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 a 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

If two triangles share a side, can they be proven congruent by SSS?

Back

Yes, if the two triangles share a side, they can be proven congruent by SSS, as the shared side counts as one of the three sides needed for the theorem.

Front

What is the criteria for proving triangles congruent using the ASA theorem?

Back

The criteria for ASA is that two angles and the included side of one triangle must be equal to two angles and the included side of another triangle.

Front

What is the criteria for proving triangles congruent using the SAS theorem?

Back

The criteria for SAS is that two sides and the included angle of one triangle must be equal to two sides and the included angle of another triangle.

Front

Can two triangles be congruent if only one angle and two sides are known?

Back

No, to prove congruence using the SAS theorem, the angle must be the included angle between the two sides.

Front

What is the significance of the shared side in triangle congruence?

Back

The shared side can help establish congruence by providing a common measurement that satisfies the conditions of the SSS theorem.