S ECTIONS 3.1 & 3.3 T RANSVERSALS & A NGLES 1/13

P ARALLEL L INES What do you know about parallel lines? How would you define parallel lines? H G D C A B E F 2/13

S KEW L INES H G D C A B E F Parallel lines (ll) – coplanar lines that do not intersect l ll m Skew lines – non-coplanar lines that do not intersect. Parallel Planes – Two planes that never intersect. l m 3/13

H G D C A B E F 1.Line AB & Line DC are ____________ 2.Line AB & Line EF are ____________ 3. Line BC & Line AH are ____________ 4.Plane ABC & Plane HGF are _________ 5.Line AC & Line HG are ___________ A)Parallel B)Skew P RACTICE 4/13

I NTERSECTING L INES When two lines intersect a number of angle types are formed, Vertical Angles & Linear Pairs. m t /13

Perpendicular Lines - Coplanar lines that intersect to form four right angles. (Symbol  ) P ERPENDICULAR L INES m h m h  6/13

T RANSVERSAL A transversal is a line, ray or segment that intersects two or more coplanar lines. m t g 7/13

A NGLES FORMED BY A TRANSVERSAL m t g CORRESPONDING ANGLES ALTERNATE INTERIOR ALTERNATE EXTERIOR CONSECUTIVE INTERIOR (SAME SIDE INTERIOR) CONSECUTIVE EXTERIOR (SAME SIDE EXTERIOR ) INTERIOR 8/13

A NGLES FORMED BY A TRANSVERSAL & PARALLEL LINES m t g CORRESPONDING ANGLES  1   5,  2   6,  3   7,  4   8 ALTERNATE INTERIOR  4 &  6,  3 &  5 ALTERNATE EXTERIOR  1 &  7,  2 &  8 CONSECUTIVE INTERIOR (SS INTERIOR)  4 &  5,  3 &  6 CONSECUTIVE EXTERIOR (SS EXTERIOR)  1 &  8,  2 &  INTERIOR m g | 9/13

P RACTICE m t g h m g | m  4 = 125  m  14 = 85  10/13

m t g 65  P RACTICE m g | 11/13

In the diagram below, and are parallel lines intersected by. What is the measure of ? P RACTICE 12/13

H OMEWORK 3.1 & 3.3 P – 17 P – 26 13/13