Corresponding Parts of Congruent Triangles

Front

What are corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are angles and sides that are equal in measure when two triangles are congruent.

Front

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

Back

∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z.

Front

If AB ≅ XY, what does this imply about the triangles?

Back

It implies that the sides AB and XY are equal in length, which is a part of the congruence of the triangles.

Front

What is the congruence statement for triangles?

Back

A congruence statement lists the corresponding vertices of congruent triangles in order.

Front

How do you identify corresponding angles in congruent triangles?

Back

Corresponding angles are located in the same relative position in each triangle.

Front

What is the significance of the symbol '≅'?

Back

The symbol '≅' denotes that two figures are congruent, meaning they have the same shape and size.

Front

If ∠A ≅ ∠M, what can we conclude about triangles ∆ABC and ∆MNO?

Back

If ∠A ≅ ∠M, then the triangles may be congruent if all corresponding parts are equal.

Front

What is the relationship between corresponding sides in congruent triangles?

Back

Corresponding sides in congruent triangles are equal in length.

Front

What does the term 'congruence' mean in geometry?

Back

Congruence in geometry means that two figures have the same shape and size.

Front

If ∆PQR ≅ ∆XYZ, what can we say about side QR?

Back

Side QR is congruent to side YZ, meaning QR ≅ YZ.