Congruent Triangles Flashcard

Front

Congruence means having the same shape and ___?

Back

size

Front

If \( \Delta ABC \cong \Delta FED \), then \( \angle C \cong \) ____?

Back

\( \angle F \) or \( \angle D \)

Front

Are these two triangles congruent? If so, how? (Triangle A and Triangle B)

Back

Yes, by ASA (Angle-Side-Angle)

Front

State if the two triangles are congruent. If they are, state which theorem you would use. (Triangle A and Triangle B)

Back

Yes, SAS (Side-Angle-Side)

Front

Name the postulate, if possible, that makes the triangles congruent. (Triangle A and Triangle B)

Back

SSS (Side-Side-Side)

Front

What does the SSS postulate 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 postulate 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 ASA postulate 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 is the definition of congruent triangles?

Back

Triangles that are identical in shape and size.

Front

What is the HL theorem?

Back

The Hypotenuse-Leg theorem states that 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.