Do Now Flashcard: Proving Triangles Congruent

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem stating that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem stating that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem applicable to right triangles stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

Which theorem is NOT a valid congruence theorem?

Back

SSA is NOT a valid congruence theorem.

Front

If two triangles are congruent by ASA, what information do you have?

Back

You have two angles and the included side of one triangle equal to two angles and the included side of another triangle.

Front

What is the significance of sharing a side in triangle congruence?

Back

If two triangles share a side, it can help establish congruence using the SSS theorem.

Front

Can two triangles be proven congruent if they are not congruent by any of the theorems?

Back

No, if they do not meet the criteria of any congruence theorem, they cannot be proven congruent.

Front

What is the conclusion if two triangles have all three sides equal?

Back

The triangles are congruent by the SSS theorem.