Corresponding Parts of Congruent Triangles

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the Corresponding Parts of Congruent Triangles (CPCTC) theorem?

Back

CPCTC states that if two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.

Front

If ∆ABC ≅ ∆DEF, what can we say about side AB?

Back

Side AB corresponds to side DE.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal.

Front

If ∠A ≅ ∠D in congruent triangles, what can we conclude?

Back

Angle A corresponds to angle D.

Front

How do you denote that two triangles are congruent?

Back

You use the symbol '≅' followed by the names of the triangles in corresponding order.

Front

What is the significance of the order of letters in triangle congruence?

Back

The order of letters indicates which vertices correspond to each other in the congruent triangles.

Front

If ∆XYZ ≅ ∆TRS, which side corresponds to side YZ?

Back

Side YZ corresponds to side RS.

Front

What is the first step in proving triangles are congruent?

Back

Identify and show that at least one pair of corresponding sides or angles are equal.

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' represents congruence, meaning two figures are identical in shape and size.