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8.1-8.4 Quest
By Kattie Castineyra
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Last updated over 1 year ago
15 questions
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Use the following diagram to answer problems 1 - 3.
Question 1
1.
Which similarity statement best represents the similar triangles above?
∆TRS ∼ ∆YZX
∆TRS ∼ ∆YXZ
∆TRS ∼ ∆ZXY
∆TRS ∼ ∆XZY
∆SRT ∼ ∆ZXY
Question 2
2.
Determine the scale factor of the similar triangles above.
1.1
2
Question 3
3.
Which side is corresonding and proportional to segment ZY in the similar triangles above.
segment YX
segment ZX
segment RS
segment TR
segment TS
Question 4
4.
4. If the two rectangles are similar and the area of the smaller rectangle is 7.5 in
2
., find the area of the bigger rectangle.
2.5 in
2
0.83 in
2
67.5 in
2
22.5 in
2
30 in
2
Question 5
5.
Which theorem can be used to determine if the triangles are similar?
ASA
SSS
AA
AAS
They are not similar.
Question 6
6.
In the diagram, triangle ABE is similar to triangle DBC. Find the value of x.
30
15
5.4
6.7
45.6
Question 7
7.
Which theorem can be used to show ∆XZW ∼ ∆YZX?
AA
SSS
ASA
These triangles are not similar.
AAS
Question 8
8.
Find the length of AB in the diagram.
12
21
15.4
8.3
42
Question 9
9.
Given the triangles are similar. Find the value of
x
.
11.5
63
5
9
10
Question 10
10.
A rectangular dog run is 6 feet wide. If the width to length scale factor is 3 to 7, then how long is the dog run?
12 ft.
7 ft.
10 ft.
14 ft.
15 ft.
Question 11
11.
In the diagram, determine the value of x.
visibility
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Question 12
12.
In the diagram segment PQ and SR are parallel, determine the value of x.
visibility
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Question 13
13.
In the diagram, determine the value of x.
visibility
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Question 14
14.
In the diagram, the trapezoids are similar figures. The perimeter of trapezoid
ABCD
is 60 units. Find the perimeter of trapezoid
EFGH
.
visibility
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Question 15
15.
In the diagram, the trapezoids are similar figures. The area of trapezoid
ABCD
is 162 units
2
. Find the area of trapezoid
EFGH
.
visibility
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