Download PROVING ANGLES CONGRUENT

Geometry – Kinsey
Angle and Line Relationships
PROVING ANGLES CONGRUENT
CHAPTER 2, SECTION 6 OF CLASS TEXTBOOK (PG. 120 – 123)
Today’s Target:
VOCABULARY
postulate:
theorem:
THEOREMS
Vertical Angles Theorem:
Vertical angles are congruent.
Congruent Supplements Theorem:
Supplementary angles of the same (or congruent) angles are
congruent.
Congruent Complements Theorem:
Complementary angles of the same (or congruent) angles are
congruent.
Congruent Right Angles Theorem:
All right angles are congruent.
Supplementary Right Angles Theorem:
Two congruent and supplementary angles are right angles.
PROVING THE VERTICAL ANGLES THEOREM
Given: ∠1 and ∠3 are vertical angles
Prove: ∠1 ≅ ∠3
Statements
Evidence (or Reason)
Notes 3
USING THE VERTICAL ANGLES THEOREM
What is the value of 𝑥?
PROVE USING THE VERTICAL ANGLES THEOREM
Given: ∠1 ≅ ∠4
Prove: ∠2 ≅ ∠3
Statements
Evidence (or Reason)
PROVING THE CONGRUENT SUPPLEMENTS THEOREM
Given: ∠1 and ∠3 are supplementary
∠2 and ∠3 are supplementary
Prove: ∠1 ≅ ∠2
Statements
Evidence (or Reason)