Download RGeo Ch 3 Regents Review

Regents Geometry Chapter 3 Review
Date:
Name:
1.
!
!
!
Transversal EF intersects AB and CD, as shown in the diagram
below.
3.
In the accompanying diagram, line n is parallel to line m, line t
is a transversal, and mO 1 = 24.
What does x equal, in degrees?
A.
24
B.
66
C.
114
D. 156
!
!
Which statement could always be used to prove AB k CD?
A.
O2 = O4
B.
O7 = O8
C.
O 3 and O 6 are supplementary
4.
Line n intersects lines l and m, forming the angles shown in the
diagram below.
D. O 1 and O 5 are supplementary
2.
In the accompanying gure, what is one pair of alternate interior
angles?
Which value of x would prove l k m?
A.
5.
A.
O 1 and O 2
B.
O 4 and O 5
C.
O 4 and O 6
D. O 6 and O 8
2.5
B.
4.5
C.
D. 8.75
The equation of line k is y = 31 x 2. The equation of line m is
2x + 6y = 18. Lines k and m are
A.
parallel
B.
perpendicular
C.
the same line
D. neither parallel nor perpendicular
page 1
6.25
6.
When two parallel lines are cut by a transversal, which angles
are not always congruent?
A.
a pair of alternate interior angles
B.
a pair of alternate exterior angles
C.
two interior angles on the same side of the transversal
13.
Which graph represents the equation x = 2?
A.
B.
C.
D.
D. two corresponding angles
7.
What is the slope of the line that passes through the
points ( 5; 4) and (15; 4)?
2
5
A.
8.
0
5
2
C.
D. unde ned
What is the slope of the line determined by points (5; 2) and
(0; 1)?
5
3
A.
9.
B.
B.
5
3
3
5
C.
D.
14.
3
5
4
3
B.
3
4
3
4
C.
D.
What is the slope of the line y + 6x = 3 ?
A.
6
B.
3
C.
3
2
B.
C.
x = 3y
2
D.
y = 3x + 6
2x = 3y + 1
3x = y
B.
x+y=3
C.
y=3
16.
D. x = 3
The slope of the graph of the equation x = 3 is
A.
1
B.
0
C.
3
Which is an equation of the line that passes through the point
(5; 2) and has a slope of 3?
A.
y = 3x
13
C.
y = 3x + 13
B.
y = 3x
13
D. y = 3x + 13
D. 6
Which is an equation of a line whose slope is 0?
A.
12.
y = 3x
4
3
15.
11.
A.
What is the slope of the line represented by the equation
4x + 3y = 12?
A.
10.
What is an equation of the straight line whose slope is 3 and
that passes through point ( 2; 0)?
Which statement is false about the line whose equation is
y = 2x 5?
A.
Its slope is
2.
B.
It is parallel to the line whose equation is y = 2x + 5.
C.
Its y-intercept is
5.
D. It is perpendicular to the line whose equation is y = 12 x
5.
D. unde ned
page 2
Regents Geometry Chapter 3 Review
17.
The line 3x
2y = 12 has
3
2
23.
A.
a slope of
B.
a slope of
C.
a slope of 3 and a y-intercept of
D. a slope of
and a y-intercept of
3
2
6
19.
2
3 and a y-intercept of
B.
2
B.
1
5
C.
5
3
D. 5
2
6
What is the slope of the line perpendicular to the line represented
by the equation 2x + 4y = 12?
A.
3
5
A.
and a y-intercept of 6
24.
18.
What is the slope of a line perpendicular to the graph of the
equation 5x 3y = 2?
1
2
C.
D.
1
2
25.
A transversal intersects two lines. Which condition would always
make the two lines parallel?
A.
Vertical angles are congruent.
B.
Alternate interior angles are congruent.
C.
Corresponding angles are supplementary.
Which equation represents a line that is parallel to the line
whose equation is 3x 2y = 7?
A.
y=
C.
y=
3
x+5
2
3
x
2
5
B.
y=
D. y =
2
x+4
3
2
x
3
4
2
x + 5. What is an equation of
3
the line that is perpendicular to the given line and that passes
through the point (4; 2)?
The equation of a line is y =
A.
y=
C.
y=
2
x
3
2
3
3
x+7
2
B.
y=
D. y =
3
x
2
4
3
x+8
2
D. Same-side interior angles are complementary.
20.
26.
Which statement describes the lines whose equations are
y = 13 x + 12 and 6y = 2x + 6?
A.
They are segments.
B.
They are perpendicular to each other.
C.
They intersect each other.
