HW 4.3

Front

What does the symbol '≅' represent in geometry?

Back

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

Front

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

Back

If two triangles are congruent, their corresponding sides are equal in length.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same relative position at each intersection where a straight line crosses two others.

Front

What is the relationship between the angles of congruent triangles?

Back

The angles of congruent triangles are equal in measure.

Front

What is the definition of congruence in geometry?

Back

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

Front

What is the significance of the Side-Angle-Side (SAS) 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 two triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) 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 two triangles are congruent.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the definition of corresponding sides?

Back

Corresponding sides are sides that are in the same relative position in two or more geometric figures.

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 two triangles are congruent.