Download Congruent tests for triangles.notebook

Congruent tests for triangles.notebook
December 05, 2012
Section 4.4 and 4.5: Tests for Congruent Triangles
In section 4.3: Show all three pairs of sides and all three pairs of angles are congruent to prove triangles are congruent.
What if you only have three sides congruent? Is it necessary to prove all angles are congruent too?
What if you only have three angles congruent? Do you need to show all three sides congruent?
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Congruent tests for triangles.notebook
December 05, 2012
Tests to prove triangles are congruent:
Side­Side­Side(SSS): If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
** no need to check angles**
Side­Angle­Side(SAS): If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
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Congruent tests for triangles.notebook
December 05, 2012
Angle­Side­Angle(ASA): If the two angles and included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
Angle­Angle­Side(AAS): If two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of another triangle, then the triangles are congruent.
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Congruent tests for triangles.notebook
December 05, 2012
Hypotenuse­Leg(HL): If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent.
Which tests prove triangles are congruent?
Which ones DO NOT prove congruent triangles?
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Congruent tests for triangles.notebook
December 05, 2012
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Congruent tests for triangles.notebook
December 05, 2012
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