The graph of the equation y = 13 x + 2 is perpendicular to the
graph of the equation
A.
y = 13 x + 5
B.
C.
y = 3x + 5
D. y = 3x + 2
3y = x + 2
D. They are parallel to each other.
27.
21.
What is the slope of a line parallel to the line whose equation is
y = 5x + 4?
4
5
A.
5
4
B.
C.
5
If line ` is perpendicular to line m and the slope of line ` is
unde ned, what is the slope of line m ?
A.
1
B.
1
2
C.
0
2
3x
A.
y=
C.
y = 23 x
y=
2
3x
+5
B.
8
D. y = 32 x
3
5
D. 4
28.
22.
What is the equation of a line passing through the point (6; 1)
and parallel to the line whose equation is 3x = 2y + 4?
D.
1
page 3
What is an equation of the line that passes through the points
(1; 3) and (8; 5) ?
A.
y + 1 = 72 (x + 3)
C.
y
1 = 27 (x + 3)
5 = 27 (x
8)
D. y + 5 = 27 (x
8)
B.
y
Regents Geometry Chapter 3 Review
29.
30.
31.
! ! !
In the accompanying diagram, AB k CD, EF is a transversal, and
mO 1 = 40. Find mO 2.
32.
!
!
In the accompanying diagram, parallel lines AB and CD are
!
intersected by GH at E and F, respectively. If mO BEF = 5x 10
and mO CFE = 4x + 20, nd x.
33.
In the accompanying diagram, line ` is parallel to line m and
line t is a transversal. If mO1 = 2x + 20 and mO2 = 4x + 10,
what is the number of degrees in O3?
34.
In the accompanying diagram, transversal t intersects parallel
lines a and b, mO 1 = 4x + 10, and mO 2 = 14x 30. Find the
value of x.
35.
!
!
In the accompanying diagram, parallel lines AB and CD are
!
intersected by transversal EF at G and H respectively. If
mO CHG = x + 20 and mO DHG = 3x, nd the value of x.
!
!
!
In the accompanying diagram, AB k CD, EFGH is a transversal,
mO AFG = x, and mO CGF = 3x 20. Find the value of x.
In the accompanying diagram, line k is parallel to line n,
and line ` is a transversal that intersects lines k and n. If
mO 1 = x + 25 and mO 2 = 5x 25, nd x.
page 4
Regents Geometry Chapter 3 Review
36.
Find the slope of a line that passes through points ( 6; 8) and
(2; 4).
37.
What is the slope of the line that passes through the points
whose coordinates are ( 1; 4) and (1; 5)?
38.
39.
40.
!
!
!
If MA ? TH and the slope of MA is
41.
What is the slope of a line parallel to the line whose equation is
y = 25 x 3?
A line having a slope of 34 passes through the point ( 8; 4).
Write the equation of this line in slope-intercept form.
42.
Find an equation of the line passing through the point (5; 4) and
parallel to the line whose equation is 2x + y = 3.
Write an equation of the line whose slope is 2 and whose
y-intercept is 3.
43.
Find an equation of the line passing through the point (6; 5) and
perpendicular to the line whose equation is 2y + 3x = 6.
page 5
2
7,
!
what is the slope of TH?
Regents Geometry Chapter 3 Review
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Regents Geometry Chapter 3 Review
10/21/2014
1.
Answer:
C
21.
Answer:
C
2.
Answer:
B
22.
Answer:
C
3.
Answer:
D
23.
Answer:
A
4.
Answer:
B
24.
Answer:
C
5.
Answer:
A
25.
Answer:
D
6.
Answer:
C
26.
Answer:
D
7.
Answer:
A
27.
Answer:
C
8.
Answer:
D
28.
Answer:
B
9.
Answer:
D
29.
Answer:
140
10.
Answer:
A
30.
Answer:
50
11.
Answer:
C
31.
Answer:
30
12.
Answer:
D
32.
Answer:
30
13.
Answer:
A
33.
Answer:
70
14.
Answer:
B
34.
Answer:
4
15.
Answer:
C
35.
Answer:
40
16.
Answer:
B
17.
Answer:
A
18.
Answer:
B
19.
Answer:
20.
Answer:
36.
Answer:
1.5
37.
Answer:
1
2
38.
Answer:
y = 34 x + 10
B
39.
Answer:
y = 2x
D
40.
Answer:
7
2
3
Teacher's Key
41.
Answer:
2
5
42.
Answer:
y
4 = 2(x
43.
Answer:
y
5 = 32 (x
5)
6)
Page 2