4-2 parallel lines and transversals -...
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Definition of TransversalIn a plane, a line is a transversal if and only if it intersects two or more lines, each at a different point. When transversal intersect two lines, eight angles are formed.
Interior Angles- lie between the two lines
Exterior Angles- lie outside the two lines
Alternate Interior Angles- interior angles
on opposite sides of the transversal
Consecutive Interior Angles-interior angles
on the same side of the transversal.
Alternate Exterior Angles- exterior angles
on the opposite sides of the transversal.
These angles are given special names:
When a transversal cuts two parallel lines, then following theorems apply:
Theorem 4-1 Alternate Interior Angles Thm.If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.
4-2 Parallel Lines and TransversalsTuesday, October 22, 2013
9:49 PM
Chapter 4 Page 1
Theorem 4-2 Consecutive Interior Angles Thm.If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary.
Theorem 4-3 Alternate Exterior Angles ThmIf two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent.
Ex. 1 Identify each pair of angles.
a) 3 and 5
b) 1 and 8
Ex. 2
Chapter 4 Page 2
Ex. 3
Ex. 4
Chapter 4 Page 3
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