Triangle Congruence Theorems Flashcard

Front

What is the Angle-Angle-Side theorem?

Back

A theorem that states if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

In the Angle-Angle-Side theorem, where is the congruent side located?

Back

The congruent side is before the first congruent angle.

Front

What is the Hypotenuse-Leg theorem?

Back

A theorem that states if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

What does congruence mean in geometry?

Back

Congruence means that two figures have the same size and shape.

Front

What is a key feature of any right triangle?

Back

A right triangle has one right angle.

Front

Why does the Angle-Side-Side theorem not work for triangle congruence?

Back

The Angle-Side-Side theorem does not work because the congruent angles are not in between the congruent sides.

Front

What is the Side-Angle-Side (SAS) theorem?

Back

A theorem that states if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the Side-Side-Side (SSS) theorem?

Back

A theorem that states if all three sides of one triangle are congruent to all three sides of another triangle, then the two triangles are congruent.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.

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.