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Proportions And Similar Shapes
Test Description: Solving proportions including similar shapes and dilations.
Instructions: Answer all questions to get your test result.
1) Solve for x: 3/4 = x/24
A
18
B
24
C
6
D
9
2) Solve for x: 3/8 = x/12
A
12
B
9.5
C
6
D
4.5
3) Solve for x: x/15 = 3/45
A
3
B
7.5
C
1
D
9
4) Solve for x: 5/x = 8/12
A
7.5
B
3.3
C
6
D
9
5) One triangle has side lengths of 6, 9, and 14. A similar triangle has side lengths of 9, x, and 21. If the side lengths are listed in corresponding order, find x.
A
12.5
B
18
C
13.5
D
15
6) Khaled scans a photo that is 5 in. wide by 7 in. long into his computer. If he scales the length down to to 3.5 in., how wide should the similar photo be?
A
2.5 in.
B
10
C
3.5 in.
D
6
7) Mutsuko drew an 8.5 inch wide by 11 inch tall picture that will be turned into a 34 inch wide poster. How tall will the poster be?
A
26.3 in.
B
2.75 in.
C
32 in.
D
44 in.
8) The vertex of a triangle is at (-4, 8). Dilate the ordered pair with a scale factor of 1/2.
A
(-8, 16)
B
(4, -4)
C
(-2, 4)
D
(-1, 2)
9) The vertex of a rectangle is at (4, 3). Dilate the ordered pair with a scale factor 2.
A
(2, 1.5)
B
(2, -6)
C
(8, 6)
D
(6, 5)
10) The vertex of a pentagon is at (4, -3). Dilate the ordered pair with a scale factor of 2.5.
A
(6, -4.5)
B
(10, -7.5)
C
(8, -6)
D
(2, -1.5)
*select an answer for all questions
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