Dilations and Similar Triangles | Mathematics - Quizizz

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Dilations and Similar Triangles

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9th - 12th grade

Mathematics

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Question 1
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Q. A dilation always produces a similar figure. Similar figures have the same ______ but different ______.
answer choices
measure; shapes
sizes; shapes
value; measures
shape; sizes
measure; shapes
alternatives
sizes; shapes
value; measures
shape; sizes
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Question 2
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Q.
Which must be true of a scale factor of a dilation if the image is smaller that the pre-image?
answer choices
The scale factor is positive
The scale factor is greater than 1
The scale factor is between 0 and 1
The scale factor is negative
<p>The scale factor is positive</p>
alternatives
<p>The scale factor is greater than 1</p>
<p>The scale factor is between 0 and 1</p>
<p>The scale factor is negative</p>
answer explanation
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Question 3
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Q. How does a dilation change the angles of a polygon?
answer choices
It changes by the scale factor.
Dilations do not change the angles.
It is impossible to answer this question. The angles change unpredictably.
The angles all change to larger angles.
It changes by the scale factor.
alternatives
Dilations do not change the angles.
It is impossible to answer this question. The angles change unpredictably.
The angles all change to larger angles.
answer explanation
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Question 4
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Q. State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
answer choices
(5,3)
(20,12)
(-20,-12)
(-5,-3)
(5,3)
alternatives
(20,12)
(-20,-12)
(-5,-3)
answer explanation
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Question 5
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Q. Choose the correct scale factor:
answer choices
2
3
1/3
1/2
2
alternatives
3
1/3
1/2
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Question 6
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Q.
Figure D´E´F´G´ is a dilation with center (0, 0) of figure DEFG. What is the scale factor?
answer
four
4
four
alternatives
4
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Question 7
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Q.
Rectangle ABCD is dilated by a scale factor of 1/2 with the center at B. What are the coordinates of point D?
answer choices
(6,4)
(3,2)
(4,7)
(12,8)
<p>(6,4)</p>
alternatives
<p>(3,2)</p>
<p>(4,7)</p>
<p>(12,8)</p>
answer explanation
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Question 8
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Q.
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
answer choices
AA
SSS
SAS
Not similar
<p>AA</p>
alternatives
<p>SSS</p>
<p>SAS </p>
<p>Not similar</p>
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Question 9
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Q.
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
answer choices
AA
SSS
SAS
no similar
<p>AA</p>
alternatives
<p>SSS</p>
<p>SAS</p>
<p>no similar</p>
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Question 10
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Q.
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
answer choices
SSS
AA
SAS
not similar
<p>SSS</p>
alternatives
<p>AA</p>
<p>SAS</p>
<p>not similar</p>
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Question 11
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Q.
Are the triangles similar?
answer choices
Yes
No
<p>Yes</p>
alternatives
<p>No</p>
answer explanation
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Question 12
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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?
answer choices
144 feet
72 feet
36 feet
144 feet
alternatives
72 feet
36 feet
answer explanation
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Question 13
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Q.
Rajesh is making pennants in preparation for a school soccer game. He wants the pennants to be similar triangles. Which of these triangles could he use for the pennants?
answer choices
QRS and TVW
QRS and XYZ
TVW and JKL
TVW and XYZ
<p>QRS and TVW</p>
alternatives
<p>QRS and XYZ</p>
<p>TVW and JKL</p>
<p>TVW and XYZ </p>
answer explanation
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Question 14
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Q.
Find the value of x, and use it to find KM.
answer choices
x = 10, KM = 25
x = 11, KM = 28
x = 13.3 KM = 34.9
x = 4.3, KM = 8
<p>x = 10, <em>KM</em> = 25</p>
alternatives
<p>x = 11, <em>KM</em> = 28</p>
<p>x = 13.3 <em>KM</em> = 34.9</p>
<p>x = 4.3, <em>KM</em> = 8</p>
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Question 15
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Q. Find side length X.
answer choices
22.5
10
9
7.5
22.5
alternatives
10
9
7.5
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