110 likes | 235 Views
Congruent Triangles. To be or not to be congruent That is the question?. Always form congruent triangles. SSS – Side Side Side ASA - Angle Side Angle SAS - Side Angle Side AAS - Angle Angle Side Hyp – S - Hypotenuse - Leg. SSS
E N D
Congruent Triangles To be or not to be congruent That is the question?
Always form congruent triangles SSS – Side SideSide ASA - Angle Side Angle SAS - Side Angle Side AAS - Angle Angle Side Hyp – 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 AngleAngle
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 SideSide ASA - Angle Side Angle SAS - Side Angle Side AAS - Angle Angle Side Hyp – S - Hypotenuse – Leg Not These • SSA – Side Side Angle • AAA – Angle AngleAngle