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3.1 Lines and Angles

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- 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.

B.

C.

D.

- 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.