Unit 3 Calendar 9/27 Notes: Identify Pairs of Lines and Angles (3.1)

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3.1 Identify Pairs of Lines and Angles
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Unit 3 Calendar 9/27 Notes: Identify Pairs of Lines and Angles (3.1)   Assignment: Complete Cornell Notes Pep Rally 9/28 Notes: Compare Cornell Notes in Groups Assignment: pg. 150 #3-6, 11-14, 18-32 10/1 Notes: Use Parallel Lines and Transversals (3.2 & 3.3) 10/2 Activity: Angle Chaser Worksheet Assignment: pg. 157 #3-8, 23-33 odds pg. 165 #3-8 10/3 3.1-3.3 Quiz 10/4 Assignment: Algebra Review Worksheet - Find slopes and write equations of lines Pep Rally 10/5 Notes: Use Midpoint and Distance Formulas (1.3) Assignment: Complete Cornell Notes pg. 19 #17-21 odds, 25-33 odds, 43, 45 10/8 NO SCHOOL 10/9 1.3, 3.4 & 3.5 Review 10/10 1.3, 3.4, & 3.5 Quiz 10/11 Notes: Prove Theorems about Perpendicular Lines (3.6) 10/12 Activity: Proofs Assignment: pg. 194 #5-17 odds, 31 10/15 Review 10/16 Unit 3 Test

Setting up cornell notes Topic Don’t Write Notes Here Yet Write Notes Here

Identify Pairs of Lines and Angles Section 3.1

Definitions Two lines are parallel lines if they do not intersect and are coplanar. In other words , parallel lines do not intersect and run in the same direction. Two lines are skew lines if they do not intersect and are not coplanar. In other words, skew lines do not intersect but don’t run in the same direction. Two planes that do not intersect are called parallel planes.

Definitions Perpendicular lines are lines that intersect to form a right angle. Perpendicular planes are planes that intersect to form a right angle.

postulates Parallel Postulate If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line. Perpendicular Postulate If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line.

Angles A transversal is a line that intersects two or more coplanar lines at different points. Two angles are corresponding angles if they have corresponding positions. Two angles are alternate interior angles if they lie between the two lines and on opposite sides of the transversal.

angles Two angles are alternate exterior angles if they lie outside the two lines and on opposite sides of the transversal. Two angles are consecutive interior angles if they lie between the two lines and on the same side of the transversal. Two angles are consecutive exterior angles if they lie outside the two lines and on the same side of the transversal.

Assignment Go back and look at your notes 1. Underline or highlight important terms 2. Write questions to yourself in the left-hand column next to main ideas 3. Cross out or erase any unneeded information and fill in any gaps that you missed. 4. Write a 2-4 sentence summary at the bottom of your notes. This will be checked for a homework grade tomorrow.