Congruent Triangles

Front

What are congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What is the AAS (Angle-Angle-Side) congruence criterion?

Back

The AAS criterion states that if two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle, then the two triangles are congruent.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is the SSS (Side-Side-Side) congruence criterion?

Back

The SSS criterion states that if all three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

Front

What is the SAS (Side-Angle-Side) congruence criterion?

Back

The SAS criterion states that if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle, then the two triangles are congruent.

Front

What is the HL (Hypotenuse-Leg) congruence criterion?

Back

The HL criterion applies to right triangles and states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

How can you determine if two triangles are congruent using the properties of their angles?

Back

If two angles of one triangle are equal to two angles of another triangle, the third angles must also be equal, making the triangles congruent by the AA (Angle-Angle) criterion.

Front

What is the difference between congruent and similar 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 importance of congruence in geometry?

Back

Congruence is important in geometry as it helps in proving the equality of shapes, solving problems related to triangles, and establishing relationships between different geometric figures.

Front

What is a corresponding part in congruent triangles?

Back

Corresponding parts in congruent triangles are the sides and angles that match up when the triangles are superimposed on each other.