Congruent Polygons

Front

What are congruent polygons?

Back

Polygons that have the same shape and size. Their corresponding sides and angles are equal.

Front

What is the symbol used to denote congruence?

Back

The symbol '≅' is used to denote that two figures are congruent.

Front

If two triangles are congruent, what can be said about their corresponding angles?

Back

Their corresponding angles are equal.

Front

What is a congruence statement?

Back

A statement that shows two figures are congruent, typically written in the form of 'Figure A ≅ Figure B'.

Front

What does it mean if ∆ABC ≅ ∆DEF?

Back

It means that triangle ABC is congruent to triangle DEF, indicating that their corresponding sides and angles are equal.

Front

How can you determine if two polygons are congruent?

Back

By checking if their corresponding sides and angles are equal.

Front

What is the importance of the order of letters in a congruence statement?

Back

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

Front

If ∆XYZ ≅ ∆PQR, what can be inferred about ∠Y and ∠Q?

Back

∠Y ≅ ∠Q, as they are corresponding angles in the congruent triangles.

Front

What is the Side-Angle-Side (SAS) Congruence Postulate?

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 Postulate?

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.