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Liner Pair and Vertical Angles. Linear Pair Conjecture. On a sheet of paper, draw line PQ and place a point R between P and Q. Choose another point S not on the line and connect R to S. You created a linear pair of angles.
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Linear Pair Conjecture • On a sheet of paper, draw line PQ and place a point R between P and Q. Choose another point S not on the line and connect R to S. You created a linear pair of angles. • Use your protractor to measure each angle, and find the sum of them. What do you notice? Look at your partners. What do you notice?
Linear Pair Conjecture: If two angles form a liner pair, then the angles add up to 180 degrees.
Vertical Angles Conjecture • Draw two intersecting lines on your paper. Identify which angles are vertical. • Fold your paper so that the vertical angles lie over each other. What do you notice about their measures?
Vertical Angles Conjecture If two angles are vertical angles, then they are congruent.