Warm-Up  Find the measure of all angles possible. 112º138º 2. 1.

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Note to USER This is an interactive PowerPoint. Students would have 2 pieces of patty paper, and a ½ sheet of paper with 2 parallel lines drawn cut by.
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Presentation transcript:

Warm-Up  Find the measure of all angles possible. 112º138º 2. 1.

2.6 Parallel Line Angles Objective Be able to understand the angles made by parallel lines.

Special Angles on Parallel Lines  Investigation 1) Angles on Parallel Lines  Step 1) Using a ruler, draw a pair of parallel lines on your paper.  Step 2) Draw a line that intersects both parallel lines (a transversal). Angles on Parallel Lines

Special Angles on Parallel Lines  Step 3) Label the Angles

Special Angles on Parallel Lines  Step 4) Place the patty paper over angles 1-4 and trace the intersecting lines and the four angles

Special Angles on Parallel Lines  Step 5) Slide the patty paper down to angles 5-8. What do you notice? 12 43

Special Angles on Parallel Lines KeywordConjectureSketch Corresponding Corresponding Angles are ___________. Angles (CA) Alternate InteriorAlternate Interior angles are __________. Angles (AIA) Alternate ExteriorAlternate Exterior angles are _________. Angles (AEA) congruent

Special Angles on Parallel Lines KeywordConjectureSketch Consecutive Interior Same Side Interior Angles Angles are _______________. Consecutive ExteriorSame side exterior angles Angles are ______________. Parallel lines If two parallel lines are cut by a transversal, then Conjecturecorresponding angles are ____________, alternate interior angles are ______________, and alternate exterior angles are ________________. supplementary congruent

Special Angles on Parallel Lines  If 2 lines are cut by a transversal to form pairs of congruent Corresponding Angles, congruent Alternate Interior Angles, congruent Alternate Exterior Angles, supplementary Consecutive interior angles, or supplementary exterior angles, then the lines are ________________. Converse of Parallel Lines Conjecture parallel

Converse lm n p

Summary  Name four sets of angles formed by two parallel lines cut by a transversal  Name one set of supplementary angles formed by two parallel lines cut by a transversal.

Classwork: page 130 #7 copy the picture q a c k s d 108 g h j i f e b 61 t 75 m n p 79

Homework  Pg 129 #1-3, 9-15  Pg. 140 #26

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