Chapter 3 Section 1 Properties of Parallel Lines.

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Presentation transcript:

Chapter 3 Section 1 Properties of Parallel Lines

Same-Side Interior Angles

 RULER  ONE PIECE OF PAPER  ONE PIECE OF GRAPH PAPER  ONE PIECE OF PARCHMENT PAPER  ONE MARKER OR PEN (PER PAIR!!)

 Partner 1: Manipulator ◦ You are in charge of the parchment paper  Partner 2: Recorder ◦ You are in charge of writing down any observations that the two of you make

m n Lines m and n are parallel.

1. List the pairs of corresponding angles 2. List the pairs of same-side interior angles 3. List the pairs of alternate interior angles 4. List the pairs of vertical angles

Put your piece of parchment paper on top of your drawing and trace the drawing exactly so you can put them on top of each other and compare. 5. Pick one pair of corresponding angles and lay them on top of each other. What do you notice? Will that work with a second pair of corresponding angles? 6. Repeat #5 with a pair of alternate-interior angles 7. Pick one pair of same-side interior angles and put them up next two each other so they are adjacent. What do you notice?

 Corresponding Angles Postulate: If two parallel lines are intersected by a transversal, then corresponding angles are equal in measure  Alternate Interior Angles Theorem: If two parallel lines are intersected by a transversal, then alternate interior angles are equal in measure  Same-Side Interior Angles Theorem: If two parallel lines are intersected by a transversal, then same- side interior angles are supplementary

 Alternate Exterior Angles Theorem: If two parallel lines are intersected by a transversal, then alternate exterior angles are equal in measure  Same-Side Exterior Angles Theorem: If two parallel lines are intersected by a transversal, then same- side exterior angles are supplementary

 In Groups of 4  Find the measures of all of the unknown angles (angles 1-8)

 Page 131 #5-7, 9, 11-16, 26, 30 Bring in your notebook!!!!

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