Download Which transformation maps the solid figure onto the dashed figure

Geometry - 2013 Sem 1. Final Review (Demo Version)
Read each question carefully.
1)
2)
Which transformation maps the solid figure onto the dashed figure?
A)
rotation about the origin
B)
translation C)
reflection across the x-axis
D)
reflection across the y-axis
Which transformation maps the solid figure onto the dashed figure?
A)
reflection across the x-axis
B)
reflection across the y-axis
C)
rotation about the origin
D)
translation down
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Geometry - 2013 Sem 1. Final Review (Demo Version)
3)
4)
Which transformation maps the solid figure onto the dashed figure?
A)
reflection across the x-axis
B)
reflection across the y-axis
C)
translation to the left
D)
rotation about the origin
A series of rigid motions superimposed Quadrilateral 1 onto Quadrilateral 2. The angle measures of Quadrilateral 1 listed clockwise are 120°, 80°, 100°, and 60°. Which is a possible list of the angle measures of Quadrilateral 2, in clockwise order?
A)
60°, 80°, 100°, 120°
B)
80°, 100°, 120°, 60°
C)
100°, 60°, 80°, 120°
D)
120°, 60°, 100°, 80°
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Geometry - 2013 Sem 1. Final Review (Demo Version)
5)
6)
A series of rigid motions superimposed Quadrilateral 1 onto Quadrilateral 2. The side lengths of Quadrilateral 1 listed clockwise are 4, 5, 6, and 7. Which is a possible list of the side lengths of Quadrilateral 2, in clockwise order?
A)
4, 6, 5, 7
B)
4, 7, 5, 6
C)
6, 7, 4, 5
D)
6, 7, 5, 4
If triangle ABC is rotated 90° clockwise about point C, what are the new coordinates of point A?
A)
(4, 4)
B)
(5, 4)
C)
(4, 3)
D)
(3, 4)
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Geometry - 2013 Sem 1. Final Review (Demo Version)
7)
8)
If triangle ABC is rotated 90° clockwise about point C, what are the new coordinates of point B?
A)
(1, 1)
B)
(1, 3)
C)
(3, 1)
D)
(-1, 1)
If Figure 1 is reflected across the x-axis and then rotated 90° clockwise, which statement is true?
A)
The new figure is congruent to Figure 1.
B)
The new figure's angles are not congruent to Figure 1’s.
C)
The new figure's sides are proportional 2:1 to Figure 1’s.
D)
The area of the new figure is twice as large as that of Figure 1.
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Geometry - 2013 Sem 1. Final Review (Demo Version)
9)
10)
A series of rigid motions superimposed Quadrilateral 1 onto Quadrilateral 2. The angle measures of Quadrilateral 1 listed clockwise are 120°, 120°, 60°, and 60°. Which is NOT a possible list of the angle measures of Quadrilateral 2, in clockwise order?
A)
60°, 60°, 120°, 120°
B)
120°, 60°, 60°, 120°
C)
60°, 120°, 60°, 120°
D)
60°, 120°, 120°, 60°
If triangle ABC is rotated 90° clockwise about point B, what are the new coordinates of point C?
A)
(-1, -3)
B)
(1, -3)
C)
(1, 3)
D)
(-1, 3)
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Geometry - 2013 Sem 1. Final Review (Demo Version)
11)
12)
If triangle ABC is rotated 90° clockwise about point A, what are the new coordinates of point B?
A)
(-5, -1)
B)
(-1, 5)
C)
(-5, 1)
D)
(1, -5)
A series of rigid motions superimposed Quadrilateral 1 onto Quadrilateral 2. The side lengths of Quadrilateral 1 listed clockwise are 7, 7, 8, and 9. Which is a possible list of the side lengths of Quadrilateral 2, in clockwise order?
A)
7, 8, 7, 9
B)
7, 9, 7, 8
C)
8, 7, 9, 7
D)
8, 7, 7, 9
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Geometry - 2013 Sem 1. Final Review (Demo Version)
13)
If Figure 1 is reflected across the y-axis and rotated 90° counterclockwise around point C, which statement is true?
