9th
-
10th
grade

Mathematics

47%

accuracy

125

plays

Tiffany Smith

5 years

Mathematics

9th -

10thgrade

Dilations & Similarity Practice Test

Tiffany Smith

125
plays

10 questions

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1. Multiple Choice
15 minutes
1 pt
Given that $\Delta ABC\sim\Delta FED$ , find the value of x.
x = 9
x = 3.9
x = - 0.26
x = 9.95
2. Multiple Choice
15 minutes
1 pt
Let $\Delta XYZ$ be the dilated image of $\Delta ABC$ with a scale factor of k = 3. Which of the following is the correct center of dilation?
(0, 0)
(4, 1)
(-5, 5)
(1, 4)
3. Multiple Choice
15 minutes
1 pt
Which of the following must be true in order for $\Delta BCD\sim\Delta RST$ ?
a = 12 b = 8
a = 24 b = 16
a = 6, b = 4
a = 11, b = 13
4. Multiple Choice
15 minutes
1 pt
Let triangle EFG be a mapped image, dilated about the origin, from triangle JKL with a scale factor k=4 with J(2,2), K(3,4), L(1,0). Which of the following are the coordinates for E?
(12, 16)
(8, 8)
(4, 4)
(4, 0)
5. Multiple Choice
15 minutes
1 pt
Let $\Delta A'B'C'$ be a dilation of $\Delta ABC$ with a scale factor of k= 1/2 and a center of dilation at (-4,1). Which of the following coordinates are vertices of $\Delta A'B'C'$ ? [Circle all that apply.]
(-3, 2)
(-2, 3)
(-0.5, 0.5)
(-2, 0.5) (-0.5, 0.5)
(-2, -1)
6. Multiple Choice
15 minutes
1 pt
Given that $\Delta MNL$ and $\Delta UVL$ are similar, solve for x.
x = -14
x = -9
x = -19.67
x = 7
7. Multiple Choice
15 minutes
1 pt
Mr. Murphy designed a new logo for the NHS math team. Part of the logo includes a pair of similar triangles as shown in the figure below.
The center of dilation for these triangles must be one of the vertices of the outside triangle.
The center of dilation for these triangles must be one of the vertices of the inside triangle.
The center of dilation for these triangles must be in the interior of the two triangles.
The center of dilation for these triangles must be exterior to the two triangles.
8. Multiple Choice
15 minutes
1 pt
Given $\Delta ABC$ is a dilated image of $\Delta JKL$ with a scale factor of 4, which of the following proportions are true? Select all that apply.
$\frac{AB}{JK}=\frac{BC}{KL}$
$\frac{AC}{JK}=\frac{BC}{KL}$
$\frac{BC}{KL}=4$
$\frac{KL}{BC}=4$
$\frac{JL}{AC}=\frac{AB}{JK}$
9. Multiple Choice
15 minutes
1 pt
Let $\Delta DEF$ be dilated by a scale factor of ½ to form the image $\Delta RST$ . Let RS be 12 inches long. How long is DE?
12 inches
24 inches
6 inches
The length of DE cannot be determined.
10. Multiple Choice
15 minutes
1 pt
If line segment AB is dilated about center P by a scale factor of ½ to form A’B’, which statement(s) is/are true? Choose all that apply.
AB and A’B’ are parallel.
A’B’ is twice as long as AB.
$\angle ABP\cong\angle BAP$ because they are corresponding angles on parallel lines.
$\frac{AP}{A'P}=\frac{1}{2}$
The endpoints of A’B’ are ½ the distance to P as the endpoints of AB.
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