October 06, 2016
Obj:
Ex.
6 and
Write proofs involving angles (supplmentary,
complementary, congruent, and right).
7 form a linear pair. If m
m 7 = 5x + 12, find x, m
6, and m
6 = 3x + 32 and
7. Justify each step.
October 06, 2016
Obj:
Write proofs involving angles (supplmentary,
complementary, congruent, and right).
Congruent Supplements Theorem:
s suppl. to same
2
or =
1
s are =
.
3
Congruent Complements Theorem:
s compl. to same
or =
s are=
.
October 06, 2016
October 06, 2016
Obj:
Write proofs involving angles (supplmentary,
complementary, congruent, and right).
(Proof): One Case of the Congruent Complements Theorem
If 2 angles are complementary to the same angle, then
they are congruent to each other.
Given:
Prove:
Statements
Reasons
October 06, 2016
Vertical Angles Theorem:
Vert.
Obj:
Write proofs involving angles (supplmentary,
complementary, congruent, and right).
s are = .
D
A
Proof:
B
Given: diagram as shown
Prove:
ABC =
Statement
DBE
C
Reason
E
October 06, 2016
Obj:
Ex.
Prove:
B
A
Given: DB bis.
2 =
Statement
ADC
3
Write proofs involving angles (supplmentary,
complementary, congruent, and right).
1 2
D
3
Reason
C
October 06, 2016
Right Angle Theorems:
Obj:
Write proofs involving angles (supplmentary,
complementary, congruent, and right).
1. Perpendicular lines interest to form 4 right angles.
2. All right angles are congruent.
3. Perpendicular lines form congruent adjacent angles.
4. If two angles are congruent and supplementary, then each
angle
is a right angle.
5. If two congruent angles form a linear pair, then they are right
angles.
October 06, 2016
Obj:
Given:
ABC is a right angle.
Prove:
ABD comp
CBD
Write proofs involving angles (supplmentary,
complementary, congruent, and right).
A
D
B
Statement
Reason
C
October 06, 2016
HW:
Obj:
Write proofs involving angles (supplmentary,
complementary, congruent, and right).
(HR) (2.8) Pg. 156: 10, 13, 15, 16, 21, 25