1. Intersecting lines are ____________ coplanar.
always
sometimes
never
Three points are ____________ collinear.
always
sometimes
never
Name the red line.
A
B
W
C
D
D
AW
CB
Which of the following is NOT a ray shown in the
drawing?
AC

2. A
BCA
B
CBA
C
CA
AC=
Find AC and CD.
A
B
CD=
C
D
13 4
Which of the following
set of points ARE
coplanar?
AHBC
DCBE
AHCD
EDCA
A
E
H
B

3. D
C
A
E
G
B
F
C
D
DCG
EGA
AFD
EFD
Name a plane
that is parallel to
plane ABC.
All segments
have a midpoint?
false
true
If N is the midpoint of ST and ST=10, then the
length of NS is.......
20
S

4. 10
N
5
T
A __________ has two endpoints.
line
ray
segment
angle
A(an) _________ angle is less than 90 degrees
obtuse
right
adjacent
acute
W
S
Z
V
X
T
Y
U
Which point is contained

5. in plane TUY?
W
V
Z
X
A location in space is the definition of a . . .
line
plane
point
ray
O
D
E
F
m<DOF =
If m<DOE= 33' and
m<EOF = 11'
then what is the
measure of <DOF?
44
T is the midpoint of line PQ.
If PT = 4x -6 and TQ = 3x+4, then x = _________?

6. x=
P
T
Q
10
Two points __________ form a line
never
maybe
always
sometimes
Match the following definitions. Put the correct letter in the box.
Obtuse Angle
Parallel lines
Point
Skew
Use lower case letters.
b. An angle between
90 and 180 degrees
a. location in space
c. noncoplanar
lines that do not
intersect.
d. coplanar lines
that do not intersect
a d c b

7. Match the following definitions. Put the correct letter in the box.
Collinear points
Parallel planes
Intersect
Plane
Coplanar
e. lie in the same plane
d. planes that do not
intersect
b. flat surface that
extends in all directions
a. share at least
one point
c. points that lie
on the same line
Use lower case letters.
b a e d c
Match the following definitions. Put the correct letter in the box.
Ray
Segment
Space
c. the set of all
points
a. part of a line
with 2 endpoints

8. b. part of a line
with one endpoint
Use lower case letters.
b a c
-8
-6
Find the distance between the givin points.
-4
d=
-2
0
2
4
6
8
6
d
a
c
b
b. complementary angles
c. supplementary angles
<a and <b are angles
< a and <c are angles
a. vertical angles

9. a c
M
N
O
P
Are O, N, and P collinear, If so,
name the line on which they lie.
Yes, they lie on the line MP.
Yes, they lie on the line NP.
Yes, they lie on the line MO.
No, the three points are not
collinear.
Name the ray that is opposite BA.
A
B
C
D
BD
BA
DA
CA
If m<EOF = 26 and m<FOG = 38, then what is the
measure of <EOG?
O
E
F

10. G
63
64
12
90
x+32
5x-24
x=14
x=1
x=6
x=12
Find x:
a
b
125
a =
b =
55 55
80
20
c
a
b
b =
c =
a =
d=
160 120 20 100
150
b
c
100
a
a =

11. c =
b =
150 30 80
A
(3x + 31)
O
(2x - 6)
C
<AOC =
<BOC =
B
x =
124 31 56
In order for non-intersecting lines to
be parallel, they have to be on the . . .
same plane
 1
Points A and B are collinear. This means that points A and B...
• Lie in one plane
• Lie in one triangle
• Lie on one line
• Lie in any quadrilateral
 2
Points C and D are coplanar. This means that points C and D...
• Lie in one plane
• Lie in one triangle

12. • Lie on one line
• Lie in any quadrilateral
 3
Point B lies on segment AC. AB = 10 and BC = 8. Find AC.
• 2
• 8
• 10
• 18
• 80
 4
Which postulate, property, theorem, or definition justifies your answer to #3?
• Ruler Postulate
• Segment Addition Postulate
• Additive Property of Equality
• Definition of Congruent Segments
• Addition Postulate
 5
The length of segment AB = the length of segment CD. Therefore, segments AB
and CD are _______.
• Complementary
• Supplementary
• Vertical