A)
B)
C)
D)
7
Geometry - 2013 Sem 1. Final Review (Demo Version)
14)
15)
If triangle ABC is rotated 90° clockwise around point B, what are the new coordinates of point A?
A)
(-4, -1)
B)
(1, 0)
C)
(2, -1)
D)
(-1, -4)
If triangle ABC is rotated 90° clockwise about point B, what are the new coordinates of point A?
A)
(-3, 3)
B)
(3, 3)
C)
(3, -3)
D)
(-3, -3)
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Geometry - 2013 Sem 1. Final Review (Demo Version)
16)
The triangle below can be subject to reflections, rotations, or translations. With which of the triangles can it coincide after a series of these transformations? Figures are not necessarily drawn to scale.
A)
B)
C)
D)
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Geometry - 2013 Sem 1. Final Review (Demo Version)
17)
A)
38°
B)
52°
C)
64°
D)
76°
A)
38°
B)
52°
C)
58°
D)
64°
18)
11
Geometry - 2013 Sem 1. Final Review (Demo Version)
19)
A)
61°
B)
60°
C)
59°
D)
58°
A)
55°
B)
50°
C)
45°
D)
40°
20) 12
Geometry - 2013 Sem 1. Final Review (Demo Version)
21)
If quadrilateral ABCD is a parallelogram, which statement must be true?
A)
B)
C)
D)
22)
If quadrilateral ABCD is a parallelogram, which statement must be true?
A)
B)
C)
D)
13
Geometry - 2013 Sem 1. Final Review (Demo Version)
23)
Randy is proving that in parallelograms opposite angles are congruent. He is using the fact that when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent. Which pair of statements establishes that there is a pair of opposite congruent angles in the parallelogram?
A)
Angles 3 and 6 are congruent. Angles 5 and 6 are congruent.
B)
Angles 1 and 6 are congruent.
Angles 5 and 7 are congruent.
C)
Angles 2 and 5 are congruent.
Angles 5 and 7 are congruent.
D)
Angles 1 and 6 are congruent.
Angles 6 and 3 are congruent.
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Geometry - 2013 Sem 1. Final Review (Demo Version)
24)
25)
Which of the following could be proven from Figure A?
A)
Angles 1 and 2 are supplementary.
B)
Angles 1 and 3 are supplementary.
C)
Angles 1 and 2 are complementary.
D)
Angles 1 and 3 are complementary.
Which of the following could be proven?
A)
B)
C)
D)
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Geometry - 2013 Sem 1. Final Review (Demo Version)
26)
Which of the following could be proven from Figure 1?
A)
The sum of the measures of angles 2 and 3 is 180°. B)
Angle 2 is congruent to angle 4.
C)
Neither choice A nor choice B.
D)
Both choice A and choice B.
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Geometry - 2013 Sem 1. Final Review (Demo Version)
27)
28)
Which of the following could be proven?
A)
Angle Z and Angle X are right angles.
B)
Angle Z and Angle X are complementary.
C)
Angle Z and Angle X are straight angles.
D)
Nothing can be proven.
Which is true about P1 if it is the image of point P subject to a dilation with the center O and a scale factor k?
A)
For all values of k, P1 is on m.
B)
For k = 1, P1 is on m; for k > 1, P1 is in the shaded half-plane; for 0 < k < 1, P1 is in the non-shaded half-plane.
C)
For k = 1, P1 is on m; for k > 1, P1 is in the non-shaded half-plane; for 0 < k < 1, P1 is in the shaded half-plane.
D)
For all values of k, P1 is on a line parallel to m and removed from m by k units.
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Geometry - 2013 Sem 1. Final Review (Demo Version)
29)
30)
31)
A square has a perimeter of 40 units. If the square is transformed so that its new perimeter is 20 units, what is true?
A)
The new area will be 25% smaller than the original.
B)
The new area will be 50% smaller than the original.
C)
The new area will be 75% smaller than the original.
D)
The new area will be the same as the original.
