warmup What is the complement of the supplement

warmup What is the complement of the supplement of a 134 degree angle? After the warmup get 4 different colored markers to share with your partner.

Section 3. 1: Properties of Parallel Lines EQ: What are the properties of parallel lines?

Transversal A transversal is a line that intersects two coplanar lines at 2 distinct points.

Types of angles: Alternate Interior: angles between two lines that are on opposite sides of the transversal Same-side interior: angles between two lines on the same side of transversal Corresponding angles: angles in the Same general region 1 2 4 4 3 3 5 8 6 6 7

More types of angles Alternate exterior angles: angles on opposite sides of the transversal on the outside of the two lines. Same-side exterior angles: angles on the same side of the transversal on the outside of the two lines.

Postulate 3 -1 If a transversal intersects 2 parallel lines, then corresponding angles are congruent.

Theorem 3 -1 If a transversal intersects 2 parallel lines, then the alternate interior angles are congruent. (corresponding angles are congruent). Prove m<3=m<1 3 1 4 m<1=m<4 m<4=m<3 m<3=m<1 Corres. angles Vertical angles substitution

Special pairs of angles are supplementary or congruent. Use the picture to help you guess… Corrs. <‘s are ______ Alt. int. <‘s are _____ Same-side int. <‘s are ______ Same-side ext. <‘s are ______ Alt. Ext. <‘s are _______

Hwk p. 131 -132, 1 -18, 26, 27