Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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The two triangles are similar. Find the measure of the angle.
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1.
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2.
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In the figure,  . Find the distance DE.  a. | 129 mi | c. | 124.1 mi | b. | 120.8 mi | d. | 57.3 mi |
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3.
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A person standing 40 feet from a street light casts a shadow as shown. What is
the height h of the street light? Assume the triangles are similar.  a. | 23 ft | c. | 27 ft | b. | 25 ft | d. | 50 ft |
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Use the map to find the actual distance between the cities.
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4.
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Naples and Miami
a. | 175 mi | c. | 100 mi | b. | 200 mi | d. | 50 mi |
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Find the missing dimension. Use the scale factor 1:12.
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5.
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Item | Model | Actual | | Water Tower | Height: 293 cm | Height: __?__
m | | | |
a. | 3.516 m | c. | 3516 m | b. | 2441.667 m | d. | 35.16 m |
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Find the coordinates of the figure after reflecting in the
y-axis.
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6.
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K(3, –3), L(8, –2), M(5, –6), N(0,
–6)
a. | K'(3, –3), L'(8, –2), M'(5,
–6), N'(0, –6) | b. | K'(–3, –3),
L'(–8, –2), M'(–5, –6), N'(0,
–6) | c. | K'(3, 3), L'(8, 2), M'(5, 6), N'(0,
6) | d. | K'(–3, 3), L'(–8, 2), M'(–5,
6), N'(0, 6) |
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A figure lies entirely in Quadrant II. In which quadrant will the figure lie
after the given clockwise rotation about the origin?
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7.
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180°
a. | Quadrant I | c. | Quadrant II | b. | Quadrant III | d. | Quadrant IV |
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The vertices of a parallelogram are B(–7, 1), C(–9,
5), D(–4, 5), and E(–2, 1). Rotate the parallelogram as described. Find the
coordinates of the image.
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8.
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270° clockwise about the origin
a. | B'(–7, –1), C'(–9, –5),
D'(–4, –5), E'(–2, –1) | b. | B'(–1, –7), C'(–5, –9),
D'(–5, –4), E'(–1, –2) | c. | B'(–1, 7), C'(–5, 9), D'(–5,
4), E'(–1, 2) | d. | B'(1, 7), C'(5, 9),
D'(5, 4), E'(1, 2) |
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Numeric Response
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1.
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The ratio of the corresponding side lengths of two similar city blocks is 16:11.
The perimeter of the larger block is 0.8 mile. What is the perimeter of the smaller
block?
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2.
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The ratio of the side length of Square A to the side length of Square B is
12:10. The side length of Square A is 18 centimeters. What is the perimeter of Square B?
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Short Answer
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The vertices of a parallelogram are B(–7, 1), C(–9,
5), D(–4, 5), and E(–2, 1). Rotate the parallelogram as described. Find the
coordinates of the image.
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1.
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180° clockwise about vertex E
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