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GRE Math Set 9
, http://www.vstudy.co.kr, [email protected], 02-538-5999, Page
1
Category 9 Lines and Angles
1. In the figure above, the value of y is
(A) 6
(B) 12
(C) 24
(D) 36
(E) 42
2. If each of the two lines 1l and 2l is parallel to line 3l ,
which of the following must be
true?
(A) Lines 1l , 2l , and 3l lie in the same plane.
(B) Lines 1l , 2l , and 3l lie in different planes.
(C) Line 1l is parallel to line 2l .
(D) Line 1l is the same line as line 2l .
(E) Line 1l is the same line as line 3l .
3. In the figure above, what is the value of x ?
(A) 18
(B) 30
(C) 36
(D) 40
(E) 45
answer
answer
answer
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8/14/2019 GRE Math Set 9
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GRE Math Set 9
, http://www.vstudy.co.kr, [email protected], 02-538-5999, Page
2
4. In the figure above, what is the value of x ?
(A) 28
(B) 30
(C) 32
(D) 42
(E) 48
5. Square RSTU shown above is rotated in a plane about its
center in a clockwise direction the
minimum number of degrees necessary for T to be in the position
where S is now shown.
The number of degrees through which RSTU is rotated is
(A) 135
(B) 180
(C) 225
(D) 270
(E) 315
6. In the figure above, if line k and n are parallel, then
=x
(A) 20
(B) 50
(C) 110
(D) 140
(E) 160
answer
answer
answer
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8/14/2019 GRE Math Set 9
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GRE Math Set 9
, http://www.vstudy.co.kr, [email protected], 02-538-5999, Page
3
7. The figure above traces the path of a certain billiard ball
on a rectangular billiard table. If the
ball bounces off the side of the table at the same angle at
which it hits the side, and if 42=w ,
what the value of z ?
(A) 42 (B) 48 (C) 52 (D) 58 (E) 60
8. In the figure above, what is the value of x ?
(A) 20
(B) 30
(C) 40
(D) 50
(E) 70
9. The figure above shows two lines intersecting at the point O
. If the lines are rotated about
O at the same rate and in the directions shown until CDAB ,
through how many degrees
must each line move?(A) 90
(B)2
90
(C)2
90
+
(D)2
90 +
(E)
2
290 +
answer
answer
answer
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8/14/2019 GRE Math Set 9
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GRE Math Set 9
, http://www.vstudy.co.kr, [email protected], 02-538-5999, Page
4
10. The figure above traces the path of a certain billiard ball
on a rectangular billiard table. If
the ball bounces off the side of the table at the same angle at
which it hits the side, and if
42=w , what the value of z ?
(A) 42
(B) 48
(C) 52
(D) 58
(E) 60
11. If each of the two lines 1l and 2l is parallel to line 3l ,
which of the following must be
true?
(A) Lines 1l , 2l , and 3l lie in the same plane.
(B) Lines 1l , 2l , and 3l lie i n different planes.
(C) Line 1l is parallel to line 2l .
(D) Line 1l is the same line as line 2l .
(E) Line 1l is the same line as line 3l .
answer
answer
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8/14/2019 GRE Math Set 9
5/10
GRE Math Set 9
, http://www.vstudy.co.kr, [email protected], 02-538-5999, Page
5
Category 9 Lines and Angles
1. In the figure above, the value of y is
(A) 6
(B) 12
(C) 24
(D) 36
(E) 42
y x.
2x 3x 180 2x + 3x = 180 x= 36
3x + (y+30) = 180(), 2x = y +30 ()
x=36 y = 42.
. (E)
2. If each of the two lines 1l and 2l is parallel to line 3l ,
which of the following must be
true?
(A) Lines 1l , 2l , and 3l lie in the same plane.
(B) Lines1
l ,2
l , and3
l lie in different planes.
(C) Line 1l is parallel to line 2l .
(D) Line 1l is the same line as line 2l .
(E) Line 1l is the same line as line 3l .
1l 2l 3l 1l , 2l , and 3l ,
(plane)(line).
(C)
. (C)
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8/14/2019 GRE Math Set 9
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GRE Math Set 9
, http://www.vstudy.co.kr, [email protected], 02-538-5999, Page
6
3. In the figure above, what is the value of x ?
(A) 18
(B) 30
(C) 36
(D) 40
(E) 45
x 4x y
jx + y =90(),k4x + y = 180() jk x = 30
. (B)
4. In the figure above, what is the value of x ?
(A) 28
(B) 30
(C) 32
(D) 42
(E) 48
( 180). 2x + 84 + x = 180,
x = 32
. (C)
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8/14/2019 GRE Math Set 9
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GRE Math Set 9
, http://www.vstudy.co.kr, [email protected], 02-538-5999, Page
7
5. Square RSTU shown above is rotated in a plane about its
center in a clockwise direction the
minimum number of degrees necessary for T to be in the position
where S is now shown.
The number of degrees through which RSTU is rotated is
(A) 135
(B) 180
(C) 225
(D) 270
(E) 315
RSTU, T S
. T T 360, T U 90
. T S 270.
. (D)
6. In the figure above, if line k and n are parallel, then
=x
(A) 20
(B) 50(C) 110
(D) 140
(E) 160
180 ( 180 )
.
70 + 90 + (180 x) = 180 , x = 160
. (E)
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8/14/2019 GRE Math Set 9
8/10
GRE Math Set 9
, http://www.vstudy.co.kr, [email protected], 02-538-5999, Page
8
7. The figure above traces the path of a certain billiard ball
on a rectangular billiard table. If
the ball bounces off the side of the table at the same angle at
which it hits the side, and if
42=w , what the value of z ?
(A) 42 (B) 48 (C) 52 (D) 58 (E) 60
42=w
z . 42=w y .
w(=42) + y + 90 = 180, y = 48. y=48 48
. z 48
. (B)
8. In the figure above, what is the value of x ?
(A) 20
(B) 30
(C) 40(D) 50
(E) 70
y 30+110+y = 180, y = 40.
x + y(=40) + 100 = 180 x = 40
. (C)
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8/14/2019 GRE Math Set 9
9/10
GRE Math Set 9
, http://www.vstudy.co.kr, [email protected], 02-538-5999, Page
9
9. The figure above shows two lines intersecting at the point O
. If the lines are rotated about
O at the same rate and in the directions shown until CDAB ,
through how many degrees
must each line move?
(A) 90
(B)2
90
(C)2
90 +
(D)2
90 +
(E)2
290 +
CDAB CDo
AB
AB 90 CD. O
o + 90 2
.
(D)
10. The figure above traces the path of a certain billiard ball
on a rectangular billiard table. If
the ball bounces off the side of the table at the same angle at
which it hits the side, and if
42=w , what the value of z ?
(A) 42 (B) 48 (C) 52 (D) 58 (E) 60
.
42=w x = 42 y = (180 (90+42) = 48 z =48
(B)
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8/14/2019 GRE Math Set 9
10/10
GRE Math Set 9
, http://www.vstudy.co.kr, [email protected], 02-538-5999, Page
10
11. If each of the two lines 1l and 2l is parallel to line 3l ,
which of the following must be
true?
(A) Lines 1l
, 2l
, and 3l
lie in the same plane.
(B) Lines 1l , 2l , and 3l lie in different planes.
(C) Line 1l is parallel to line 2l .
(D) Line 1l is the same line as line 2l .
(E) Line 1l is the same line as line 3l .
1l 2l 3l 1l , 2l , and 3l ,
(plane)(line).
(C)
. (C)
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