Proving Triangles Congruent

Front

What is the definition of congruent triangles?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side: A method to prove triangles congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle: A method to prove triangles congruent if two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side: A method to prove triangles congruent if two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What does HL stand for in triangle congruence?

Back

Hypotenuse-Leg: A method to prove right triangles congruent if the hypotenuse and one leg of one triangle are equal to the corresponding parts of another triangle.

Front

What is the significance of marked congruent angles and sides in triangles?

Back

Marked congruent angles and sides indicate which parts of the triangles can be used to prove congruence using the appropriate postulates or theorems.

Front

If two triangles have two sides equal and the included angle is not equal, can they be proven congruent?

Back

No, they cannot be proven congruent using SAS.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side to be between the two angles, while AAS does not require the side to be between the two angles.

Front

Can two triangles be congruent if only one angle and two sides are marked congruent?

Back

Not necessarily; the specific congruence criteria must be satisfied.

Front

What is the criteria for proving triangles congruent using HL?

Back

Both triangles must be right triangles, and the hypotenuse and one leg must be equal.