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WorksheetsGeometry Regents
Total questions: 81
Worksheet time: 3hrs 50mins
Name
Class
Date
1.
Find the length of DE
a)
12
b)
11
c)
10
d)
13
2.
Find the value of x.
a)
14
b)
60
c)
35
d)
180
3.
If m∠XOZ = 74°, find m∠XOY.
a)
37°
b)
74°
c)
90°
d)
148°
4.
Solve for x
a)
6
b)
140
c)
20
d)
90
5.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=25
b)
Complementary; x=5
c)
Supplementary; x=25
d)
Supplementary; x=5
6.
Solve
a)
50°
b)
58°
c)
115°
d)
226°
7.
What is m∠ABD
a)
80
b)
120
c)
20
d)
100
8.
Q is the midpoint of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.
a)
8
b)
16
c)
41
d)
82
9.
Let B be between A and C.
a)
7
b)
24
c)
13
d)
14
10.
Use the figure to write and solve an equation for x.
a)
5
b)
6
c)
7
d)
8
11.
Corresponding angles....
a)
Add up to 180 degrees
b)
Are the same measure
c)
Add up to 90 degrees
12.
Identify the special angle pair name for <5 and <4
a)
alternate interior angles
b)
vertical angles
c)
corresponding angles
d)
same-side interior angles
13.
Identify the special angle pair name for <9 and <8
a)
alternate exterior angles
b)
same-side interior angles
c)
alternate interior angles
d)
corresponding angles
14.
Which pair represents alternate interior angles?
a)
<1 & <3
b)
<2 & <3
c)
<5 &<4
d)
<2 & <4
15.
m<10 = 125, m<8 = (15x-25)
What is x?
What is x?
a)
15
b)
14/3
c)
10
d)
20/3
16.
m<9 = 60, m<5 = 4x-4
What is x?
What is x?
a)
29
b)
16
c)
14
d)
60
17.
Parallel lines mean...
a)
They intersect forming a 90 degree angle
b)
They make a straight line
c)
They intersect and make vertical angles
d)
They never intersect
18.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
19.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
20.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
21.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
22.
Are the triangles congruent, if yes, why?
a)
SSS
b)
ASA
c)
AAA
d)
Not Congruent
23.
Complete the congruence statement.
a)
OEG
b)
OGE
c)
EGO
d)
GOE
24.
Use the congruency statement to answer the following:
<F = ___
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
25.
Given the line 2x-3y=9, write the equation of a line parallel to it that passes through the point (4, -1)
a)
y = 3/2x - 7
b)
y = -2/3x + 5/3
c)
y = 2/3x - 11/3
d)
y = -3/2x + 5
26.
Angles x and y are...
a)
alternative interior
b)
alternate exterior
c)
corresponding
d)
same-side interior
27.
What is the equation of a line that is perpendicular to the line
y = 3x - 6 and passes through the point (15,5).
y = 3x - 6 and passes through the point (15,5).
a)
y = -3x + 10
b)
y= 1/3x +10
c)
y = -1/3x +10
d)
y = 3x -15
28.
Find the value of x by using the exterior angle theorem.
a)
A
b)
B
c)
C
d)
D
29.
Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0)
a)
(4, 3.5)
b)
(3.5, 5)
c)
(3.5, 4.5)
d)
(5, 3.5)
30.
An acute angle is
a)
complementary
b)
Less than 900
c)
more than 900
31.
An obtuse angle is
a)
more than 900
b)
more than 2700
c)
more than 90 degrees and less than 1800
32.
The complement of 400 is
a)
900
b)
400
c)
500
33.
The supplement of 1200 is
a)
1000
b)
600
c)
200
34.
A scalene triangle has
a)
3 unequal sides
b)
3 equal sides
c)
2 equal sides
35.
An isosceles triangle has
a)
no equal sides
b)
2 equal sides
c)
3 equal sides
36.
What is a right angle
a)
Angle measure 90º
b)
A triangle
c)
The middle point of an angle
37.
Solve for x using knowledge about supplementary angles.
a)
90
b)
61.7
c)
180
d)
30
38.
Find what the value of x.
a)
118
b)
108
c)
28
d)
58
39.
Which of the following statements are true?
a)
You need 2 points to define a line
b)
A ray goes on indefinitely in only one direction
c)
A line can be designated with 3 capital letters
d)
Both (A) and (B)
40.
What is the slope of the line 3y=-4x-12?
a)
-4
b)
3
c)
-12
d)
-4/3
41.
What is the slope of the line that is perpendicular to the line y=3x-2
a)
3
b)
-3
c)
1/3
d)
-1/3
42.
In a triangle ABC, the measure of angle A is 45 degrees, angle B is (2x-10)°, and angle C is (3x+5)°. What is the value of x, and the measure of angle B?
a)
x= 28, m∠B= 46
b)
x= 5, m∠B= 0
c)
x= 45, m∠B= 80
d)
x= 13, m∠B= 100
43.
What type of triangle is shown? Complete the statement: ∠A≅∠_.
a)
Equilateral; C
b)
Isosceles; C
c)
Isosceles; B
d)
Scalene; None
44.
