Proving Triangle Congruence

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Questions and Answers

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

  • SAS postulate
  • ASA postulate
  • AAS postulate
  • SSS postulate (correct)

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 (correct)
  • ASA postulate
  • SSS postulate
  • AAS postulate

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

  • AAS postulate
  • SAS postulate
  • SSS postulate
  • ASA postulate (correct)

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

<p>AAS postulate (A)</p> Signup and view all the answers

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

<p>SAS postulate (C)</p> Signup and view all the answers

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

<p>SSS (D)</p> Signup and view all the answers

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

<p>SAS (A)</p> Signup and view all the answers

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

<p>ASA (B)</p> Signup and view all the answers

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

<p>AAS (D)</p> Signup and view all the answers

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

<p>SAS (A)</p> Signup and view all the answers

Flashcards

SSS Postulate

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

SAS Postulate

If two sides and the included angle of one triangle are congruent to the corresponding two sides and included angle of another triangle, the triangles are congruent.

ASA Postulate

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

AAS Postulate

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

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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.

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