bell ringer 10-31-16 1. What do you know about triangles? How many degrees? Types? 2. What do you know about parallel lines? Their slopes? 2. What do you know about perpendicular lines? Their slopes?

angles & Lines Monday, October 31, 2016

angles What makes an angle acute? right? obtuse? straight? reflex?

angles What is the sum of the degrees of a linear angle pair? Are these angles complementary or supplementary?

Examples

angles What is it called when you cut an angle in half? Vertical Angle Theorem – What is true about vertical angles?

Examples PT bisects ∠T.

angles Angle Sum Theorem – How many degrees? Exterior Angle of a Triangle – How does it relate to the two remote interior angles?

Examples

lines How do you know if points are on a perpendicular bisector of a line segment? What is true about a midsegment?

Examples

parallel lines cut by a transversal

Linear Pair postulate p. 111 1 2

Example

vertical angles theorem p. 112 1 3

Example

alternate interior angles theorem p. 143 3 5

Example

alternate exterior angles theorem p. 143 1 7

Example

consecutive interior angles theorem p. 143 3 6

Example

consecutive exterior angles theorem 1 8

Example

corresponding angles postulate 1 5

Example

parallel lines cut by a transversal Converses are true…that’s how you can prove lines are parallel. (p. 150)

Examples

exit ticket What angle pairs are formed when parallel lines are cut by a transversal? Homework Parallel Lines cut by a Transversal STUDY Notes & Examples (will be tested even if not practiced on homework)