Parallel Lines & Transversals

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Presentation transcript:

Parallel Lines & Transversals

Transversal A line, ray, or segment that intersects 2 or more COPLANAR lines, rays, or segments. transversal transversal Parallel lines Non-Parallel lines

INTERIOR –The space INSIDE the 2 lines EXTERIOR -The space OUTSIDE the 2 lines exterior

Special Angle Relationships Angles <3 & <6 <4 & <5 <3 & <5 <4 & <6 1 4 2 6 5 7 8 3 Angles <2 & <6 <3 & <7 <1 & <4 <6 & <7

Special Angle Relationships WHEN THE LINES ARE PARALLEL ♥Alternate Angles are CONGRUENT ♥Vertical Angles ♥Co-Interior Angles are SUPPLEMENTARY ♥Corresponding Angles are CONGRUENT 1 4 2 6 5 7 8 3 If the lines are not parallel, these angle relationships DO NOT EXIST.

Let’s Practice m<1=120° Find all the remaining angle measures. 1 4 6 5 7 8 3 m<1=120° Find all the remaining angle measures. 120° 60° 120° 60° 120° 60° 120° 60°

Another practice problem 40° Find all the missing angle measures, and name the postulate or theorem that gives us permission to make our statements. 120°

Assignment Pg 52, #2