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 are the properties of 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 defines an equilateral triangle?

Back

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

Front

What is the AAS theorem in triangle congruence?

Back

The AAS (Angle-Angle-Side) theorem 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 is the SAA theorem in triangle congruence?

Back

The SAA (Side-Angle-Angle) theorem states that if two angles and a side opposite one of those angles in one triangle are equal to two angles and the corresponding side in another triangle, then the triangles are congruent.

Front

Back

Front

How do you find the value of x in triangle problems?

Back

To find the value of x, use the properties of triangles, such as the sum of angles in a triangle being 180 degrees or the congruence theorems.

Front

What is the significance of triangle congruence statements?

Back

Front

What does it mean if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion, but they do not have to be congruent.

Front

What is the relationship between the angles in an isosceles triangle?

Back

In an isosceles triangle, the angles opposite the equal sides are also equal.