Triangle Congruence Theorems Quiz

What is the main focus of the Side-Side-Side (SSS) Congruence Theorem?

• It focuses on the angles of a triangle.

• It focuses on the hypotenuse of a triangle.

• It focuses on the sides of a triangle.

• It focuses on the transformations of a triangle.

Which theorem is used to determine if two right triangles are congruent when the hypotenuse and one leg are equal?

• Angle-Side-Angle (ASA) Theorem

• Hypotenuse-Leg (HL) Theorem

• Side-Angle-Side (SAS) Theorem

• Side-Side-Side (SSS) Theorem

When checking for congruency using the SSS theorem, what should you verify about the sides?

• The angles are equal.

• At least one side is equal.

• All three sides are equal.

• Two sides are equal.

What is a key characteristic of isosceles triangles?

• All angles are different.

• Two sides are equal.

• It has a right angle.

• All sides are different.

Why is the Side-Angle-Side (SAS) method not generally valid for proving congruency?

• It does not include the angle between the sides.

• It requires all angles to be equal.

• It only applies to right triangles.

• It only works for isosceles triangles.

In a right triangle, what are the sides adjacent to the right angle called?

• Legs

• Altitudes

• Hypotenuse

• Bases

What is the purpose of the segment addition postulate in triangle proofs?

• To add angles together.

• To subtract segments.

• To prove angles are equal.

• To show that a segment is the sum of its parts.

Which property states that a segment is equal to itself?

• Symmetric Property

• Reflexive Property

• Transitive Property

• Substitution Property

What is the result when two triangles have all sides equal?

• They are scalene.

• They are isosceles.

• They are similar.

• They are congruent.

Which theorem can be used to prove congruency when two sides and the included angle are known?

• Side-Angle-Side (SAS) Theorem

• Side-Side-Side (SSS) Theorem

• Hypotenuse-Leg (HL) Theorem

• Angle-Side-Angle (ASA) Theorem