13. • Equal
• Congruent
 6
AB = 10. Point M is the midpoint of segment AB. Find AM.
• 5
• 10
• 20
• AM cannot be determined
 7
The measure of angle A = 180 degrees. Therefore, angle A is a/an ______ angle.
• Acute
• Obtuse
• Right
• Straight
• Reflex
 8
The measure of angle B = 100 degrees. Therefore, angle B is a/an _______ angle.
• Acute
• Obtuse
• Right
• Straight
• Reflex

14.  9
The measure of angle C = 22 degrees. Therefore, angle C is a/an _______ angle.
• Acute
• Obtuse
• Right
• Straight
• Reflex
 10
The measure of angle D = 90 degrees. Therefore, angle D is a/an _______ angle.
• Acute
• Obtuse
• Right
• Straight
• Reflex
 11
Rays OA and OB are perpendicular. What kind of angle is angle O?
• Acute
• Obtuse
• Right
• Straight
• It cannot be determined.
 12

15. Point B lies in the interior of angle AOC. The measure of angle AOB = 50
degrees and the measure of angle AOC = 70 degrees. Find the measure of angle
BOC.
• 20 degrees
• 50 degrees
• 70 degrees
• 120 degrees
• 180 degrees
 13
Angles A and B are congruent. Which of the following demonstrates that?
• The measure of angle A = 60 degrees; the measure of angle B = 40 degrees
• The measure of angle A = 60 degrees; the measure of angle B = 60 degrees
• The measure of angle A = 60 degrees; the measure of angle B = 120 degrees
• The measure of angle A = 60 degrees; the measure of angle B = 30 degrees
• None of the above demonstrate the fact that angle A is congruent to angle B.
 14
Ray YW bisects angle XYZ. The measure of angle XYZ = 80 degrees. Find the
measure of angle XYW.
• 20 degrees
• 40 degrees
• 80 degrees
• 160 degrees
• 180 degrees

16.  15
Which of the following is not necessarily true?
• Through any two points there is exactly one line.
• If two points lie in a plane, then the line that contains the points is in that plane.
• If two planes intersect, then their intersection is a line.
• If two lines intersect, then they intersect in exactly one point.
• If two lines intersect, then exactly one plane contains the lines.
• None of the above; all of the above are always true.
 16
Angles 1 and 2 are vertical angles. The measure of angle 1 = 55 degrees. Find the
measure of angle 2.
• 35 degrees
• 45 degrees
• 55 degrees
• 125 degrees
• It cannot be determined.
 17
Angles A and C are both supplements of angle B. If the measure of angle A = 35
degrees, find the measure of angle C.
• 35 degrees
• 55 degrees
• 65 degrees
• 90 degrees

17. • 100 degrees
• 145 degrees
• 180 degrees
 18
Lines AB and CD are parallel. Angles 1 and 5 are corresponding angles. If the
measure of angle 1 = 87 degrees, find the measure of angle 5.
• 3 degrees
• 87 degrees
• 90 degrees
• 93 degrees
 19
Lines AB and CD are parallel. Angles 1 and 4 are same-side interior angles. If
the measure of angle 1 = 75 degrees, find the measure of angle 4.
• 15 degrees
• 75 degrees
• 90 degrees
• 105 degrees
 20
Lines AB and CD are parallel. Angles 1 and 4 are alternate interior angles. If the
measure of angle 1 = 68 degrees, find the measure of angle 4.
• 22 degrees
• 68 degrees
• 90 degrees

18. • 112 degrees
 21
True or False: Lines that do not intersect MUST be parallel.
• True
• False
 22
True or False: Planes that do not intersect MUST be parallel.
• True
• False
 23
Lines AB and CD do not intersect on a piece of paper. They are cut by a
transveral, and angles 1 and 10, corresponding angles, are of equal measure.
What can you deduce?
• Lines AB and CD are perpendicular.
• Lines AB and CD are parallel.
• Lines AB and CD are skew.
• None of the above can be deduced.
 24
Lines AB and CD do not intersect on a piece of paper. They are cut by a
transversal, and angles 5 and 6, same-side interior angles, are of equal measure.
What can you deduce?
• Lines AB and CD are perpendicular.
• Lines AB and CD are parallel.
• Lines AB and CD are skew.

