Postulates on Congruence Triangles

Which pair of triangles can be proven congruent using the Hypotenuse-Leg Theorem?

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Does HL work to prove the triangles are congruent?

• Yes

• No

True or False

These two triangles are congruent by HL.

(Think about our two questions)

• False

• True

Reorder the steps to the proof.

• Given

• Definition of right triangles

• Reflexive Property

• HL

∠A ≅∠?

• ∠B

• ∠E

• ∠D

• ∠F

State the POSTULATE or THEOREM that verifies if the pair of triangles are congruent, if possible.

• AAS

  Congruence Theorem

• ASA

  Congruence Postulate

• HyA

  Congruence Theorem

• Not Possible

State the POSTULATE or THEOREM that verifies if the pair of triangles are congruent, if possible.

• ASA

  Congruence Postulate

• HyA

  Congruence Theorem

• LA

  Congruence Theorem

• LL

  Congruence Theorem

State the POSTULATE or THEOREM that verifies if the pair of triangles are congruent, if possible.

• ASA

  Congruence Postulate

• HyA

  Congruence Theorem

• LA

  Congruence Theorem

• LL

  Congruence Theorem

State the POSTULATE or THEOREM that verifies if the pair of triangles are congruent, if possible.

• HyA

  Congruence Theorem

• HyL

  Congruence Theorem

• LA

  Congruence Theorem

• Not Possible

How do you know if it's an SSS postulate?

• if three sides of one triangle are congruent to the corresponding three sides of another triangle, then the triangles are congruent

• if two angles and any side (non-included) on one triangle are congruent to two angles and any side of another triangle, then the triangles are congruent