Chapter 2

Question 1

Midpoint Formula

Answer 1

x1 + x2 y1 + y2
_______ , _______
2 2

Question 2

Midpoint definition

Answer 2

The point that divides the segment into two congruent segments

Question 3

Distance formula

Answer 3

(Square root around everything)

(x2 - x1) 2 + (y1 - y2) 2

Question 4

Line segment definition

Answer 4

Segment A.B. consist of the endpoints A and B and all points on the line A.B.
that lie between A and B.

Question 5

Ray definition

Answer 5

The ray AB, consists of the initial point A and all points on line AB that lie on the same side of A as B lies.

Question 6

Opposite rays definition

Answer 6

On the line A.B. if C is between A and B, then, CA and CB are opposite rays

Question 7

Collinear definition

Answer 7

Points, segments or Rays that lie on the same line

Question 8

Angle

Answer 8

Consists of two different rays that have the same initial point. The rays are the sides of the angle and the initial point is the vertex of the angle.

Question 9

Acute angle definition

Answer 9

An acute angle is an angle with a measure greater than 0° and less than 90°.

Question 10

Right angle definition

Answer 10

Right angle is an angle with a measure of 90°

Question 11

Obtuse angle Definition

Answer 11

An obtuse angle is an angle with a measure greater than 90° and less than 180°.

Question 12

Straight angle definition

Answer 12

Straight angle is an angle that measures 180°

Question 13

Interior of an angle

Answer 13

Every non-straight angle has an interior. point D is in the interior angle A If it is between points that lie on each
side of the angle.

Question 14

Exterior of an angle

Answer 14

I agree non-Straight angle has an exterior. Point D is the exterior of angle A if it is not on the angle or in the interior of the angle.

Question 15

Adjacent Angles

Answer 15

Two angles are adjacent if they share a common vertex and side, but have no common interior points and lie on the same plane.

Question 16

Adjacent angles definition (bullets)

Answer 16

• two angles
• share a common vertex
• share a common side
• have no common interior points
• lie on the same plane

Question 17

Segment addition postulate

Answer 17

If B is between A and C then AB + BC = AC

Question 18

Angle addition postulate

Answer 18

If C is in the interior of angle AOD, then m

Question 19

Congruent segments

Answer 19

Two segments are congruent if they have the same length

Question 20

Congruent angles

Answer 20

Two angles are congruent if they have the same measure

Question 21

Midpoint

Answer 21

The point that divides the segment into two congruent segments

Question 22

Segment bisector

Answer 22

A segment, Ray, line, or plane that intersects a segment at its midpoint.

Question 23

Angle bisector

Answer 23

A ray that divides the angle into two congruent angles

Question 24

Perpendicular lines

Answer 24

Two lines are perpendicular if they intersect to form a right angle

Question 25

A line is perpendicular to plane....

Answer 25

If it is perpendicular to each line in the plane that intersects it

Question 26

Through any two distinct points...

Answer 26

There exists exactly one line.

Question 27

A line contains...

Answer 27

At least two points

Question 28

Through any three noncollinear points…

Answer 28

There exists exactly one plane

Question 29

A plane contains…

Answer 29

At least three noncollinear points

Question 30

If two distinct points lie in a plane,

Answer 30

Then the line containing them lies in the plane

Question 31

If two distinct planes intersect,

Answer 31

Then their intersection is a line

Question 32

Addition property

Answer 32

If A = B, then A + C = B + C

Question 33

Subtraction property

Answer 33

if A = B, then A - C = B - C

Question 34

Multiplication property

Answer 34

If A = B, then AC = BC

Question 35

Division property

Answer 35

if A = C and C doesn't = 0 | Then A / C = B / C

Question 36

Reflexive property

Answer 36

For any real number A, | A = A

Question 37

Symmetric property

Answer 37

Is A = B , then B = A

Question 38

Transitive property

Answer 38

If A = B and B = C then | A = C

Question 39

Substitution property

Answer 39

If A = B, then B can be replaced for A in any equation or expression.

Question 40

Reflexive property of congruence

Answer 40

I need geometric object is congruent to itself. A is congruent to A

Question 41

Symmetric property of congruence

Answer 41

If one object is congruent to a second, then the second object is congruent to the first. A is congruent to B. b is congruent to A

Question 42

Transitive property of congruence

Answer 42

If one geometric object is congruent to a second, and the second is congruent to a third, than the first object is congruent to the third object.

Question 43

Vertical angles

Answer 43

Two angles are vertical angles if their sides form two pairs of opposite rays

Question 44

Linear pair

Answer 44

Two adjacent angles are a linear pair if there noncommon sides are opposite rays

Question 45

Complementary angles

Answer 45

Two angles are complementary if the sum of the measures is 90°. Each angle is the complement of the other

Question 46

Supplementary angles

Answer 46

Two angles are supplementary and if the sum of their measures is 180°. Each angle is the supplement of the other

Question 47

Linear pair postulate

Answer 47

If two angles are a linear pair, then they are supplementary, in other words, the sum of the measures is 180°

Question 48

Congruent supplements theorem

Answer 48

If two angles are supplementary to the same angle or to congruent angles, then they are congruent

Question 49

Congruent complements theorem

Answer 49

If two angles are complementary to the the same angle or to congruent angles, then they are congruent.

Question 50

Vertical angles theorem

Answer 50

If two angles are vertical angles then they are congruent