Chapter 4

Question 1

The union of two non-opposite rays with a common endpoint.

Answer 1

Angle

Question 2

The two rays are ____

Answer 2

sides

Question 3

The common endpoint is the _____

Answer 3

Vertex

Question 4

The set of all points, P, in the plane of <BAC such that:
1. P and B are on the same side of line AC
2. P and C are on the same side of line AB

Answer 4

Interior of <BAC

Question 5

The set of all points in the same plane that lie neither in the interior nor on the angle.

Answer 5

Exterior of <BAC

Question 6

The union of the segments formed by 3 noncollinear points

Answer 6

Triangle

Question 7

The points are _____

Answer 7

Vertices

Question 8

The segments are ____

Answer 8

sides

Question 9

an instrument used to measure angles

Answer 9

Protractor

Question 10

The unit is _____

Answer 10

degrees

Question 11

The number of degrees in an angle is its _____

Answer 11

Measure

Question 12

To every angle there corresponds a real number between 0 and 180

Answer 12

Angle measurement postulate

Question 13

The given number from the angle measurement postulate

Answer 13

Measure of an angle

Question 14

Let ray AB be on the edge of half-plane, H. For every real number, r, between 0 and 180, there is exactly one ray AP with P in H such that the measure of angle PAB=R. (similar to point plotting theorem)

Answer 14

Angle construction postulate

Question 15

if D is in the interior of angle BAC, then m<BAC=m<BAD+m<CAD. (similar to betweeness)

Answer 15

Angle addition postulate

Question 16

If rays AB and AD are opposite and ray AC is any other ray, then angle BAC and angle CAD form a ____

Answer 16

Linear pair

Question 17

angles whose sum is 180. each is a supplement of each other.

Answer 17

Supplementary angles

Question 18

If two angle form a linear pair, they are supplementary

Answer 18

Supplement postulate

Question 19

Angle < 90

Answer 19

acute

Question 19

angle = 90

Answer 19

right

Question 20

angle > 90

Answer 20

obtuse

Question 21

angles whose sum is 90. Each is a complement of each other.

Answer 21

Complementary angles

Question 22

angles whose measures are equal

Answer 22

Congruent

Question 23

Two _____ are perpendicular if they are the sides of a right angle

Answer 23

rays

Question 24

Two _____ are perpendicular if they contain a pair of perpendicular rays

Answer 24

lines

Question 25

two _____ are perpendicular if: 1. each of them is a line, ray, or segment 2. they intersect 3. the lines containing them are perpendicular

Answer 25

sets

Question 26

Perpendicular = _____

Answer 26

Right angle

Question 27

a = a

Answer 27

reflexive

Question 28

if a = b, then b = a

Answer 28

symmetric

Question 29

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

Answer 29

transitive

Question 30

a relation that is reflexive, symmetric, and transitive

Answer 30

equivalence relations

Question 31

Congruence between angles is an equivalence relation

Answer 31

Theorem 4-1