CONGRUENT TRIANGLES

To be or not to be congruentThat is the question?

Always form congruent triangles

SSS – Side Side SideASA - Angle Side AngleSAS - Side Angle SideAAS - Angle Angle SideHyp – S - Hypotenuse - Leg

SSS If three sides of one triangle are

congruent to three sides of a second triangle, the two triangles are congruent.

ASA If two angles and the included side

of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent.

SAS If two sides and the included angle

are congruent to two sides and the included angle of a second triangle, the two triangles are congruent.

AAS If two angles and a non included side

of one triangle are congruent to two angles and the corresponding non-included side of another triangle, the two triangles are congruent.

Hypotenuse - Leg

Hyp-S If the hypotenuse and the leg of one

right triangle are congruent to the corresponding parts of the second right triangle, the two triangles are congruent

May NOT form Congruent Triangles

SSA – Side Side Angle AAA – Angle Angle Angle

SSA Two triangles with two sides and a

non-included angle equal may or may not be congruent.

AAA If two angles on one triangle are

equal, respectively, to two angles on another triangle, then the triangles are similar, but not necessarily congruent.

Always form congruent triangles

SSS – Side Side SideASA - Angle Side AngleSAS - Side Angle SideAAS - Angle Angle SideHyp – S - Hypotenuse – LegNot These SSA – Side Side Angle AAA – Angle Angle Angle