Triangle Congruency

Front

What does SSS stand for in triangle congruency?

Back

Side-Side-Side: A postulate stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruency?

Back

Angle-Side-Angle: A postulate stating that if two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle, the triangles are congruent.

Front

What does HL stand for in triangle congruency?

Back

Hypotenuse-Leg: A theorem used to prove the congruence of two right triangles if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

What does SSA stand for in triangle congruency?

Back

Side-Side-Angle: This configuration does not guarantee triangle congruency and is often referred to as the 'Ambiguous Case'.

Front

What is required to prove triangles are congruent using the SSS postulate?

Back

All three corresponding sides of the triangles must be equal.

Front

What is required to prove triangles are congruent using the ASA postulate?

Back

Two angles and the side between them must be equal in both triangles.

Front

What is required to prove triangles are congruent using the HL theorem?

Back

The hypotenuse and one leg of a right triangle must be equal to the hypotenuse and one leg of another right triangle.

Front

What is the congruency statement for ΔABC ≅ ΔDEF if they are congruent by SAS?

Back

ΔABC ≅ ΔDEF by SAS means two sides and the angle between them are equal.

Front

If two triangles have two angles equal, what can be said about the third angle?

Back

The third angle must also be equal due to the Angle Sum Property of triangles.

Front

What is the Angle Sum Property of a triangle?

Back

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