19. • None of the above can be deduced.
 25
Lines AB and CD do not intersect on a piece of paper. They are cut by a
transversal, and angles 11 and 12, alternate interior angles, are of equal measure.
What can you deduce?
• Lines AB and CD are perpendicular.
• Lines AB and CD are parallel.
• Lines AB and CD are skew.
• None of the above can be deduced.
 26
A transversal of two lines is perpendicular to both lines. What can you deduce?
• The two lines are parallel.
• The two lines are perpendicular.
• The two lines are adjacent.
• The two lines are congruent.
 27
Two lines parallel to a third line are ______ to each other.
• Parallel
• Perpendicular
• Adjacent
• Congruent
 28

20. Point C does not lie on line AB. How many lines can be drawn through point C
that are parallel to line AB?
• Zero
• One
• Two
 29
Point C does not lie on line AB. How many lines can be drawn through point C
that are perpendicular to line AB?
• Zero
• One
• Two
 30
Triangle ABC is isosceles. If AB = 5, find AC.
• 5
• 10
• 25
• It cannot be determined.
 31
Triangle DEF is equiangular. Find the measure of angle F.
• 30 degrees
• 60 degrees
• 90 degrees
• 180 degrees

21.  32
The sum of the measures of the angles of a triangle is ___ degrees.
• 60
• 90
• 180
• 360
 33
The acute angles of a right triangle are _______.
• Congruent
• Vertical
• Complementary
• Supplementary
 34
In triangles ABC and DEF, angle A is congruent to angle D, and angle B is
congruent to angle E. Therefore, angles C and F must be _______.
• Congruent
• Vertical
• Complementary
• Supplementary
 35
True or False: The measure of an exterior angle of a triangle is equal to the sum
of the measures of the two remote interior angles.
• True

22. • False
 36
The sum of the measures of the exterior angles of a decagon is _____ degrees.
• 36 degrees
• 180 degrees
• 360 degrees
• 1800 degrees
• 3600 degrees
 37
Which formula can be used for finding the sum of the measures of the interior
angles of a convex polygon with "n" sides? (a) (b) = a times b
• (n - 2) (180)
• (n + 2) (180)
• (2n - 1) (180)
• (2n + 1) (180)
• (n - 360) (n + 1)
 38
True or False: If a polygon is equiangular, then it is also equilateral.
• True
• False
 39
True or False: If a polygon is regular, then it is also equiangular.

23. • True
• False
 40
Use inductive reasoning to predict the next two numbers in the sequence, "1, 4, 9,
16, ..."
• 23, 30
• 25, 41
• 9, 4
• 25, 36
• None of the above.
 41
True or False: If Valerie is older than Greg, and Dan is older than Greg, then
Dan is older than Valerie.
• True
• False

Which is most true for you?
• I like to earn cash by taking surveys
• I like watching funny videos online
Factoring Special Products: Perfect Square Trinomials & The
Difference of Perfect Squares
Report

24. Rating:
(8)
Author:
Craig Nelson (382)
Objective:
To explain how to factor Perfect Square Trinomials and The Difference of Perfect Squares.
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Words To Know
• Perfect Square Trinomials - (ax)2
+ 2abx + b2
. A perfect square trinomial is a quadratic
that can be

25. factored into two identical binomials that take on the form of (ax+b)2
or (ax+b)(ax+b).
• Difference of Perfect Squares - a2
- b2
. The difference of perfect squares is when a
number is
squared and then subtracted by another squared number and can be factored as (a-b)
(a+b).
Perfect Square Trinomial vs. Factored Form
Difference of Perfect Squares vs. Factored Form

26. Factoring Special Products

27. Practice Problems