 Similarity Quiz
3 years ago
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Practice 25 QuestionsShow answers
• Question 1
300 seconds
Q. The corresponding diagonals of two similar rectangular rooms are in the ratio of 1:5.  What is the ratio of their areas?
1:10
1:25
1:5
5:25
• Question 2
300 seconds Q. To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?
144 feet
72 feet
36 feet
• Question 3
300 seconds Q. Determine whether the triangles are similar(name the postulate or theorem you used).
SSS similar
AA similar
SAS similar
• Question 4
300 seconds Q. Determine whether the triangles are similar or not. If so, state how they are similar.
Yes, by AA Similarity
Yes, by SAS Similarity
Yes, by SSS Similarity
No, not similar
• Question 5
300 seconds Q. Solve for x.
x = 5
x = 3
x = 14
x = 1
• Question 6
300 seconds Q. What is the value of X?
X=4
X=6
X=3
X=2
• Question 7
300 seconds Q. What is the value of X and Y ?
X=2.5 and Y=6.5
X=6.5 and Y=2.5
X=3 and Y=7
X=2 and Y= 5
• Question 8
300 seconds
Q. Are these triangles similar?
Known angles in Triangle 1:  40⁰,60⁰
Known angles in Triangle 2:  60⁰,40⁰
Yes
No
There is not enough information to decide.
• Question 9
300 seconds
Q. Are these triangles similar?
Angles in Triangle 1:  40⁰,60⁰, and 80⁰
Angles in Triangle 2:  40⁰,50⁰, and 90⁰
Yes
No
There is not enough information to decide.
• Question 10
300 seconds Q. What is the height of the Tree?
20
15
30
10
• Question 11
300 seconds Q. Find AE
12.5
18
11.75
13
• Question 12
900 seconds Q. To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?
10
12
15
18
• Question 13
900 seconds Q. What is the value of x?
4
5
3
6
• Question 14
900 seconds Q. Find the value of x
10.5
5
8.5
6
• Question 15
300 seconds
Q. The measures of the angles in a triangle are 53⁰,78⁰, and 49⁰.  A similar triangle is created by using a dilation with a scale factor of 2.  What are the measures of the angles of this triangle?
53⁰,78⁰, and 49⁰
There is not enough information to answer this question.
106⁰,156⁰, and 98⁰
26.5⁰,39⁰, and 24.5⁰
• Question 16
900 seconds
Q. An NBA basketball court (rectangle) is similar to an elementary school basketball court. The sideline of the NBA court  is 94 feet, and the sideline of the elementary court is 84.6 feet. The NBA court has an area of 4700 square feet. Find the area of the elementary court.
4700 square feet
5,802 square feet
5,222 square feet
3807 square feet
• Question 17
300 seconds Q. The pair of figures is similar. Find the missing side.
x = 9
x = 28
x = 7
x = 63
• Question 18
300 seconds Q. Solve for X
7.5
4.8
13.33
5
• Question 19
300 seconds Q. What is the measure of x?
12
15
6
9
• Question 20
300 seconds Q. Solve the proportion.
k=5
k=3.3333333
k=60
k=90
• Question 21
300 seconds Q. Find the height of the tree.
8 ft
12 ft
13 ft
15 ft
• Question 22
300 seconds Q. Solve for f.
6
4
3
8
• Question 23
300 seconds Q. Find the value of x.
x = 4.5
x = 9
x = 30
x = 3
• Question 24
300 seconds
Q. The ratio of the areas of two simialr rectangular baths is 1:16.  What is the side ratio of the baths?
1:4
1:8
1:16
1:256
• Question 25
300 seconds
Q. If the side ratio of two similar triangles is 2 and the smaller of the two triangles has an area of 72 square inches.  What is the area of the larger triangle?