Proving Triangle Congruence

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10 Questions

Which postulate can be used to prove that two triangles are congruent if they have three sides that are congruent?

SSS postulate

Which postulate can be used to prove that two triangles are congruent if they have two sides and the included angle that are congruent?

SAS postulate

Which postulate can be used to prove that two triangles are congruent if they have angle-side-angle in that order?

ASA postulate

Which postulate can be used to prove that two triangles are congruent if they have angle-angle-side in that order?

AAS postulate

Which postulate can be used to prove that two triangles are congruent if they have two sides that are congruent and the included angle?

SAS postulate

Which postulate can be used to prove that two triangles are congruent if they have three sides that are congruent?

SSS

Which postulate can be used to prove that two triangles are congruent if they have two sides and the included angle that are congruent?

SAS

Which postulate can be used to prove that two triangles are congruent if they have angle-side-angle in that order?

ASA

Which postulate can be used to prove that two triangles are congruent if they have angle-angle-side in that order?

AAS

Which postulate can be used to prove that two triangles are congruent if they have two sides that are congruent and the included angle?

SAS

Study Notes

Congruent Triangles

  • SSS (Side-Side-Side) postulate: two triangles are congruent if they have three sides that are congruent.
  • SAS (Side-Angle-Side) postulate: two triangles are congruent if they have two sides and the included angle that are congruent.
  • ASA (Angle-Side-Angle) postulate: two triangles are congruent if they have angle-side-angle in that order.
  • AAS (Angle-Angle-Side) postulate: two triangles are congruent if they have angle-angle-side in that order.
  • SSA (Side-Side-Angle) postulate: two triangles are congruent if they have two sides that are congruent and the included angle.

Test your knowledge on proving triangle congruence with this quiz! Learn about the SSS, SAS, ASA, and AAS postulates and how they determine if two triangles are congruent. Master the concept of congruence and ace your geometry exams.

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