Liner Pair and Vertical Angles. Linear Pair Conjecture 0 On a sheet of paper, draw line PQ and place a point R between P and Q. Choose another point S.

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Presentation transcript:

Liner Pair and Vertical Angles

Linear Pair Conjecture 0 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. 0 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?

0 Linear Pair Conjecture: If two angles form a liner pair, then the angles add up to 180 degrees.

Vertical Angles Conjecture 0 Draw two intersecting lines on your paper. Identify which angles are vertical. 0 Fold your paper so that the vertical angles lie over each other. What do you notice about their measures?

0 Vertical Angles Conjecture If two angles are vertical angles, then they are congruent.

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