Congruent Parts

Front

What does it mean for two shapes to be congruent?

Back

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

Front

What symbol is used to denote congruence?

Back

The symbol for congruence is ≅.

Front

If ∠A ≅ ∠B, what can we say about their measures?

Back

The measures of ∠A and ∠B are equal.

Front

What is the congruency statement for triangles?

Back

If triangle ABC is congruent to triangle DEF, it can be written as △ABC ≅ △DEF.

Front

If two angles are congruent, what can we conclude about their relationship?

Back

If two angles are congruent, they have the same measure.

Front

What does the symbol ≠ represent?

Back

The symbol ≠ means 'not equal to' and indicates that two values are different.

Front

If ∠E ≅ ∠A, what can we infer about ∠E?

Back

∠E has the same measure as ∠A.

Front

How can you determine if two triangles are congruent?

Back

Two triangles can be determined to be congruent if their corresponding sides and angles are equal, using criteria like SSS, SAS, ASA, AAS, or HL.

Front

What is the significance of the congruency statement in geometry?

Back

A congruency statement provides a way to express that two geometric figures are identical in shape and size.

Front

If triangle XYZ is congruent to triangle PQR, what can we say about their corresponding angles?

Back

The corresponding angles of triangle XYZ and triangle PQR are equal.