Geometry Proofs Given, Conclusion, Reason

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Perpendicular Bisector

CA: Right angles RA: Perpendicular lines form right angles CB: Congruent segments RB: Bisector divides segment into 2 congruent segments

Median

C: 2 congruent segments R: A median intersects a side of a triangle at its midpoint

Isosceles Triangle

C: 2 congruent sides and 2 congruent angles R: If 2 sides of a triangle are congruent, then the opposite angles are congruent

Parallel Lines

C: Congruent angles R: If lines are parallel , the (corresponding, alternate interior, alternate exterior) angles are congruent

Segment Bisector

C: Congruent segments R: A bisector divides a segment into 2 congruent segments

Midpoint

C: Congruent segments R: A midpoint divides a segment into 2 congruent segments

Altitude

C: Perpendicular lines R: An altitude is perpendicular to the segment it meets

Perpendicular Lines

C: Right angles R: Perpendicular lines form right angles

Intersecting Lines

C: Vertical angles R: If two angles are vertical then they are congruent


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