Triangle Congruence Theorems

Front

What does the HL theorem stand for in triangle congruence?

Back

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

Front

What does the SSS theorem state?

Back

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

Front

What is the SAS theorem?

Back

SAS stands for Side-Angle-Side theorem, 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 ASA theorem indicate?

Back

ASA stands for Angle-Side-Angle theorem, 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

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

Back

No, two triangles cannot be congruent if they do not share any sides or angles.

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, show that all three sides of one triangle are equal to the three sides of another triangle.

Front

What is the significance of the included angle in the SAS theorem?

Back

The included angle in the SAS theorem is the angle formed between the two sides being compared; it must be equal for the triangles to be congruent.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.