Corresponding Parts of a Triangle

Front

What are corresponding parts of a triangle?

Back

Corresponding parts of a triangle are the angles and sides that are in the same relative position in congruent triangles.

Front

What does it mean for triangles to be congruent?

Back

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

Front

If ΔABC ≅ ΔXYZ, what can we say about ∠A and ∠X?

Back

∠A ≅ ∠X because corresponding angles in congruent triangles are equal.

Front

What is the relationship between corresponding sides in congruent triangles?

Back

Corresponding sides in congruent triangles are equal in length.

Front

If two triangles are congruent, how many pairs of corresponding angles are there?

Back

There are three pairs of corresponding angles in congruent triangles.

Front

What is the significance of the order of vertices in triangle congruence notation?

Back

The order of vertices in triangle congruence notation indicates which angles and sides correspond to each other.

Front

If ΔXYZ ≅ ΔKLM, what can we conclude about side XY and side KL?

Back

XY = KL because corresponding sides in congruent triangles are equal.

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-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

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

Back

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