Chapter 2&3

Question 0

Postulate about planes

Answer 0

Three points determine a plane
Has at least three non collinear points
Two points in a plane, the likes with the points lie in the plane
If two points intersect the intersection is a line

Question 1

Postulates about lines

Answer 1

Two points determine a line
A line contains two points
If two lines intersect the intersection is a point

Question 2

Perpendicular

Answer 2

Two lines that meet at a right angle

Question 3

Addition property of equality

Answer 3

a+c=b+c

Question 4

Subtraction property of equality

Answer 4

a-c=b-c

Question 5

Multiplication property of equality

Answer 5

A(c)=b(c)

Question 6

Division property of equality

Answer 6

A/c=b/c

Question 7

Substitution property of equality

Answer 7

A can be substituted for B In any equation or expression

Question 8

Distributive property

Answer 8

a(b+c)=AB+BC

Question 9

Reflexive property of equality

Answer 9

A=A a thing equals to itself

Question 10

Symmetric properties of equality

Answer 10

A=b, then b=a

If one expression equals another, it doesn’t matter which expression foes on which side

Question 11

Transitive properties of equality

Answer 11

If a=b and b=c, then a=c

If two things equal a third thing, they also equal each other

Question 12

Right angle congruence theorem

Answer 12

All right angles are congruent

Question 13

Vertical angles congruence theorem

Answer 13

All vertical angles are congruent

Question 14

Linear pair postulate

Answer 14

Angles in a linear pair are supplements

Question 15

Parallel lines

Answer 15

Don’t intersect and slopes are equal
They can be on a plane
A line can be parallel to a plane if it is on the plane or on another plane that’s parallel

Question 16

Skew lines

Answer 16

Do not intersect and are not on the same plane

Question 17

Parallel postulate

Answer 17

Given a line and a point not on the line, you can draw only one line that is parallel to the original line and goes through the point.

Question 18

Perpendicular postulate

Answer 18

Given a line and a point not on the line, you can draw only one line that is perpendicular to the original line and goes through the point.

Question 19

Transversal

Answer 19

A line that intersects two or more other limes at different points

Question 20

Interior angles

Answer 20

Inside the lines

Question 21

Exterior angles

Answer 21

Outside the lines

Question 22

Consecutive angles

Answer 22

Same side of the transversal

Question 23

Alternate angles

Answer 23

Opposite sides of transversal

Question 24

Consecutive interior angles postulate

Answer 24

parallel lines crossed by a transversal, consecutive interior angles will always be supplementary

Question 25

Alternate Interior Angles Postulate

Answer 25

parallel lines crossed by a transversal, alternate interior angles are always congruent

Question 26

Alternate Exterior Angles Postulate

Answer 26

parallel lines crossed by a transversal, alternate exterior angles are congruent.

Question 27

Corresponding Angles Postulate

Answer 27

Parallel lines crossed by a transversal, corresponding angles are congruent

Question 28

Consecutive Interior Angles Converse Theorem

Answer 28

If their consecutive interior angles are supplements then the lines are parallel.

Question 29

Alternate interior angles converse theorem

Answer 29

if their alternate interior angles are congruent, then the lines will be parallel.

Question 30

Alternate exterior angles converse theorem

Answer 30

if their alternate exterior angles are congruent, then the lines will be parallel.

Question 31

Corresponding angles converse theorem

Answer 31

if their corresponding angles are congruent, then the lines will be parallel

Question 32

Transitive property of parallel lines

Answer 32

If A is parallel to B and B is parallel to C then A and C are parallel.

Question 33

Slopes of parallel lines

Answer 33

If two lines are parallel, then they have the same slope
If two lines have the same slope, then they are parallel
Vertical lines have no slope, but they are always parallel to each other

Question 34

Slopes of perpendicular lines

Answer 34

If two lines are perpendicular to each other, their slopes are opposite and reciprocal to each other
If two lines have the slope that is opposite and reciprocal of each other, they are opposite of each other.
Vertical lines are always perpendicular to a horizontal line.

Question 35

Perpendicular Transversal Theorem

Answer 35

if a transversal us perpendicular to one of two parallel lines, then it is perpendicular to the other.

Question 36

Lines Perpendicular to a Transversal Theorem

Answer 36

in a plane, if two lines are perpendicular to the same line, then they are parallel to each other.