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LT 3.1: Identify parallel lines, perpendicular lines, skew lines and angles formed by two lines and a transversal.

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Presentation on theme: "LT 3.1: Identify parallel lines, perpendicular lines, skew lines and angles formed by two lines and a transversal."— Presentation transcript:

1 LT 3.1: Identify parallel lines, perpendicular lines, skew lines and angles formed by two lines and a transversal

2

3 Math Humor Line l: “Look out! You almost intersected me!!”
Line m: “Well skew’s me!!!”

4 Identify each of the following.
1) One pair of perpendicular segments. 2) One pair of skew 3) One pair of parallel segments. 4) One pair of parallel planes.

5 Transversal: a line that intersects two coplanar lines at two distinct points.
Line t is the transversal of lines a and b. t A b

6 Corresponding angles: angles that lie on the
same side of the transversal and in corresponding positions

7 a b Alternate interior angles: nonadjacent interior
angles that lie on the opposite sides of the transversal a b t

8 a b Alternate exterior angles: nonadjacent exterior
angles that lie on the opposite sides of the transversal a b t

9 Same-side interior angles: interior angles
that lie on the same side of the transversal  

10 Example 2: Classifying Pairs of Angles
Give an example of each angle pair. A. corresponding angles B. alternate interior angles C. alternate exterior angles D. same-side interior angles

11 Example 3: Identifying Angle Pairs and Transversals
Identify the transversal and classify each angle pair. A. 1 and 3 B. 2 and 6 C. 4 and 6 n m

12 Before you leave… Given: <1 and <2 are supplementary, <1 and <3 are vertical angles Prove: <2 and <3 are supplementary


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