University:
High School
Course:
High School Geometry
Academic year:

2021
Views:

125

Pages:

2
Author:

vc06672g3

Extra Practice 1. Complete the flowchart proof. Then write a two-column proof. Given: ∠ACB and ∠ACD are supplementary. ∠EGF and ∠ACD are supplementary. Prove: ∠ACB ≅ ∠EGF Flowchart Proof: Given: ∠ACB and ∠ACD are supplementary. Definition of Supplementary: m∠ACB + m∠ACD = 180° Given: ∠EGF and ∠ACD are supplementary. Definition of Supplementary: m∠EGF + m∠ACD = 180° Transitive Property: m∠ACB + m∠ACD = m∠EGF + m∠ACD Subtraction Property: Subtract ∠ACD from both sides. m∠ACB = m∠EGF Definition of ≅: ∠ACB ≅ ∠EGF Given: ∠ACB and ∠ACD are supplementary. ∠EGF and ∠ACD are supplementary. Prove: ∠ACB ≅ ∠EGF Two-Column Proof STATEMENTS REASONS ∠EGF and ∠ACD are supplementary Given ∠EGF + ∠ACD = 180° Definition of Supplementary ∠ACB and ∠ACD are supplementary Given ∠ACB + ∠ACD = 180° Definition of Supplementary ∠ACB + ∠ACD = ∠EGF + ∠ACD Substitution (or Transitive) ∠ACB = ∠EGF Subtract ∠ACD from both sides