Download - Congruent Triangles
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CONGRUENT TRIANGLES
To be or not to be congruentThat is the question?
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Always form congruent triangles
SSS – Side Side SideASA - Angle Side AngleSAS - Side Angle SideAAS - Angle Angle SideHyp – 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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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
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May NOT form Congruent Triangles
SSA – Side Side Angle AAA – Angle Angle Angle
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SSA Two triangles with two sides and a
non-included 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.
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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