2.2.3 Flowchart and Paragraph Proofs − Practice (continued)

3. Write a flowchart proof for the two-column proof. Given: m ∠ t = 5 ∙ m ∠ s Prove: m ∠ s = 30° Two-Column Proof 1.m ∠ t = 5 ∙ m ∠ s (Given) 2. ∠ t and ∠ s are supplementary (Lin. Pair Thm.)

4. Write a paragraph proof for the two-column proof. Given: m ∠ d = 125° and m ∠ r = 125° Prove: ∠ d ≅ ∠ r Two-Column Proof 1.m ∠ d = 125° (Given) 2.m ∠ r = 125° (Given) 3.m ∠ d = m ∠ r (Trans. Prop. of = ) 4. ∠ d ≅ ∠ r (Def. of ≅ ∠ s )

3.m ∠ t + m ∠ s = 180° (Def. of Supp. ∠ s ) 4. 5 ∙ m ∠ s + m ∠ s = 180° (Subst. Prop. of = )

5. 6 ∙ m ∠ s = 180° (Simplify.) 6.m ∠ s = 30° (Div. Prop. of = )

120

Made with FlippingBook - Online magazine maker