Intersecting lines are ____________ coplanar.

always

sometimes

never

 

Three points are ____________ collinear.

 

always

sometimes

never

Name the red line.ABWCD

 

D

AW

CB

Which of the following is NOT a ray shown in the

drawing?

AC

A

BCA

B

CBA

C

CA

AC=Find  AC and CD.AB

CD=CD

Which of the following

set of points ARE

coplanar?

AHBC

DCBE

AHCD

EDCA

AEHB

DCAEGBFCD

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

 

10

N

5

T

A __________ has two endpoints.

line

ray

segment

angle

A(an) _________ angle is less than 90 degrees

 obtuse

right

adjacent

acute

WSZVXTYU

Which point is contained

in plane TUY?

W

V

Z

X

A location in space is the definition of a . . .

line

plane

point

ray

ODEFm<DOF =

If m<DOE= 33'  and

    m<EOF = 11'

 

then what is the

measure of <DOF?

T is the midpoint of line PQ.

If PT = 4x -6  and  TQ = 3x+4,   then x = _________?

x=PTQ

Two  points  __________  form a line

never

maybe

 always

sometimes

Match the following definitions.  Put the correct letter in the box.

Obtuse Angle

Parallel linesPoint

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

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.

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

b.  part of a line

with one endpoint

Use lower case letters.

-8

 

  

-6Find the distance between the givin points.-4

d=-2

 

02468

dacb

b.  complementary angles

c.  supplementary angles

<a and <b  are                 angles

< a and <c are               angles

a.  vertical angles

 

MNOP

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.ABCD

 BD 

BA

DA

CA

If m<EOF = 26 and m<FOG = 38, then what is the

measure of <EOG?

OEF

G

63

 64

12

90

x+325x-24

 x=14

x=1

x=6

x=12

Find x:ab125a =b =

8020cabb =c =a =d=

150bc100a

a =

c =b =

A(3x + 31)O(2x - 6)C<AOC =<BOC =Bx =

In order for non-intersecting lines to

be parallel, they have to be on the . . .

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

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

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

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

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

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

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

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.

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

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

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

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.

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?

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Factoring Special Products: Perfect Square Trinomials & The Difference of Perfect Squares

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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

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

Factoring Special Products

Practice Problems