2.6 Proving Angles Congruent

1
2.6 Proving Angles Congruent

• A theorem - a conjecture or statement that you
  prove true.
• Theorem 2.1 Vertical Angles Theorem
• Vertical angles are congruent.

2
Using the Vertical Angles Theorem

• What is the value of x?
• 2x 21 4x
• 21 2x
• 10.5 x

3
Congruent Supplements Theorem

• If two angles are supplements of the same angle
  (or of congruent angles), then the two angles are
  congruent.
• If and are supplements and
  and are supplements, then

4
Theorems

• Theorem 2.3 Congruent Complements Theorem
• If two angles are complements of the same angle
  (or of congruent angles), then the two angles are
  congruent.
• Theorem 2.4 All right angles are congruent.
• Theorem 2.5 If two angles are congruent and
  supplementary, then each is a right angle.

5
More Practice!!!!!

• Classwork p. 124 127 6 12, 16, 17, 20
  22, 26 29, 33 35 ALL.
• Homework Finish classwork.