Chapter 2

Question 1

Midpoint

Answer 1

The midpoint of a segment is the point that divides the segment into two congruent segments

Question 2

Midpoint Formula

Answer 2

Midpoint=(x₁+x₂/2, y₁+y₂/2)

Question 3

Distance Formula

Answer 3

Distance=√(x₂-x₁)²+(y₂-y₁)²

Question 4

Line Segment

Answer 4

Line segment(symbol) AB consists of the endpoints A and B and all points on line (symbol)AB that lie between A and B

Question 5

Ray

Answer 5

The ray AB, or AB(ray symbol), consists of the initial point A, and all points on line (symbol) AB that lie on the same side of A as B does

Question 6

Opposite Rays

Answer 6

Two rays on the same line that share the same initial point and extend in opposite directions.

Question 7

Collinear

Answer 7

Points, Segments, or rays that are on the same line are collinear

Question 8

Angle

Answer 8

An angle 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

Answer 9

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

Question 10

Right Angle

Answer 10

A right angle is an angle with a measure of 90°

Question 11

Obtuse Angle

Answer 11

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

Question 12

Straight Angle

Answer 12

A straight angle is an angle that measures 180°

Question 13

Interior of an Angle

Answer 13

A point D is in the interior of angle(symbol) A if it is between points that lie on each side of the angle.

Question 14

Exterior of an Angle

Answer 14

A point D is in the exterior of angle (symbol) 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 no common interior points

Question 16

Segment Addition Postulate

Answer 16

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

Question 17

Angle Addition Postulate

Answer 17

If B is in the interior of (angle symbol) AOC, then the (measure of angle symbol) AOB + (measure of angle symbol) BOC= (measure of angle symbol) AOC

Question 18

Congruent Segments

Answer 18

Two segments are congruent if they have the same length

Question 19

Congruent Angles

Answer 19

Two angles are congruent if they have the same measure.

Question 20

Segment Bisector

Answer 20

a segment bisector is a segment, ray, line, or plane that intersects a segment at it’s midpoint.

Question 21

Angle Bisector

Answer 21

an angle bisector is a ray that divides the angle into two congruent angles

Question 22

Perpendicular Lines

Answer 22

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

Question 23

Perpendicular Line and Plane

Answer 23

a line is perpendicular to a plane if it is perpendicular to each line in the plane that intersects it

Question 24

Postulate 5

Answer 24

Through any two distinct points there exists exactly one line

Question 25

Postulate 6

Answer 25

A line contains at least two points

Question 26

postulate 7

Answer 26

Through any 3 noncollinear points there exists exactly one plane

Question 27

postulate 8

Answer 27

A plane contains at least 3 noncollinear points

Question 28

postulate 9

Answer 28

If two distinct points lie in a plane, then the line containing them lies in the plane

Question 29

postulate 10

Answer 29

If two distinct planes intersect, then their intersection is a line.

Question 30

Addition property of equality

Answer 30

if a=b, then a+c=b+c

Question 31

Subtraction Property of equality

Answer 31

if a=b, then a-c=b-c

Question 32

multiplication property of equality

Answer 32

if a=b, then ac=bc

Question 33

division property of equality

Answer 33

if a=b and c does not equal 0, then a/c=b/c

Question 34

reflexive property of equality

Answer 34

for any real number a, a=a

Question 35

symmetric property of equality

Answer 35

if a=b, then b=a

Question 36

transitive property of equality

Answer 36

if a=b and b=c, then a=c

Question 37

substitution property of equality

Answer 37

if a=b, then a may be substituted for b in any equation or expression

Question 38

reflexive property of congruence

Answer 38

for all objects A, A is congruent to A

Question 39

Symmetric property of congruence

Answer 39

if A is congruent to B, then B is congruent to A

Question 40

Transitive Property of congruence

Answer 40

If A is congruent to B, and B is congruent to F, then A is congruent to F

Question 41

Vertical Angles

Answer 41

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

Question 42

Linear Pair of Angles

Answer 42

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

Question 43

Complementary Angles

Answer 43

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

Question 44

Supplementary Angles

Answer 44

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

Question 45

Linear Pair postulate

Answer 45

If two angles form a linear pair, then they are supplementary; that is, the sum of their measures is 180°

Question 46

Congruent Supplements Theorum

Answer 46

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

Question 47

Congruent Complements Theorum

Answer 47

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

Question 48

Vertical angles theorum

Answer 48

If two angles are vertical angles, then they are congruent.