Triangle Congruency

Front

What does SSA stand for in triangle congruency, and why is it not a valid shortcut?

Back

SSA stands for Side-Side-Angle. It is not a valid shortcut for proving triangle congruency because it can lead to ambiguous cases where two different triangles can be formed.

Front

What does SAS stand for in triangle congruency?

Back

SAS stands for Side-Angle-Side, which is a valid postulate for proving that two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What does SSS stand for in triangle congruency?

Back

SSS stands for Side-Side-Side, which is a valid postulate for proving that two triangles are congruent if all three sides of one triangle are equal to the corresponding sides of another triangle.

Front

What is the Angle-Angle-Side (AAS) theorem in triangle congruency?

Back

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

Front

What is the Hypotenuse-Leg (HL) theorem in triangle congruency?

Back

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

Front

What is the purpose of triangle congruency postulates?

Back

Triangle congruency postulates are used to determine whether two triangles are congruent, meaning they have the same size and shape, which is essential in solving geometric problems.

Front

What is the difference between congruent triangles and similar triangles?

Back

Congruent triangles have the same size and shape, while similar triangles have the same shape but may differ in size.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have exactly the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the significance of the included angle in the SAS postulate?

Back

The included angle in the SAS postulate is significant because it is the angle formed between the two sides being compared, and it must be equal for the triangles to be congruent.

Front

How can you prove triangles are congruent using the AAS theorem?

Back

To prove triangles are congruent using the AAS theorem, you need to show that two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.