Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate used to prove that two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are congruent if they have the same size and shape, which can be proven using various criteria such as SSS, SAS, ASA, AAS, and HL.

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

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

Front

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

Back

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

Front

What additional information is needed to use the ASA postulate?

Back

To use the ASA postulate, you need to know two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What is the Angle-Angle-Side (AAS) theorem?

Back

The AAS theorem states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

What is the significance of the right angle in triangle congruence?

Back

The right angle is significant because it allows the use of the HL theorem, which is specifically applicable to right triangles.

Front

How can you determine if two triangles are congruent using the SSS postulate?

Back

Two triangles are congruent using the SSS postulate if all three sides of one triangle are equal to all three sides of another triangle.

Front

What does the notation ⊿GHI ≅ ⊿KLJ indicate?

Back

The notation ⊿GHI ≅ ⊿KLJ indicates that triangle GHI is congruent to triangle KLJ.

Front

What is the purpose of proving triangle congruence?

Back

Proving triangle congruence is essential in geometry as it allows us to establish that two triangles are identical in shape and size, which can be used in various applications such as solving problems involving angles, sides, and areas.