1. 2.7 Angle Pair Theorems September 13, 2012
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Sep 17­11:47 AM
HW pg. 127 #8­26 evens, 37 & 39 1

2. 2.7 Angle Pair Theorems September 13, 2012
2.7 Prove Angle Pair Relationships
Theorem 2.3: Right Angle Congruence Theorem
All right angles are congruent.
Proof:
Given: <1 & <2 are right angles
Prove: <1 ≅ <2
Statements Reasons
1. <1 & <2 are right <s 1. Given
2. m<1=90, m<2=90 2. Def. of Right Angle
3. m<1=m<2 3. Transitive Prop. of =
4. <1 ≅ <2 4. Def. of ≅ Angles
Sep 17­12:30 PM
HW pg. 127 #8­26 evens, 37 & 39 2

3. 2.7 Angle Pair Theorems September 13, 2012
Theorem 2.4: Congruent Supplements Theorem
If 2 angles are supplementary to the same angle,
(or ≅ to angles), then they are congruent.
Sep 17­1:31 PM
HW pg. 127 #8­26 evens, 37 & 39 3

4. 2.7 Angle Pair Theorems September 13, 2012
Theorem 2.5: Congruent Complements Theorem
If 2 angles are complementary to the same angle
(or ≅ to angles), then they are congruent.
5
4 6
If <4 & <5 are complementary and <6 & <5 are complementary,
then <4 ≅ <6.
Draw a diagram and write GIVEN and PROVE
statements for a proof of each case of the
Congruent Complements Theorem.
Sep 17­1:36 PM
HW pg. 127 #8­26 evens, 37 & 39 4

5. 2.7 Angle Pair Theorems September 13, 2012
Postulate 12: Linear Pair Postulate
If 2 angles form a linear pair,
then they are supplementary
Theorem 2.6: Vertical Angles Congruence Theorem
Vertical angles are ≅.
Sep 17­1:42 PM
HW pg. 127 #8­26 evens, 37 & 39 5

6. 2.7 Angle Pair Theorems September 13, 2012
Sep 17­1:49 PM
HW pg. 127 #8­26 evens, 37 & 39 6

7. 2.7 Angle Pair Theorems September 13, 2012
HW pg. 127
#3­6,
8­26 evens,
37 & 39
Sep 17­1:52 PM
HW pg. 127 #8­26 evens, 37 & 39 7