Congruence

Two figures that have the same shape and size are said to be congruent

If two triangles are congruent, all of their corresponding sides and angles are congruent

In a congruence statement, the vertices in the second polygon have to be written in order of correspondence with the first polygon

A correspondence is a way of matching up two sets of objects

We can start from any vertex to write the congruence statement

If two polygons are congruent, all their corresponding sides and angles are congruent

Use the congruence statement to identify corresponding sides

In a congruence statement, the vertices for each polygon are written in order of correspondence with the other polygon

For example, if a figure ABC ≅ DEF, then side AB = DE, BC = EF and so on. Similarly,

∠A = ∠D, ∠B = ∠E and so on