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Here are most of the reasons you can use when you are proving. You have to have legitimate reasons to prove. You can’t just say “because”. Midpoint- if M is the midpoint of a segment, then it divides the segment into two congruent segments. Right Angle- an angle that measure 90 degrees. Angle Bisector- a ray that divides an angle into two congruent angles. Congruent Triangles- two triangles are congruent only if all the corresponding sides and all the corresponding angles are congruent. Bisector- a shape that cuts another shape into two congruent segments. Perpendicular Lines- two lines that intersect and form right angles. Isosceles Triangle- a triangle with two congruent sides. CPCTC (corresponding parts in congruent triangles are congruent - According to the definition of congruent triangles. - If you can show that triangles are congruent then you can say that things are congruent by CPCTC!