Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a method to prove triangles are congruent if two angles and the non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; a method to prove triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a method to prove triangles are congruent if two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

All corresponding angles in congruent triangles are congruent.

Front

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

Back

All corresponding sides of congruent triangles are equal in length.

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

Measure all three sides of both triangles; if all three pairs of sides are equal, the triangles are congruent.

Front

What is the significance of the symbol '≅' in geometry?

Back

It denotes that two figures are congruent.

Front

If ∆ISR ≅ ∆TRS, what can be inferred about their corresponding angles?

Back

The corresponding angles of ∆ISR and ∆TRS are equal.

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles are the same size and shape, while similar triangles have the same shape but may differ in size.