Transcript Prove Theorems - Petal School District

Advanced Geometry
Deductive Reasoning
Lesson 4
Prove Theorems
Reasons
•Definition of right angle
•Definition of straight angle
•Definition of linear pair
•Definition of perpendicular lines
**Once you have proven a theorem, it can
be used in any later proof as a reason.
Midpoint Theorem
If M is the midpoint of AB , then AM  MB.
A
M
B
Supplement Theorem
If two angles form a linear pair, then they are
supplementary angles.
Angles complementary to the same angle or
to congruent angles are congruent.
2
1
3
Vertical Angles Theorem
If two angles are vertical angles,
then they are congruent.
2
1
4
3
If two angles are congruent and supplementary,
then each angle is a right angle.