Solving For Missing Sides Of Similar Triangles (Post-test)
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This quiz is designed to test your ability to use properties of similar triangles to set up proportions in order to solve for missing sides of similar triangles.
- 1.
These two triangles are similar. Solve for x.
- A.
X = 96
- B.
X = 91
- C.
X = 2.6666666666666
- D.
X = 84.375
Correct Answer
A. X = 96Explanation
When you set up your proportion, you should get:
x/16 = 90/15
You then solve this proportion to find the value of x.Rate this question:
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- 2.
These two triangles are similar. Solve for x.
- A.
X = 26.66666666666666666
- B.
X = 0.6
- C.
X = 19
- D.
X = 15
Correct Answer
D. X = 15Explanation
When you set up your proportion, you should get:
x/3 = 20/4
You then solve the proportion to find the value of x.Rate this question:
-
- 3.
Use the properties of similar triangles to find the height of the tree.
- A.
H = 48 feet
- B.
H = 12 feet
- C.
H = 3/4 feet
- D.
H = 48 inches
Correct Answer
B. H = 12 feetExplanation
When you set up your proportion you should get:
h/3 = 24/6
You then solve the proportion to find the value of h.Rate this question:
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- 4.
Select all of the properties that are ALWAYS true of similar triangles.
- A.
Their angle measures are congruent.
- B.
They have the same shape.
- C.
Their side lengths are proportional.
- D.
They are the same size.
Correct Answer(s)
A. Their angle measures are congruent.
B. They have the same shape.
C. Their side lengths are proportional.Explanation
The definition of similar triangles is triangles that have the same shape but not necessarily the same size. The fact that the triangles have the same shape means that they must have the same angles. Also, the triangles side lengths must be proportional.
Similar triangles can be the same size, but they are not ALWAYS the same size.Rate this question:
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- 5.
- A.
990 feet
- B.
4647.5 feet
- C.
.03636363636 feet
- D.
2138 feet
Correct Answer
A. 990 feetExplanation
When you set up your proportion, you should get:
x/6 = 2145/13
You then solve for x to find the height of the tower.Rate this question:
-
- 6.
These two triangles are similar. Solve for x.
- A.
X = 6.666666666666666
- B.
X = 13
- C.
X = 5.4
- D.
X = 15
Correct Answer
D. X = 15Explanation
When you set up your proportion, you should get:
x/9 = 10/6
You then solve the proportion for x.Rate this question:
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- 7.
These two triangles are similar. Solve for x.
- A.
X = 5.4
- B.
X = 1.6666666666666666
- C.
X = 7
- D.
X = 15
Correct Answer
A. X = 5.4Explanation
When you set up your proportion, you should get:
x/3 = 9/5
You then solve your proportion to get your value for x.Rate this question:
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Current Version
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Mar 21, 2023Quiz Edited by
ProProfs Editorial Team -
Mar 30, 2013Quiz Created by
Cutkdmaster
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