Download Congruence Theorem

Side-Side-Side (SSS)
Congruence Theorem
If in two triangles 3 sides of one triangle are
congruent to three sides of a 2nd triangle then the two
triangles are congruent.
Side-Angle-Side (SAS)
Congruence Theorem
If, in two triangles, 2 sides and the included angle of
one triangle are congruent to two sides and the same
included angle of a 2nd triangle then the two triangles
are congruent.
Angle-Side-Angle (ASA)
Congruence Theorem
If, in two triangles, 2 angles and the included side of
one triangle are congruent to two angles and the
included side of a 2nd triangle then the two triangles
are congruent.
Side-Angle-Angle (SAA)
Congruence Theorem
If, in two triangles, 2 angles and a non-included
side of one triangle are congruent to two angles
and a non-included side of a 2nd triangle then the two
triangles are congruent.
Isosceles Triangle Base Angle
Theorem (ITBAT)
If two sides of a triangle are congruent, then the
angles opposite them are congruent.
Isosceles Triangle Base Angle
Theorem Converse
(ITBAT Converse)
Corresponding Parts of Congruent
Figures Theorem (CPCF)
If two angles of a triangle are congruent, then the
sides opposite them are congruent.
When triangles are congruent, all of their
corresponding parts are congruent
SIDE-side-Angle (SsA)
Congruence Theorem
If two sides and the angle opposite the longer of the
two sides in one triangle are congruent, respectively,
to two sides and the corresponding angle in another
triangle, then the triangles are congruent.
Hypotenuse-Leg (HL)
Congruence Theorem
If, in two right triangles, the hypotenuse and the leg of
one right triangle are congruent to the hypotenuse
and the corresponding leg of a 2nd right triangle then
the two triangles are congruent.
Parallelogram Theorem
In any parallelogram:
a) opposite sides are congruent
b) opposite angles are congruent
c) the diagonals intersect at their midpoints