Congruent, Isosceles, Equilateral Triangles

Front

What is a congruent triangle?

Back

A triangle is congruent to another triangle if all three sides and all three angles are equal.

Front

What is an isosceles triangle?

Back

An isosceles triangle has at least two sides that are equal in length and the angles opposite those sides are equal.

Front

What is an equilateral triangle?

Back

An equilateral triangle has all three sides of equal length and all three angles measuring 60 degrees.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem that states 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 is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

If two angles of a triangle are 70 degrees and 50 degrees, what is the measure of the third angle?

Back

The third angle measures 60 degrees, calculated as 180 - (70 + 50).

Front

What is the definition of the base angles in an isosceles triangle?

Back

The base angles are the two angles opposite the equal sides of an isosceles triangle.

Front

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

Back

The SSS (Side-Side-Side) theorem 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 definition of an exterior angle in a triangle?

Back

An exterior angle is formed by one side of a triangle and the extension of an adjacent side.

Front

What is the relationship between an exterior angle and the two opposite interior angles?

Back

The exterior angle is equal to the sum of the two opposite interior angles.