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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

4. Proving Angle Relationships

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Exercise 18 Page 305

Use the Reflexive Property of Equality.

Statements	Reasons
1. ∠ 1	1. Given
2. m ∠ 1 = m∠ 1	2. Reflexive Property of Equality
3. ∠ 1 ≅ ∠ 1	3. Definition of Congruent Angles

Practice makes perfect

Let's begin by remembering that the Reflexive Property of Congruence states that any angle is congruent to itself. Hence, we need to start with an arbitrary angle ∠ 1 and prove that ∠ 1 ≅ ∠ 1.

Given: & ∠ 1 Prove: & ∠ 1 ≅ ∠ 1 Let's make the proof using a two-column proof table.

Statements	Reasons
1. ∠ 1	1. Given
2. m ∠ 1 = m∠ 1	2. Reflexive Property of Equality
3. ∠ 1 ≅ ∠ 1	3. Definition of Congruent Angles

Subchapter links

Exercises p.304-307