A trapezoid has a height of 5 units. If the trapezoid is transformed so that its new height is doubled, what is true?
A)
The new area will be 100% larger than the original.
B)
The new area will be 150% larger than the original.
C)
The new area will be 200% larger than the original.
D)
The new area will be the same as the original.
A right triangle has a perimeter of 12 units. If the triangle is transformed so that its new base is doubled, what is true?
A)
The new area will be 50% larger than the original.
B)
The new area will be 75% larger than the original.
C)
The new area will be 100% larger than the original.
D)
The new area will be the same as the original.
18
Geometry - 2013 Sem 1. Final Review (Demo Version)
32)
33)
A right triangle has a perimeter of 24 units. If the triangle is transformed so that its new height is halved, what is true?
A)
The new area will be 25% smaller than the original.
B)
The new area will be 50% smaller than the original.
C)
The new area will be 75% smaller than the original.
D)
The new area will be the same as the original.
In the figure below, which value of x ensures that there are two similar triangles?
A)
5
B)
7
C)
8
D)
There is no such value of x.
19
Geometry - 2013 Sem 1. Final Review (Demo Version)
34)
35)
A 20-foot flagpole is 80 feet away from the school building. A student stands 25 feet away from the building. What is the height of the student?
A)
5.5 feet
B)
6.25 feet
C)
7.25 feet
D)
8.75 feet
What is the value of y?
A)
18
B)
20
C)
22
D)
24
20
Geometry - 2013 Sem 1. Final Review (Demo Version)
36)
37)
If a 5-meter flagpole casts a 10-meter shadow, how tall is a nearby house which is casting a 20-meter shadow?
A)
5 meters
B)
10 meters
C)
15 meters
D)
20 meters
Which triangle was constructed congruent to the given triangle?
A)
B)
C)
D)
21
Geometry - 2013 Sem 1. Final Review (Demo Version)
38)
Which triangle was constructed congruent to the given triangle?
A)
B)
C)
D)
22
Geometry - 2013 Sem 1. Final Review (Demo Version)
39)
Given the diagram below, what is the value of x?
A)
10
B)
11.5
C)
12
D)
12.25
23
Geometry - 2013 Sem 1. Final Review (Demo Version)
40)
Which triangle was constructed congruent to the given triangle?
A)
B)
C)
D)
24
Geometry - 2013 Sem 1. Final Review (Demo Version)
41)
42)
What is the value of y?
A)
10
B)
12
C)
14
D)
16
If a 3-meter flagpole casts a 5-meter shadow, how tall is a nearby house that casts a 25-meter shadow?
A)
10 meters
B)
12 meters
C)
15 meters
D)
20 meters
25
Geometry - 2013 Sem 1. Final Review (Demo Version)
43)
In the figure shown below, triangle TUV is formed by joining the midpoints of the sides of equilateral triangle QRS. Triangle WXY is formed by joining the midpoints of the sides of triangle TUV. If the area of triangle QRS is 80 square inches, what is the area of triangle WXY? A)
5 square inches
B)
10 square inches
C)
15 square inches
D)
20 square inches
26
Geometry - 2013 Sem 1. Final Review (Demo Version)
44)
The diagram shows a front view of an "A-frame" house. Which length, in
feet, represents x?
A)
5
B)
10
C)
15
D)
20
27
Geometry - 2013 Sem 1. Final Review (Demo Version)
45)
A 30-foot flagpole is 66 feet away from the school building. A student stands 12 feet away from the building. What is the height of the student?
A)
5.45 feet
B)
6 feet
C)
6.45 feet
D)
7 feet
28
Geometry - 2013 Sem 1. Final Review (Demo Version)
46)
Which triangle was constructed congruent to the given triangle?
A)
B)
C)
D)
29
Geometry - 2013 Sem 1. Final Review (Demo Version)
47)
48)
Given the diagram below, what is the height of the cactus?
A)
33 feet
B)
32.5 feet
C)
31 feet 4 inches
D)
31 feet 3 inches
What is the value of y?
