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, the triangles are congruent.

Front

What is the SAS theorem in triangle congruence?

Back

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

Front

Define the ASA theorem in triangle congruence.

Back

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

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which states 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, the triangles are congruent.

Front

What is the HL theorem in triangle congruence?

Back

HL stands for Hypotenuse-Leg, which applies to right triangles and states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

How can you prove triangles are congruent using the SSS theorem?

Back

To prove triangles are congruent using the SSS theorem, you must show that all three sides of one triangle are equal to the three sides of another triangle.

Front

What additional information is needed to use the SSS theorem?

Back

You need to know the lengths of all three sides of both triangles to apply the SSS theorem.

Front

Can two triangles be congruent if they do not share any sides?

Back

No, two triangles cannot be congruent if they do not share any sides or if their corresponding sides are not equal.

Front

What is the significance of shared sides in triangle congruence?

Back

Shared sides can provide necessary information to prove triangles congruent, as they ensure at least one side is equal.