Geometry Proofs Given, Conclusion, Reason
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