Congruent 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

What does the SSS congruence theorem state?

Back

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does the SAS congruence 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 does the HL congruence 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 is the SSA condition in triangle congruence?

Back

Side-Side-Angle condition; it does not guarantee triangle congruence.

Front

Back

It indicates that triangle ABC is congruent to triangle EDC, meaning all corresponding sides and angles are equal.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the purpose of proving triangles are congruent?

Back

To establish that two triangles are identical in shape and size, which can be used in various geometric proofs and applications.

Front

What is the definition of corresponding parts in congruent triangles?

Back

The sides and angles of one triangle that match with the sides and angles of another triangle.