Bell work: Once bell work is completed, turn in, along with test corrections, and any homework you have.

Proof of the Congruent Complements Theorem

Proof that Right Angles are Congruent

Proof that congruent supplements are right angles

3.1: Lines and Angles

What is necessary for lines to intersect? Are there any pairs of lines which don’t intersect?

Parallel lines are coplanar lines that do not intersect Parallel lines are coplanar lines that do not intersect. Parallel lines have the same slope Skew Lines are non-coplanar. They are not parallel and do not intersect Parallel Planes are planes that do not intersect. Segments and Rays can also be parallel or skew

Identify the line relationships

When a line intersects two or more other lines… A Transversal is a line that intersects two or more COPLANAR lines at distinct points. Angles 3, 4, 5, and 6 are interior angles Angles 1, 2, 7, and 8 are exterior angles

3.2: Properties of Parallel Lines

Postulate 3-1 If a transversal intersects two parallel lines, then same-side interior angles are supplementary

Proof of Theorem 3.1

Using the same diagram and given statement, prove that angles 1 and 7 are congruent

Finding Angle Measures

Finding Angle Measures

Quiz 1 Retake

Homework 3.1, page 144: 21-24 3.2, pages 153-154: 7-9, 12-14, 18- 20 Honors: 3.1: 44 3.2: 24, 26