Download Frequently Used Reason Congruence Pfs

Frequently Used Reasons in Congruent Triangle Proofs
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Reflexive Property (A segment or angle is ≅ to itself.)
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Substitution Property (A quantity may be substituted for an
equal quantity in an equation or inequality.)
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Perpendicular lines form right angles.
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Right angles are ≅.
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Vertical angles are ≅.
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Angles that form a linear pair are supplementary.
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Supplements of congruent angles≅.are
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If two sides of a triangle are ≅, the angles opposite these sides are ≅.
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If two angles of a triangle are ≅, the sides opposite these angles are ≅.
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Base angles of an isosceles triangle are ≅.
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An angle bisector divides an angle into 2 ≅ parts.
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A segment bisector divides a segment into 2 ≅ parts.
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A midpoint divides a segment into 2 ≅ parts.
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Corresponding parts of congruent triangles are congruent. (CPCTC)
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A triangle with a right angle is a right triangle. (needed for HL pfs.)
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A triangle with 2 ≅ sides is an isosceles triangle.
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A triangle with 2 ≅ angles is an isosceles triangle.
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If two lines are cut by a transversal such that alternate interior
(corresponding) angles are ≅, the lines are parallel.