Chapter 2

Question 1

Midpoint

Answer 1

point on the segment that divides it into two congruent segments

Question 2

Segment bisector

Answer 2

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

Question 3

Bisect

Answer 3

dividing the segment into two congruent segments

Question 4

Angle bisector

Answer 4

a ray that divides an angle into two angles that are congruent

Question 5

Complementary Angles

Answer 5

sum of the angles measures is 90°

Each angle is the complement of the other

Question 6

Supplementary angles

Answer 6

the sum of their measures is 180°

Each angle is the supplement of the other

Question 7

Adjacent angles

Answer 7

two angles that share a common vertex and side, but have no common interior points

Question 8

Theorem

Answer 8

a true statement that follows from other true statements

Question 9

Theormems 2.1 and 2.2
“Congruent complements Theorem”
“Congruent Supplements Theorem”

Answer 9

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

Question 10

Vertical angles

Answer 10

two angles that are not adjacent and their sides are formed by two intersecting lines

Question 11

Linear pair

Answer 11

two adjacent angles whose noncommon sides are on the same line

Question 12

Postulate 7 “Linear Pair Postulates”

Answer 12

If two angles form a linear pair, then they are supplementary

Question 13

Theorem 2.3 “Vertical Angles Theorem”

Answer 13

Vertical angles are congruent

Question 14

If-then Statement

Answer 14

“if” part contains the hypothesis, “then” contains the conclusion

Question 15

Deductive reasoning

Answer 15

uses facts, definitions, accepted properties and the laws of logic to make a logical argument

Question 16

Law of Logic “Law of Detachment”

Answer 16

If the hypothesis of a true if-then statement is true, then the conclusion is also true

Question 17

Law of Logic “Law of Syllogism”

Answer 17

If statement p, then statement q
if statement q, then statement r
———————————————-
if statement p, then statement r

Question 18

Properties of equality and congruence:

Reflexive Property

Answer 18

Equality: AB = AB Congruence: A-B =~A-B

m angle a = m angle a angle a is =~ angle a

Question 19

Properties of equality and congruence:

Symmetric Property

Answer 19

Equality: If AB = CD, then CD = AB / Congruence:
If m angle a = m angle b, then \ if A-B =~C-D, then
m angle b = m angle a / C-D=~A-B
\if m angle a =~ m angle b
/then m angle b =~m angle a

Question 20

Properties of equality and congruence:

Transitive property

Answer 20

Equality: If AB = CD and CD = EF, then AB = EF.
If m angle a = m angle b and m angle b = m angle c,
then m angle a = m angle c

Congruence: if A-B =~C-D and C-D =~E-F, then A-B =~E-F
If angle a =~angle b and angle b =~angle c,
then angle a =~angle c