FINAL Congruent, Isosceles, Equilateral Triangles

Front

What is a congruent triangle?

Back

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

Front

Define an isosceles triangle.

Back

A triangle with at least two sides of equal length and the angles opposite those sides are also equal.

Front

What is an equilateral triangle?

Back

A triangle where all three sides are of equal length and all three angles are equal, each measuring 60 degrees.

Front

What does the ASA theorem state?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What information is needed to prove triangles congruent using the ASA theorem?

Back

Two angles and the included side must be known.

Front

What does the SAS theorem state?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What information is needed to prove triangles congruent using the SAS theorem?

Back

Two sides and the included angle must be known.

Front

What does the HL theorem state?

Back

If the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What information is needed to prove triangles congruent using the HL theorem?

Back

The hypotenuse and one leg of the right triangles must be known.

Front

What is the significance of corresponding parts in congruent triangles?

Back

Corresponding parts of congruent triangles are equal, which means if triangles are congruent, their corresponding sides and angles are also equal.