Chapter 2

Name the underlined portion of the following statement:

If the sun is shining

then it is not raining.

hypothesis

Write the converse:

If today is Saturday then we are not in school.

If we are not in schoolthen today is Saturday.

Why are the following statements true?

1. LN = LN

2. If AB = BC and BC = 10 then AB = 10

1. Reflexive Property

2. Substitution Property

Name the following angles:

1 2 3 4

Angles 1 and 2: Angles 3 and 4: Adjacent Angles Vertical Angles

Vertical angles are ___________.

Vertical angles are congruent:

)(

m 1 + m 2 = ______

1 2

o

180o

m 1 + m 2 = 180because _________.

1 2

o

Angle Addition Postulate

If 1 and 2 are complementary angles then m 1 + m 2 = ______o

90

If 4 and 5 are supplementary angles then m 4 + m 5 = ______o

180

For the following slides, tell WHY each given statement is true…

If 1 and 2 are supps 3 and 1 are supps then 2 3=~

Supps of the same are =~

If BX bisects ABC then 1 2

A

B

C

X

12

=~

Def of bisector

If 1 and 2 are supps then m 1 + m 2 = 180

0

Def of supp s

BC = BC

1 1

(et cetera)

=~

Reflexive Prop

If M is the midpoint of AB then AM MB (AM = MB)

A M B

=~

Def of midpoint

If AM MB (AM = MB)then M is the midpoint of AB

=~

A M B

Def of midpoint

If 5 and 6 are comps then m 5 + m 6 = 900

Def of comp s

If 1 is a right/900 angle then l n

1l

n

Def of

If m n then 1 is a right/900 angle

1m

n

Def of

1 2 (m 1 = m 2)

=~

1 2

Vert s are =~

AB + BC = AC

AB

C

Segment Addition Postulate

m 1 + m 2 = m ABC

A

B C

1 2

Angle Addition Postulate