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No Warmup

No Warmup. 1.)Grab two light-colored markers (up front) 2.) Have out your homework from last night 3.) Sit with your groups from yesterday. Section 3.1: Properties of Parallel Lines. EQ: What are the properties of parallel lines?. Transversal.

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No Warmup

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  1. No Warmup 1.)Grab two light-colored markers (up front) 2.) Have out your homework from last night 3.) Sit with your groups from yesterday

  2. Section 3.1: Properties of Parallel Lines EQ: What are the properties of parallel lines?

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

  4. 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 2 1 3 4 3 4 5 5 6 6 6 8 7

  5. 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.

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

  7. 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 4 m<1=m<4 Corres. angles 3 Vertical angles m<4=m<3 1 substitution m<3=m<1

  8. 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 _______

  9. Hwk (due Friday) p. 131-132, 1-18, 26,27

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