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# 3.1 Lines and Angles - PowerPoint PPT Presentation

3.1 Lines and Angles. Parallel Lines Coplanar lines that do not intersect. The symbol || means “is parallel to.”. 3.1 Lines and Angles. Skew Lines Are noncoplanar They are not parallel and do not intersect. 3.1 Lines and Angles. Parallel Planes Planes that do not intersect.

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Presentation Transcript

• Parallel Lines

• Coplanar lines that do not intersect.

• The symbol || means “is parallel to.”

• Skew Lines

• Are noncoplanar

• They are not parallel and do not intersect.

• Parallel Planes

• Planes that do not intersect.

• In the figure, assume that lines and planes that appear to be parallel are parallel.

• Which segments are parallel to AB?

• Which segments are skew to CD?

• What are two pairs of parallel planes?

• What are two segments parallel to plane BCGF?

• A transversal is a line that intersects two or more coplanar lines at distinct points.

• Angles 3, 4, 5, and 6 are lie inside of ℓ and m, so they are interior angles.

• Angles 1, 2, 7, and 8 lie outside of ℓ and m, so they are exterior angles.

• Alternate Interior Angles

• Nonadjacent interior angles that lie on opposite sides of the transversal.

• Same-Side Interior Angles

• Interior angles that lie on the same side of the transversal.

• Corresponding Angles

• Corresponding angles lie on the same side of the transversal t and are in corresponding positions.

• Alternate Exterior Angles

• Nonadjacent exterior angles that lie on opposite sides of the transversal.

• Name a pair of alternate interior angles.

• The photo shows the Royal Ontario Museum in Toronto, Canada. Are angles 1 and 3 alternate interior angles, same-side interior angles, corresponding angles, or alternate exterior angles?

• Corresponding Angles!

• Classwork – Textbook p. 144 #11 – 42 ALL!!

• Homework – Finish classwork.