Similarity | Geometry

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Similarity

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9th - 10th grade

Mathematics

joysel_pasamonte_74047

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Question 1
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Q. Which of the following is NOT true about similar figures?
answer choices
A) Similar figures always have the same shape.
B) Similar figures always have the same size.
C) Similar figures always have corresponding angles that are equal.
D) Similar figures always have corresponding sides that are proportional.
A) Similar figures always have the same shape.
alternatives
B) Similar figures always have the same size.
C) Similar figures always have corresponding angles that are equal.
D) Similar figures always have corresponding sides that are proportional.
answer explanation
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Question 2
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Q. If two figures are similar, the corresponding sides are ______________.
answer choices
equal
congruent
proportional
none of these
equal
alternatives
congruent
proportional
none of these
answer explanation
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Question 3
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Q.
ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?
answer choices
SP and SR
QS and PT
PS and RS
TP and RQ
SP and SR
alternatives
QS and PT
PS and RS
TP and RQ
answer explanation
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Question 4
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Q. If two figures are similar their angles are______.
answer choices
proportional
congruent
supplementary
complementary
proportional
alternatives
congruent
supplementary
complementary
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Question 5
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Q. Choose the similarity statement for the triangles.
answer choices
ΔMNL ∼ ΔOPQ
ΔNOM ∼ ΔPQL
ΔLMN ∼ ΔPQO
ΔMLN ∼ ΔPQO
ΔMNL ∼ ΔOPQ
alternatives
ΔNOM ∼ ΔPQL
ΔLMN ∼ ΔPQO
ΔMLN ∼ ΔPQO
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Question 6
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Q. What is the similarity statement for the triangle pair?
answer choices
ΔXYZ~ΔNEW
ΔXZY~ΔNWE
ΔZYX~ΔENW
ΔYZX~ΔNWE
ΔXYZ~ΔNEW
alternatives
ΔXZY~ΔNWE
ΔZYX~ΔENW
ΔYZX~ΔNWE
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Question 7
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Q.
What is the corresponding side of GZ?
answer choices
GB
ZP
GR
GP
GB
alternatives
ZP
GR
GP
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Question 8
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Q.
What is the corresponding angle of Z?
answer choices
W
N
E
Y
W
alternatives
N
E
Y
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Question 9
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Q.
If the triangles are similar, what is the common ratio?
answer choices
3/4
4/5
1
Not similar
3/4
alternatives
4/5
1
Not similar
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Question 10
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Q.
What is the measure of angle G?
answer choices
48^o
30^o
102^o
180^o
48o
alternatives
30o
102o
180o
answer explanation
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Question 11
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Q.
What is the scale factor if the two triangles are similar?
answer choices
1/3
2/3
4/3
5/3
1/3
alternatives
2/3
4/3
5/3
answer explanation
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Question 12
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Q.
If the triangles are similar, state how.
answer choices
SAS
AA
SSS
Not similar
SAS
alternatives
AA
SSS
Not similar
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Question 13
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Q. Are these triangles similar?
Known angles in Triangle 1: 40⁰,60⁰
Known angles in Triangle 2: 80⁰,40⁰
answer choices
Yes
No
There is not enough information to decide.
Yes
alternatives
No
There is not enough information to decide.
answer explanation
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Question 14
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Q.
Calculate the value of the scale factor between the 2 triangles
answer choices
2.5
3
3.5
4
2.5
alternatives
3
3.5
4
answer explanation
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Question 15
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Q. The two right triangles below are similar. What is x, the missing side length in triangle DEF?
answer choices
3.75
9.75
10
12
3.75
alternatives
9.75
10
12
answer explanation
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Question 16
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Q. Solve for x. The two figures are similar.
answer choices
x = 6
x = 9
x = 7
x = `0
x = 6
alternatives
x = 9
x = 7
x = `0
answer explanation
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Question 17
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Q. The pair of figures is similar. Find the missing side.
answer choices
x = 12
x = 3
x = 40
x = 4
x = 12
alternatives
x = 3
x = 40
x = 4
answer explanation
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Question 18
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Q.
Calculate the value of A'D'.
answer choices
10
15
20
25
10
alternatives
15
20
25
answer explanation
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Question 19
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Q. What is the height of the Tree?
answer choices
20
15
30
10
20
alternatives
15
30
10
answer explanation
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Question 20
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Q.
Complete the sentence: If two figures are similar, ___________ are congruent and ______________ are proportional.
answer choices
corresponding angles....corresponding sides
corresponding sides...corresponding angles
both a and b
none of the above
corresponding angles....corresponding sides
alternatives
corresponding sides...corresponding angles
both a and b
none of the above
answer explanation
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