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Congruent Triangles

Congruent Triangles. To be or not to be congruent That is the question?. Always form congruent triangles. SSS – Side Side Side ASA - Angle Side Angle SAS - Side Angle Side AAS - Angle Angle Side Hyp – S - Hypotenuse - Leg. SSS

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Congruent Triangles

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  1. Congruent Triangles To be or not to be congruent That is the question?

  2. Always form congruent triangles SSS – Side SideSide ASA - Angle Side Angle SAS - Side Angle Side AAS - Angle Angle Side Hyp – S - Hypotenuse - Leg

  3. SSS • If three sides of one triangle are congruent to three sides of a second triangle, the two triangles are congruent.

  4. 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.

  5. 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.

  6. 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.

  7. 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

  8. May NOT form Congruent Triangles • SSA – Side Side Angle • AAA – Angle AngleAngle

  9. SSA • Two triangles with two sides and a non-included angle equal may or may not be congruent.

  10. 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.

  11. Always form congruent triangles SSS – Side SideSide ASA - Angle Side Angle SAS - Side Angle Side AAS - Angle Angle Side Hyp – S - Hypotenuse – Leg Not These • SSA – Side Side Angle • AAA – Angle AngleAngle

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