Postulates on Congruence Triangles

Define: Side Side Side

• Two congruent corresponding sides and an excluded congruent corresponding angles

• Three congruent corresponding angles

• Three congruent corresponding sides

• Two congruent corresponding angles and an included congruent corresponding side

Define: Side Angle Side

• Two congruent corresponding sides and an excluded congruent corresponding angles

• Two congruent corresponding sides and an included congruent corresponding angles

• Two congruent corresponding angles and an excluded congruent corresponding side

• Two congruent corresponding angles and an included congruent corresponding sides

Which congruence postulate tells us that if the two sides and an included angle of one triangle are congruent to the corresponding two sides and the included angle of another triangle, then the two triangles are congruent?

• ASA Congruence Postulate

• SAS Congruence Postulate

• SSS Congruence Postulate

• None of these

Which congruence postulate tells us that if the two angles and an included side of one triangle are congruent to the corresponding two angles and the included side of another triangle, then the two triangles are congruent?

• ASA Congruence Postulate

• SAS Congruence Postulate

• SSS Congruence Postulate

• None of these

Which congruence postulate tells us that if the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent?

• ASA Congruence Postulate

• SAS Congruence Postulate

• SSS Congruence Postulate

• None of these

• ASA Congruence Postulate

• SAS Congruence Postulate

• SSS Congruence Postulate

• None of these

• 80⁰

• 100⁰

• 120⁰

• 150⁰

The triangles at right are congruent. Which of the following statements must be true?

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Are the triangles shown congruent?

• Yes, by HL

• Yes, by SAS

• Yes, by SSS

• Not enough information

Which postulate or theorem proves the triangle congruent?

• ASA: Angle Side Angle

• Not enough information

• AAA: Angle Angle Angle

• SSS: Side Side Side

• HL: Hypotenuse Leg