Corresponding parts of Congruent Triangles

Front

What are corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are angles and sides that are equal in measure when two triangles are congruent.

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' indicates that two figures are congruent, meaning they have the same shape and size.

Front

If ΔABC ≅ ΔDEF, what can we conclude about the angles and sides?

Back

We can conclude that ∠A = ∠D, ∠B = ∠E, ∠C = ∠F and AB = DE, BC = EF, AC = DF.

Front

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

Back

The order of letters in a congruence statement indicates which angles and sides correspond to each other.

Front

How do you write the congruence statement for triangles with vertices labeled P, Q, R and S, T, U?

Back

If triangle PQR is congruent to triangle STU, it is written as ΔPQR ≅ ΔSTU.

Front

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

Back

The AA criterion states that 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

The SSS criterion states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

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

Back

The SAS criterion states that 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

If ∠F = ∠G, what can we say about triangles that include these angles?

Back

If ∠F = ∠G, then the triangles that include these angles may be congruent if other corresponding parts are also equal.

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means they do not have the same shape and size; their corresponding sides and angles are not equal.