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:

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 a transversal.

w s r ) Place Patty Paper on Angles 1, 2, 3, and 4. 2) Trace Angles 1, 2, 3, and 4 onto Patty Paper. 3) Slide your Patty Paper down to angles 5, 6, 7, and 8.. What do you notice? Special Angles on Parallel Lines Directions:

Record your ideas in this box: Angles 1, 2, 3, and 4 are congruent to Angles 5, 6, 7, and 8. Angle 1 is congruent to Angle 5. Angle 2 is congruent to Angle 6. Angle 3 is congruent to Angle 7. Angle 4 is congruent to Angle 8. THE BIG QUESTION OF THE DAY

1 5 Investigation A: What would you call  1 and  5 ? Why? Are there other pairs of angles that are similar to this pair? A) Corresponding Angles B) Alternate Interior Angles C) Alternate Exterior Angles OTHERS ? Each pair of angles are _______________Congruent.

3 6 Investigation B: What would you call  3 and  6 ? Why? Are there other pairs of angles that are similar to this pair? A) Corresponding Angles B) Alternate Interior Angles C) Alternate Exterior Angles OTHERS ? Each pair of angles are_______________ Congruent. 4 5

2 7 Investigation C: What would you call  2 and  7 ? Why? Are there other pairs of angles that are similar to this pair? A) Corresponding Angles B) Alternate Interior Angles C) Alternate Exterior Angles OTHERS ? Each pair of angles are _______________ Congruent. 4 5

w s r Corresponding Angles_________ Alternate Interior Angles Alternate Exterior Angles 1 and 52 and 63 and 74 and 8 3 and 64 and 5 1 and 82 and 7

Parallel Lines Conjecture: If two parallel lines are cut by a transversal, then: The corresponding angles are __________________________. The alternate interior angles are __________________________. The alternate exterior angles are __________________________. CONGRUENT

The Converse of the Parallel Lines Conjecture: If two lines are cut by a transversal such that the corresponding angles are congruent, alternate interior angles are congruent, and the alternate exterior angles are congruent, then: The lines must be _______________________________. PARALLEL

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