If ∠DEF and ∠HIJ are a linear pair, which of the following is not always true?
a)
They are adjacent.
b)
They are complementary.
c)
They are supplementary.
d)
They are on a line together.
45.
Describe the triangle
a)
Acute; Scalene
b)
Right; Isosceles
c)
Equilateral; Equiangular
d)
Right; Scalene
46.
Describe the triangle
a)
Acute; Scalene
b)
Right; Isosceles
c)
Equilateral; Equiangular
d)
Right; Scalene
47.
Solve for x
a)
66
b)
114
c)
56
d)
106
48.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
49.
An example of coplanar points
a)
D, E, B
b)
C, B, A
c)
M, E, C
d)
A, F, E
50.
Name 4 collinear points
a)
HMNO
b)
IKNO
c)
MJOL
d)
HNKI
51.
Find the value of x
a)
x=47
b)
x=19
c)
x=33
d)
x= -47
52.
Find the measure of the indicated angle.
a)
180
b)
70
c)
54
d)
56
53.
3
a)
1
b)
2
c)
3
d)
4
54.
4
a)
1
b)
2
c)
3
d)
4
55.
5
a)
1
b)
2
c)
3
d)
4
56.
Solve for x
a)
6
b)
50
c)
54
d)
7
57.
What is the "statement" for step 2 of the proof?
a)
∆BAC≅∆DAC
b)
BC=DC
c)
∡B≅∡D
d)
∡BAC≅∡DAC
58.
What is the "reason" for step 5 of the proof?
a)
Vertical Angle Theorem
b)
proof
c)
def. of angle bisector
d)
CPCTC
59.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides.
d)
To cut something into two congruent pieces or in half.
60.
a)
m∠SQP=120,
m∠PQR=60
m∠PQR=60
b)
m∠SQP=120,
m∠PQR=120
m∠PQR=120
c)
m∠SQP=60,
m∠PQR=60
m∠PQR=60
d)
m∠SQP=60,
m∠PQR=120
m∠PQR=120
61.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
62.
Part of a line. Has two endpoints and includes all of the points in between.
a)
Point
b)
Angle
c)
Line
d)
Line Segment
63.
An exact location in space with no length or width.
a)
Ray
b)
Point
Point
Point
c)
Line
d)
Line segment
64.
Part of a line. Has one endpoint and continues on forever in one direction.
a)
Line Segment
b)
Line
c)
Ray
d)
Point
65.
What is the term for a part of a line with two endpoints?
a)
point
b)
ray
c)
angle
d)
line segment
66.
Name the image
a)
Line
b)
Ray
c)
Line segment
d)
Angle
67.
Name the image
a)
Line segment
b)
Line
Ray
Ray
c)
Point
Point
Point
d)
Ray
Line Segment
Line Segment
68.
Name the Image.
a)
Ray
b)
Point
c)
Line
d)
Line segment
69.
Name the Image
a)
Angle
b)
Line
c)
Line Segment
d)
Ray
70.
What is the name of this ray?
a)
Ray AB
b)
Ray BA
c)
Ray ABC
d)
Ray AC
71.
Which is the hypothesis of the following conditional statement?
If I have passing grades, then I have perfect attendance.
a)
I have passing grades
b)
I have perfect attendance
c)
I do not have passing grades
d)
I do not have perfect attendance
72.
What is the converse to the following conditional statement?
If an animal is a dog, then it is a mammal.
a)
If an animal is a dog, then it is a mammal.
b)
Then it is a mammal.
c)
If it is a mammal, then an animal is a dog.
d)
If an animal is not a dog, then it is not a mammal.
73.
What is the inverse to the following conditional statement?
If it rains today, then the ground will be wet.
a)
If the ground is not wet, then it did not rain today.
b)
If it rains today, then the ground will be wet.
c)
If it does not rain today, then the ground will not be wet.
d)
If it rains today, then the ground will not be wet.
74.
What is the contrapositive to the following conditional statement?
If it rains today, then the ground will be wet.
a)
If the ground will be wet, then it rains today.
b)
If the ground is not wet, then it does not rain today.
c)
If it does not rain today, then it rains today.
d)
If it does not rain today, then the ground will not be wet.
75.
What is the hypothesis of the following statement: "If Johnny is late to school, then his mom will have to drive him."
a)
His mom will have to drive him
b)
If Johnny is late to school
c)
Johnny is late to school
d)
Then his mom will have to drive him
76.
What is the conclusion of the following statement: "The angles are supplementary, if they add up to 180 degrees."
a)
if they add up to 180 degrees
b)
the angles are supplementary
c)
they add up to 180 degrees
d)
there is no conclusion
77.
Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.
a)
If I have a Siberian Husky.
b)
I have a Siberian Husky.
c)
Then I have a dog.
d)
I have a dog.
78.
The "q" part of the conditional statement is called the
a)
hypothesis
b)
conclusion
c)
inverse
d)
contrapositive
79.
Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog.
80.
Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog.
81.
To write the converse you negate both the hypothesis and the conclusion.
a)
False
b)
True
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