Alternate Interior Angles

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Presentation transcript:

Alternate Interior Angles Corresponding Angles V E R T I C A L N G S Alternate Interior Angles Same Side Interior Angles Alternate Exterior Angles Supplementary Angles Complementary Angles

I can name and make conjectures about angle pairs formed by 2 lines and a transversal.

TRANSVERSAL A line that intersects two or more lines at two distinct points. a b t

Corresponding Angles Angles in matching corners t a b

t a b Alternate Interior Angles The pairs of angles on OPPOSITE sides of the transversal but INSIDE the two lines a b

t a b Alternate Exterior Angles The pairs of angles on OPPOSITE sides of the transversal but OUTSIDE the two lines a b

t a b Same Side Interior Angles The pair of angles on ONE SIDE of a transversal line and on the INSIDE of the two lines. t a b

t a b Same Side Exterior Angles The pair of angles on ONE SIDE of a transversal line and on the OUTSIDE of the two lines. t a b

TRANSVERSALS with PARALLEL LINES

Corresponding angles of parallel lines are congruent. a a || b b If corresponding angles are congruent, the lines are parallel.

Alternate Interior Angles of parallel lines are c d c || d t Alternate Interior Angles of parallel lines are congruent. If alternate interior angles are congruent, the lines are parallel.

t c c || d d If alternate exterior angles are Alternate Exterior Angles of parallel lines are congruent. If alternate exterior angles are congruent, the lines are parallel.

m m || n n If same side interior angles are Same side Interior Angles of parallel lines are supplementary. If same side interior angles are supplementary, the lines are parallel.

Transversals and Parallel Lines Congruent Alternate Interior Angles Alternate Exterior Angles Corresponding Angles Supplementary Same Side Interior Angles Same Side Exterior Angles

I can name and make conjectures about angle pairs formed by 2 lines and a transversal.