Proving Triangles Congruent

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theorem: if two angles of one triangle are congruent to two angles of a second triangle, then the third angles are also congruent
base angles converse: if two angles of a triangle are congruent, then the sides opposite them are congruent
ASA postulate: if two angles and the included side of one triangle are congruent to two angles and the included side of the second, the triangles are congruent
hypotenuse-leg theorem: if a hypotenuse and leg of a right triangle are congruent to a hypotenuse and a leg of a second right triangle, then the triangles are congruent
theorem: the acute angles of a right triangle are complementary
exterior angles theorem: the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles
reflexive property: every triangle is congruent to itself
cpctc: corresponding parts of congruent triangles are congruent
base angles theorem: if two sides of a triangle are congruent, then the angles opposite them are congruent
symmetric property: if triangle ABC is congruent to triangle PQR, then triangle PQR is congruent to triangle ABC
corollary: if a triangle is equiangular, it is also equilateral
theorem: the sum of the angles of a triangle is 180 degrees
SSS postulate: if three sides of one triangle are congruent to three sides of a second, the triangles are congruent
transitive property: if triangle ABC is congruent to triangle PQR and triangle PQR is congruent to triangle TUV, then triangle ABC is congruent to triangle TUV
corollary: if a triangle is equilateral, it is also equiangular
theorem: the measure of the exterior angle of a triangle is greater than the measures of either of the two remote interior angles
SAS postulate: if two sides and the included angle of one triangle are congruent to two sides and the included angle of the second, the triangles are congruent
AAS theorem: if two angles and the nonincluded side of one triangle are congruent to two angles and the nonincluded side of a second, then the triangles are congruent

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Deck Info

Number of cards 18