Lesson 3.1 Lines Cut By A Transversal Geometry Notes Lesson 3.1 Lines Cut By A Transversal

Vocabulary Transversal – A line that intersects two or more coplanar lines at different points  Vertical Angles – non-adjacent, non-overlapping congruent angles formed by two intersecting lines . (They share a common vertex.)  Linear Pairs of Angles –two adjacent angles whose non-shared rays form a straight angle Corresponding Angles – angles that lie on the same side of the transversal and in corresponding positions relative to the parallel lines

Vocabulary Alternate Interior Angles – nonadjacent angles between the parallel lines that lie on opposite sides of the transversal Alternate Exterior Angles – nonadjacent angles outside the parallel lines that lie on opposite sides of the transversal Same-Side Interior Angles – angles that lie on the same side of the transversal and between the parallel lines

Vertical Angles Label by shading sets of vertical angles with the same color. a b c

Linear Pairs of Angles b a c Label by shading linear pairs of angles with the same color. a b c

Corresponding Angles b a c Label by shading sets of corresponding angles with the same color. a b c

Alternate Interior Angles Label by shading sets of alternate interior angles with the same color. a b c

Alternate Exterior Angles Label by shading sets of alternate exterior angles with the same color a b c

Same-Side Interior Angles Label by shading sets of same-side interior angles with the same color. a b c

Classifying Sets of Angles Given Two Transversals Classify the given angles as either: alternate-interior angles; same-side interior angles; alternate exterior angles; corresponding angles; vertical angles; or none of these.

Warm-Up 10/8/08 Use either: alternate-interior angles; same-side interior angles; alternate exterior angles; corresponding angles; vertical angles; or none of these. Name what type of angles these sets are: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 & 6 : ________ 2 & 10 : _______ 11 & 4 : _______ 12 & 7 : _______ 5 & 4 : _______ 14 & 15:

2 & 7 : ______ 3 & 5 : ______ 7 & 14 : ______ 8 & 2 : ______ 2 & 7 : ______ 3 & 5 : ______ 7 & 14 : ______ 8 & 2 : ______ 13 & 7 : ______ 11 6 1 2 3 4 5 7 8 9 10 12 13 14

Homework 10/6 Lesson 3-1 p.126 #22-47 (25probs)