Warm Up 9/20/12 Solve for x and y 1.2.
Practice from Yesterday k || m If m 2 = 3x – 7 and m 5 = 2x + 4, find x and m j k m
Yesterday we learned about the Corresponding Angles Postulate Who can remind the class what that is “If a transversal intersects two parallel lines, then corresponding angles are congruent.” What would the converse of this statement be?
Converse of the Corr. Angles Post. Postulate 3-2 “If two lines and a transversal form corresponding angles that are congruent, then the two lines are parallel.
Converse of the Alternate Interior Angles Theorem Postulate 3-3 “If two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel.
Converse of the Same-Side Interior Angles Theorem Postulate 3-4 “If two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parallel.
Review We’ve now learned six theorems and postulates in this unit. Talk to your partner to see if you can recall what the six theorems and postulates say. Sketch a picture of each
Flow Charts! Yesterday we saw two-column proofs in action. (Wasn’t it great?!) Another form of proof is called the flow proof. In this form, arrows show the logical connection between the statements. Reasons are written below the statements.
Example
ff Which Lines, if any, must be parallel if angle 3 and 4 are congruent?
Relating Parallel and Perpendicular Lines ff
Using Algebra
Classwork Practice 3-2 #1-7
Homework Finish Practice 3-2 “3-4 Practice”