Congruent Triangles
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Transcript Congruent Triangles
To be or not to be congruent
That is the question?
SSS – Side Side Side
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.
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
SSA – Side Side Angle
AAA – Angle Angle Angle
SSA
Two triangles with two sides and a nonincluded 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.
SSS – Side Side Side
ASA - Angle Side Angle
SAS - Side Angle Side
AAS - Angle Angle Side
Hyp – S - Hypotenuse – Leg
Not These
SSA – Side Side Angle
AAA – Angle Angle Angle