Congruent Triangles

Front

What are congruent triangles?

Back

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

Front

What does the symbol '≅' represent in geometry?

Back

It represents that two figures are congruent.

Front

What is the importance of the order of vertices in congruence statements?

Back

The order of vertices indicates which angles and sides correspond to each other in the triangles.

Front

If ∆ABC ≅ ∆DEF, what can we conclude about their corresponding angles and sides?

Back

Angle A = Angle D, Angle B = Angle E, Angle C = Angle F; Side AB = Side DE, Side BC = Side EF, Side AC = Side DF.

Front

What is the Angle-Angle (AA) criterion for triangle congruence?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are congruent.

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

If all three sides of one triangle are equal to all three sides of another triangle, the triangles are congruent.

Front

What is the Side-Angle-Side (SAS) criterion for triangle congruence?

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) criterion for triangle congruence?

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.

Front

How do you determine if two triangles are congruent using a congruence statement?

Back

Check if the corresponding sides and angles match according to the order specified in the statement.

Front

If ∠E is 45° and ∠B is 55°, what is the measure of ∠C in a triangle where the angles sum to 180°?

Back

∠C = 180° - (45° + 55°) = 80°.