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38 questions
Which of the following is NOT preserved by a size change?
angle measure
betweenness
collinearity
distance
If the triangles are similar, what is the value of X?
x = 2
x = 3
x = 6
x = 7
All corresponding sides are congruent in similar figures.
True
False
The pair of figures are similar. Find the missing side.
x = 9
x = 28
x = 63
x = 7
Two spheres have a ratio of similitude of 1/3. The smaller sphere has a surface area of 16 ft2. Find the surface area of the larger sphere.
48 ft2
144 ft2
432 ft2
32 ft2
Rectangle A has an area of 20 cm and Rectangle B has an area of 180. The two rectangles are similar. What is the ratio of similitude(k)?
9
3
2
1/2
Suppose AB = 4. After a dilation, A'B' = 10. What is the magnitude (ratio of similitude) for the dilation?
5/2
10
4
2/5
The points X = (-3, 10) and Y = (2, -9) are transformed by S3. Find the coordinates of their images.
X' = (-6, 20) and Y' = (6, -27)
X' = (-9, 30) and Y' = (6, -27)
X' = (-9, 30) and Y' = (4, -18)
X' = (-6, 20) and Y' = (4, -18)
Two triangles are similar. One has a height of 14 in and the other has a height of 6 in. The larger triangle has an area of 56 in2. Find the area of the smaller triangle.
10.29 in2
304.89 in2
24 in2
130.67 in2
Two cylinders have a ratio of similitude of 2/5. Find the ratio of their volumes.
2:5
8:125
4:25
1:1
A photo measures 3" x 5". It is enlarged so that the larger dimension becomes 16". Find the new shorter dimension.
44.4"
5.8"
26.7"
9.6"
If the scale factor(magnitude) is greater than one, the new figure will be
a reduction
an enlargement
a scale
not proportional
If the scale factor(magnitude) is less than one, the new figure will be
an enlargement
a reduction
a scale factor
What is the magnitude (scale factor) from MNOP to ABCD?
2/3
3/2
2
3
Find missing side given the similar figures.
1/5
5
7
1/7
A figure has a vertices W(-2,4), and X(1,4. Find the coordinates of the figure after a dilation with a magnitude 2.
W(-4,83), X(2,8)
W(-4,8), X(2,8)
Enlargement or reduction? Find the magnitude (ratio of similitude)!
It's a reduction; the scale factor is 2.
It's an enlargement; the scale factor is 2.
It's an enlargement; the scale factor is 1/2.
It's a reduction; the scale factor is 1/2.
Then Henry Ford Museum is Dearborn, Michigan hosts a theater with one of the world's largest screens, which is 60 ft by 84 ft. If a classroom projection screen were changed to be in direct proportion with the screen at the Henry Form Museum, the dimensions woudl be 5 ft X _____ft.
3.6 feet
29 feet
12 feet
7 feet
If the ratio of sides is 4:7, then the ratio of perimeters is...
4:7
8:14
16:49
64:343
If the magnitude of the size transformation is 5/6, then the ratio of areas is...
5:6
10:12
25:36
125:216
Hamburger meat sells for $6 for every 3 pounds. If Lily buys 10 pounds of hamburger meat, how much will she pay?
$30
$20
$60
$10
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