Triangle Congruence Theorems

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10 Terms

1
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Side Angle Side

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2
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Side Side Side

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Angle Side Angle

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4
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Angle Angle Side

Angle B is congruent to Angle D.

Angle BCA is congruent to Angle DCA

AC is congruent to AC

Triangle ABC is congruent to Triangle ADC

<p>Angle B is congruent to Angle D.</p><p>Angle BCA is congruent to Angle DCA</p><p>AC is congruent to AC</p><p>Triangle ABC is congruent to Triangle ADC</p>
5
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Hypotenuse Leg

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6
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Side Angle Side

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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Side Side Side

If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

8
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Angle Side Angle

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

9
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Angle Angle Side

If two angles and a nonincluded side of one triangle are congruent to the corresponding angles and nonincluded side of another triangle, then the triangles are congruent.

10
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Hypotenuse Leg

If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.