Similarity and Dilations
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goodrichd_74646
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• Question 1
30 seconds
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Q. A scale factor of less than one means
that the prime image will be larger than the pre-image.
That the prime image will be the same as the preimage.
That you need to subtract that amount off  of each side.
That the prime image will be a reduction of the preimage.
• Question 2
180 seconds
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Q. What is the value of X?
X=4
X=6
X=3
X=2
• Question 3
120 seconds
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Q. Are the triangles similar?
Yes
No
• Question 4
300 seconds
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Q. Find x
21
27/7
13
18
• Question 5
120 seconds
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Q. How does a dilation change the angles of a polygon?
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.
• Question 6
30 seconds
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Q.

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)

• Question 7
30 seconds
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Q.

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.

$\frac{AB}{JK}=\frac{BC}{KL}$

$\frac{AC}{JK}=\frac{BC}{KL}$

$\frac{BC}{KL}=4$

$\frac{KL}{BC}=4$

$\frac{JL}{AC}=\frac{AB}{JK}$

• Question 8
30 seconds
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Q. If two figures are similar, the corresponding sides are ______________.
equal
congruent
proportional
none of these
• Question 9
180 seconds
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Q.

Complete each proportion.

BC / DM = ? / AD

BC

AC

MD

MC

• Question 10
300 seconds
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Q. The pair of figures is similar. Find the missing side.
x = 9
x = 28
x = 7
x = 63
• Question 11
180 seconds
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Q. Find y.
144
18
72
12
• Question 12
300 seconds
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Q. To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  Find the length of AB to the nearest meter.
10
12
15
18
• Question 13
300 seconds
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Q.

Jackson makes a scale model of a building in DC. The actual height of the building is 52 feet. Jackson's model used a scale in which 1 inch represents 5 feet. What is the height in inches of his model?

10.2

10.4

12

14

• Question 14
300 seconds
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Q. Which proportion is not the same?
a/b=c/d
a/c=b/d
a/d=b/c
b/a=d/c
• Question 15
300 seconds
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Q. The triangles are similar, solve for the question mark.
8
12.5
18
24
• Question 16
30 seconds
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Q.

Complete the following transformation if Triangle ABC is transformed to make similar Triangle DEF.

Translate A to D. Rotate around Point D until D, E, and _____ are co-linear. Dilate by ______ with center D.

Point B, Scale Factor EF/BC

Point B, Scale Factor BC/EF

Point C, Scale Factor EF/BC

Point C, Scale Factor BC/EF

• Question 17
30 seconds
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Q.

Which of the following are always similar? Select all that apply.

Circles

Segments

Isosceles Triangles

Regular Polygons

Rectangles

• Question 18
900 seconds
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Q. What similarity theorem would prove that these triangles are similar?
SAS∼
SSS∼
AA∼
Side Splitter
• Question 19
180 seconds
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Q. How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
AA
SAS
SSS
Not Similar
• Question 20
300 seconds
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Q. Determine whether the triangles are similar.