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
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SSS
If three sides of one triangle are congruent to
three sides of a second triangle, the two
triangles are congruent.
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
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.
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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.
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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.
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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
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SSA – Side Side Angle
AAA – Angle Angle Angle
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SSA
Two triangles with two sides and a nonincluded angle equal may or may not be
congruent.
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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