Congruent Triangles

Front

What are congruent triangles?

Back

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

Front

If ∆LMK ≅ ∆LMT, what can be inferred about their corresponding angles?

Back

The corresponding angles are equal, so ∠K ≅ ∠T.

Front

What is the symbol used to denote congruence in geometry?

Back

The symbol for congruence is '≅'.

Front

What does it mean if two triangles are similar?

Back

Similar triangles have the same shape but not necessarily the same size; their corresponding angles are equal, and their sides are in proportion.

Front

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

Back

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

Front

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

Back

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

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, the triangles are congruent.

Front

If ∠A ≅ ∠M, what can be said about the triangles that contain these angles?

Back

The triangles may be congruent if the corresponding sides are also equal.

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

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

Front

What is the purpose of using congruence in geometry?

Back

Congruence helps in proving that two shapes are identical in size and shape, which is essential in various geometric proofs and applications.