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Proof #_____
Math IIAC
Name ____________________________
THM: If two angles are complementary to the same angle, then they have equal measures.
(Two angles complementary to the same angle are equal.)
Given:
Picture:
2 3
1
Prove:
Proof #_____
Math IIAC
Name _________________________
THM: If two angles are complementary to angles of equal measure then the two angles are
equal.
(Two angles complementary to equal angles are equal.)
Given:
Picture:
2
1
Prove:
3
4
Proof #_____
Math IIAC
Name ____________________________
THM: If two angles are supplementary to the same angle, then they have equal measures.
(Two angles supplementary to the same angle are equal.)
Given:
Picture:
a
b
c
Prove:
Proof #_____
Math IIAC
Name _________________________
THM: If two angles are supplementary to angles of equal measure then the two angles are
equal.
(Two angles supplementary to equal angles are equal.)
Given:
Picture:
c
a
Prove:
b
d
Proof #_____
Math IIAC
Name ____________________________
THM: If two adjacent angles are formed by perpendicular lines, then the angles have equal
measure. (Two adjacent angles formed by perpendicular lines are equal.)
Given:
Picture:
l
Prove:
m
1 2
Proof #_____
Math IIAC
Name _________________________
THM: If two lines form adjacent angles with equal measure, then the lines are
perpendicular.
(If two lines form equal, adjacent angles, the lines are perpendicular.)
Given:
Picture:
R
c
d
A
Prove:
Q
H
Proof #_____
Math IIAC
Name _________________________
THM: If the exterior sides of two adjacent acute angles are perpendicular, then the angles
are complementary.
Given:
Picture:
O
P
1
Prove:
E
2
A
Proof #_____
Math IIAC
Name _________________________
THM: If two angles are right angles, then they have equal measure.
(All right angles are equal.)
Given:
Prove:
Picture:
E
A
Proof #_____
Math IIAC
Name _________________________
THM: If two angles are vertical, then they have equal measure.
(Vertical angles are equal.)
Given:
Picture:
D
1
A
Prove:
2
B
C
3
E