Corresponding Parts of a Triangle

Front

What are corresponding parts of a triangle?

Back

Corresponding parts of a triangle refer to angles and sides that are in the same relative position in two congruent triangles.

Front

If ∆ABC ≅ ∆XYZ, what can we say about the angles?

Back

The corresponding angles are equal: ∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z.

Front

If two triangles are congruent, what can we conclude about their sides?

Back

The corresponding sides are equal in length.

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' means 'is congruent to'.

Front

If ∆SOK ≅ ∆LMT, what is true about ∠K?

Back

∠K ≅ ∠T.

Front

If ∆TAG ≅ ∆WID, what is true about TA?

Back

TA ≅ WI.

Front

What is the relationship between corresponding sides and angles in congruent triangles?

Back

In congruent triangles, corresponding sides are equal in length and corresponding angles are equal in measure.

Front

If AB = AZ in congruent triangles, what can we infer about the triangles?

Back

The triangles are congruent.

Front

What is the definition of congruence in triangles?

Back

Two triangles are congruent if all their corresponding sides and angles are equal.

Front

How can you determine if two triangles are congruent?

Back

You can use criteria such as SSS (Side-Side-Side), SAS (Side-Angle-Side), or ASA (Angle-Side-Angle).