Practice Triangle Congruence

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What does the ASA theorem stand for?

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, then the triangles are congruent.

Front

What does the AAS theorem stand for?

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, then the triangles are congruent.

Front

What does the SAS theorem stand for?

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, then the triangles are congruent.

Front

What does the SSS theorem stand for?

Back

SSS stands for Side-Side-Side, which states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the HL theorem?

Back

HL stands for Hypotenuse-Leg, which is a specific case for 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

What is the SSA condition?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence because it can lead to ambiguous cases where two different triangles can be formed.

Front

What does NEI stand for in triangle congruence?

Back

NEI stands for Not Enough Information, indicating that there is insufficient data to determine if the triangles are congruent.

Front

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

Back

To prove triangles are congruent using the ASA theorem, you need to show that two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

Front

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

Back

To prove triangles are congruent using the AAS theorem, you need to show that two angles and a non-included side of one triangle are equal to the corresponding two angles and non-included side of another triangle.