20
24
16
Answer explanation
Since △ABC ∼ △FGH, the corresponding sides are proportional. Using the ratios of the sides, FG = (24/16) * 12 = 18. Therefore, the length of FG is 18.
Tags
CCSS.HSG.SRT.A.2
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Triangle S and triangle T are similar. The base of triangle S measures 0.6 in. with a height of 0.8 in. If the base of triangle T measures 3.9 in., what is the height?
5.2 in.
3.7 in
1.9 in
2.3 in
Answer explanation
Since triangles S and T are similar, their corresponding sides are proportional. Using the ratio of base to height for triangle S, we can find the height of triangle T: 0.6/0.8 = 3.9/x. Solving for x gives x = 5.2 in.
Tags
CCSS.HSG.SRT.A.2
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