Proving Lines Parallel

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3.3 Proving Lines Parallel

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Presentation transcript:

Proving Lines Parallel We need to show congruent alternate interior angles, corresponding angles or alternate exterior angles. 6 C B D A 3 2 8 4 5 7 1 E F

Statement Reason 1. Given Pg. 5 #4 Statement Reason 1. Given 2. A segment bisector divides a segment into two congruent parts 3. Vertical angles are congruent 5. CPCTC 6. Two lines cut by a transversal that form congruent alternate interior angles are parallel

Statement Reason 1. Given 2. Given 3. Reflexive postulate 5. CPCTC Pg. 5 #6 Statement Reason 1. Given 2. Given 3. Reflexive postulate 5. CPCTC 6. Two lines cut by a transversal that form congruent alternate interior angles are parallel

Statement Reason 1. Given 2. Given Pg. 5 #7 Statement Reason 1. Given 2. Given 3. Angles opposite congruent sides of a triangle are congruent 4. Substitution Postulate 5. Two lines cut by a transversal that form congruent alternate interior angles are parallel

Statement Reason 1. Given 2. Given Pg. 5 #9 Statement Reason 1. Given 2. Given 3. Angles opposite congruent sides of a triangle are congruent 4. Substitution Postulate 5. Two lines cut by a transversal that form congruent corresponding angles are parallel

Statement Reason 1. Given 2. Given Pg. 6 #25 Statement Reason 1. Given 2. Given 3. Parallel lines cut by a transversal form congruent alternate interior angles 4. Reflexive Postulate 6. CPCTC 7. CPCTC 8. Two lines cut by a transversal that form congruent alternate interior angles are parallel