A)
7.5
B)
10
C)
10.5
D)
12
30
Geometry - 2013 Sem 1. Final Review (Demo Version)
49)
50)
Two cars start at the same point on a straight road and travel 8 miles in opposite directions. Both cars then turn left on a perpendicular road and travel 6 miles.
What is the distance between the two cars?
A)
10 miles
B)
16 miles
C)
18 miles
D)
20 miles
What is the value of y?
A)
10
B)
12
C)
14
D)
16
31
Geometry - 2013 Sem 1. Final Review (Demo Version)
51)
Which triangle was constructed congruent to the given triangle?
A)
B)
C)
D)
32
Geometry - 2013 Sem 1. Final Review (Demo Version)
52)
A flagpole is 55 feet away from the school building. A 5-foot tall student stands 20 feet away from the building. What is the height of the flagpole?
A)
11.5 feet
B)
12.25 feet
C)
13 feet
D)
13.75 feet
33
Geometry - 2013 Sem 1. Final Review (Demo Version)
53)
Which triangle was constructed congruent to the given triangle?
A)
B)
C)
D)
34
Geometry - 2013 Sem 1. Final Review (Demo Version)
54)
55)
What is the value of y?
A)
23.25
B)
36
C)
37
D)
39
Given the diagram below, what is the value of x?
A)
10
B)
12
C)
14
D)
16
35
Geometry - 2013 Sem 1. Final Review (Demo Version)
56)
What reason can be used to prove that the triangles are congruent?
A)
AAS
B)
ASA
C)
SAS
D)
SSS
36
Geometry - 2013 Sem 1. Final Review (Demo Version)
57)
A flagpole is 45 feet away from the school building. A 6-foot tall student stands 15 feet away from the building. What is the height of the flagpole?
A)
14 feet
B)
16 feet
C)
18 feet
D)
20 feet
37
Geometry - 2013 Sem 1. Final Review (Demo Version)
58)
Which triangle was constructed congruent to the given triangle?
A)
B)
C)
D)
38
Geometry - 2013 Sem 1. Final Review (Demo Version)
59)
60)
A movie projector positioned 42 feet from a wall creates an image that is 8 feet wide on the wall. If a screen is placed 5 feet in front of the projector, what will be the width of the image on the screen?
A)
less than 1 foot
B)
between 1 and 2 feet
C)
between 2 and 3 feet
D)
greater than 3 feet
What is the value of y?
A)
22.6
B)
37
C)
40
D)
43
39
Geometry - 2013 Sem 1. Final Review (Demo Version)
61)
What is the value of y?
A)
28.6
B)
37
C)
40
D)
43
40
Geometry - 2013 Sem 1. Final Review (Demo Version)
62)
Which triangle was constructed congruent to the given triangle?
A)
B)
C)
D)
41
Geometry - 2013 Sem 1. Final Review (Demo Version)
63)
64)
What is the value of y?
A)
8.8
B)
16
C)
20
D)
24
What is the value of y?
A)
12
B)
15
C)
20
D)
40
42
Geometry - 2013 Sem 1. Final Review (Demo Version)
65)
Which triangle was constructed congruent to the given triangle?
A)
B)
C)
D)
43
Geometry - 2013 Sem 1. Final Review (Demo Version)
66)
67)
What value of x makes the triangles similar?
A)
30
B)
45
C)
50
D)
60
What is the value of y?
A)
12.8
B)
20
C)
24
D)
26
44
Geometry - 2013 Sem 1. Final Review (Demo Version)
68)
69)
Two cars start at the same point on a straight road and travel 3 miles in opposite directions. Both cars then turn left on a perpendicular road and travel 4 miles.
What is the distance between the two cars?
A)
5 miles
B)
10 miles
C)
14 miles
D)
25 miles
What value of x makes the triangles similar?
A)
5
B)
10
C)
15
D)
30
45
Geometry - 2013 Sem 1. Final Review (Demo Version)
70)
71)
What is the value of y?
A)
25
B)
15
C)
5
D)
2
What is the value of y?
A)
17.25
B)
33
C)
37
D)
39
46