Corresponding Parts

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size, and can be superimposed on each other.

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' represents that two geometric figures are congruent.

Front

What are corresponding parts in congruent triangles?

Back

Corresponding parts in congruent triangles are the angles and sides that are equal in measure.

Front

If ΔABC ≅ ΔDEF, what can we say about ∠A and ∠D?

Back

∠A ≅ ∠D, meaning they are congruent.

Front

What is the Side-Angle-Side (SAS) congruence postulate?

Back

The SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) congruence postulate?

Back

The ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the Side-Side-Side (SSS) congruence postulate?

Back

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

Front

How can you determine if two triangles are congruent using the Hypotenuse-Leg (HL) theorem?

Back

The HL theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is the relationship between corresponding angles and sides in similar triangles?

Back

In similar triangles, corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

What is the importance of labeling corresponding parts in congruent triangles?

Back

Labeling corresponding parts helps to clearly identify which angles and sides are equal, facilitating the proof of congruence.