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3.1 Identify Pairs of Lines and Angles. Parallel Lines Have the same slope Can be contained in the same plane Are everywhere the same distance apart.

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Presentation on theme: "3.1 Identify Pairs of Lines and Angles. Parallel Lines Have the same slope Can be contained in the same plane Are everywhere the same distance apart."— Presentation transcript:

1 3.1 Identify Pairs of Lines and Angles

2 Parallel Lines Have the same slope Can be contained in the same plane Are everywhere the same distance apart

3 Parallel

4 Skew Lines Non intersecting Non parallel Can not be contained in the same plane

5 Skew

6 Perpendicular

7 Transversal A line that intersects two or more coplanar lines at different points

8 Postulates If there is a line and a point not on the line, then there is exactly one line through the point that will be parallel to the line If there is a line and a point not on the line, then there is exactly one line through the point that will be perpendicular to the line

9 Angle Positions Relative to Two Lines

10 Angles formed by transversals Alternate interior Alternate exterior Corresponding Consecuitive

11 Alternate interior angles = lie between the lines on opposite sides of the transversal Alternate Exterior = lie outside the lines on opposite sides of the transversal Corresponding = angles having corresponding positions Consecutive = lie between the lines on the same side of the transversal

12 Alternate Interior Angles

13 Alternate Exterior Angles

14 Consecutive Angles

15 Corresponding Angles


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