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Geometry Notes. Lesson 2.1a Lines Cut By A Transversal LG.1.G.5 Explore, with and without appropriate technology, the relationship between angles formed by two lines cut by a transversal to justify when lines are parallel. Vocabulary.
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Geometry Notes Lesson 2.1a Lines Cut By A Transversal LG.1.G.5 Explore, with and without appropriate technology, the relationship between angles formed by two lines cut by a transversal to justify when lines are parallel
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
b a c Vertical Angles • Label by shading sets of vertical angles with the same color.
b a c Linear Pairs of Angles • Label by shading linear pairs of angles with the same color.
b a c Corresponding Angles • Label by shading sets of corresponding angles with the same color.
b a c Alternate Interior Angles • Label by shading sets of alternate interior angles with the same color.
b a c Alternate Exterior Angles • Label by shading sets of alternate exterior angles with the same color
b a c Same-Side Interior Angles • Label by shading sets of same-side interior angles with the same color.
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.
1 2 3 4 5 6 7 8 11 12 9 10 15 16 13 14 • 1 & 6 : ________ • 2 & 10 : _______ • 11 & 4 : _______ • 12 & 7 : _______ • 5 & 4 : _______ • 14 & 15: _______
6 2 1 3 4 5 8 9 10 11 7 12 13 14 • 2 & 7 : ______ • 3 & 5 : ______ • 7 & 14 : ______ • 8 & 2 : ______ • 13 & 7 : ______