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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.
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1 2
3 4
5 6
7 8
1) 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?
2
6
3
7
4
8
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 AnglesB) Alternate Interior AnglesC) Alternate Exterior Angles
OTHERS?
Each pair of angles are _______________Congruent.
4
5
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3 4
5 6
7 8
Corresponding Angles ___________________________
__________________
_________
__________________
Alternate Interior Angles
Alternate Exterior Angles
1 and 5 2 and 6 3 and 7 4 and 8
3 and 6 4 and 5
1 and 8 2 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
CONGRUENT
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
