Congruent Triangles with Algebra

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and the non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

If two triangles are congruent, what can be said about their corresponding angles?

Back

Their corresponding angles are equal.

Front

If triangle ABC is congruent to triangle DEF, what can be concluded about their sides?

Back

The lengths of corresponding sides are equal: AB = DE, BC = EF, AC = DF.

Front

What is the significance of solving for x in congruent triangles?

Back

Solving for x helps determine the lengths of sides or measures of angles that make the triangles congruent.

Front

How can you prove two triangles are congruent using SSS?

Back

By showing that all three sides of one triangle are equal to the three sides of another triangle.

Front

What is the formula for the sum of angles in a triangle?

Back

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

Front

If triangle MAS is congruent to triangle REN, what can be inferred about their areas?

Back

The areas of the two triangles are equal if they are congruent.

Front

What is the relationship between corresponding sides of congruent triangles?

Back

The lengths of corresponding sides of congruent triangles are equal.

Front

How do you determine the value of x in congruent triangles?

Back

By setting up equations based on the properties of congruent triangles and solving for x.