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3.1  Identify Pairs of Lines and Angles. Parallel Lines Coplanar Do not intersect Segments and rays are parallel if they lie on parallel lines. A D C.

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Presentation on theme: "3.1  Identify Pairs of Lines and Angles. Parallel Lines Coplanar Do not intersect Segments and rays are parallel if they lie on parallel lines. A D C."— Presentation transcript:

1 3.1  Identify Pairs of Lines and Angles

2 Parallel Lines Coplanar Do not intersect Segments and rays are parallel if they lie on parallel lines. A D C B Triangles, like those above in red, indicate that 2 lines are parallel.

3 Parallel planes if they never intersect

4 A D E H G CB F

5 A D E H G CB F

6 Skew Lines: Do not intersect, but do not lie in the same plane. A D E H G CB

7 A D E H G CB F

8 A D E H G CB F

9 Parallel Postulate #13: Parallel Postulate If there is a line and a point not on the line,

10 Parallel Postulate #13: Parallel Postulate If there is a line and a point not on the line, then there is exactly one line through the point and parallel to the line

11 Perpendicular Postulate #14: Perpendicular Postulate If there is a line and a point not on the line, then there is exactly one line through the point and perpendicular to the line

12 Transversal; intersects 2 or more coplanar lines Corresponding Angles Same side of transversal Corresponding position

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14 Alternate Exterior Angles “Alternate”  opposite sides of transversal “Exterior”  outside of the two lines

15 Alternate Interior Angles “Alternate”  opposite sides of transversal “Interior”  inside of the two lines

16 Consecutive Interior Angles “Consecutive”  “together”; same side of the transversal “Interior”  inside of the two lines

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21 A#20: Page 150 #


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