Parallel Lines and a Transversal Line

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Presentation transcript:

Parallel Lines and a Transversal Line m n t Parallel Lines and a Transversal Line

Alternate Interior Angles Interior Plane H If a transversal line passes through parallel lines the ALTERNATING INTERIOR ANGLES are CONGRUENT. Plane H Another pair of angles that could be described as Alternating Interior Angles. t m n 65 Interior 115 115 65 This pair would also be congruent.

Alternate Exterior Angles Exterior Exterior Plane H If a transversal line passes through parallel lines the ALTERNATING EXTERIOR ANGLES are CONGRUENT. Plane H Another pair of angles that could be described as Alternating Exterior Angles. t Exterior 115 65 m n 65 115 This pair would also be congruent. Exterior

Corresponding Angles Plane H If the transversal passes through parallel lines the CORRESPONDING ANGLES are CONGRUENT. Plane H There are 4 pairs of CORRESPONDING ANGLES. t 115 65 m n 65 115 115 65 65 115

Consecutive Interior Angles Interior Plane H If the transversal passes through parallel lines the CONSECUTIVE INTERIOR ANGLES are SUPPLEMENTARY. Plane H Another pair of angles that could be described as Consecutive Interior Angles. t m n 65 115 115 Interior + = 180 115 65 65 This pair would also be supplementary.

Consecutive Exterior Angles Exterior Exterior Plane H If the transversal passes through parallel lines the CONSECUTIVE EXTERIOR ANGLES are SUPPLEMENTARY. Plane H Another pair of angles that could be described as Consecutive Exterior Angles. t Exterior 115 65 65 m n + = 180 65 115 115 Exterior This pair would also be supplementary.