2.2.3 Flowchart and Paragraph Proofs − Worksheet

Example 1: 1. Use the given flowchart proof to write a two-column proof. Given: ∠ 1 ≅ ∠ 2 Prove: ∠ 1 and ∠ 2 are right angles. Flowchart proof:

∠ 1 ≅ ∠ 2

Given

∠ 1 and ∠ 2 are supplementary.

∠ 1 and ∠ 2 are right angles.

≅ supp. ∠ s → rt. ∠ s

Lin. Pair Thm.

2. Use the given two-column proof to write a flowchart proof. Given: ∠ 2 and ∠ 4 are supplementary.

1 2

Prove: m ∠ 2 = m ∠ 3 Two-column proof:

3 4

Statements

Reasons

1. Given 2. Lin. Pair Thm. 3. ≅ Supps. Thm. Steps 1, 2 4. Def. of ≅ ∠ s

1. ∠ 2 and ∠ 4 are supplementary. 2. ∠ 3 and ∠ 4 are supplementary. 3. ∠ 2 ≅ ∠ 3 4. m ∠ 2 = m ∠ 3

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