Criteria for Congruency of Triangles

The video tutorial covers the concepts of triangle similarity and congruency, explaining their differences and criteria for proving each. It discusses the AAA and AA criteria for similarity, and the AAS, SAA, and SSS criteria for congruency. The tutorial also explores side-based criteria and introduces the RHS criterion for right angle triangles, emphasizing the importance of understanding these concepts in geometry.

What are the six elements of a triangle?

• Three sides and three angles

• Three sides and two angles

• Two sides and three angles

• Four sides and two angles

How can we determine if two triangles are similar?

• By checking if one angle and one side are equal

• By checking if corresponding angles are equal and sides are in equal ratio

• By checking if all angles are equal

• By checking if all sides are equal

What does the AA criterion for triangle similarity state?

• Two triangles are similar if all sides are equal

• Two triangles are similar if two corresponding angles are equal

• Two triangles are similar if one angle and one side are equal

• Two triangles are similar if all three angles are equal

What is the difference between similar and congruent triangles?

• Similar triangles have equal sides, congruent triangles have equal angles

• Similar triangles have equal angles, congruent triangles have equal sides and angles

• Similar triangles have equal sides, congruent triangles have equal sides and angles

• Similar triangles have equal angles, congruent triangles have equal sides

Which criterion involves two angles and one side for congruency?

• AAS

• SAS

• AAA

• SSS

What does the SSS criterion state for triangle congruency?

• All corresponding sides are equal

• All corresponding angles are equal

• Two sides and one angle are equal

• One side and two angles are equal

Why can't we use only two sides to determine triangle congruency?

• Because the triangles will always be congruent

• Because the third side is always different

• Because different angles can be formed between the two sides

• Because the triangles will always be similar

What is the SAS criterion for triangle congruency?

• Two sides and the angle between them are equal

• Two angles and the side between them are equal

• All sides are equal

• All angles are equal

What is the RHS criterion used for?

• Determining similarity of isosceles triangles

• Determining similarity and congruency of right-angled triangles

• Determining congruency of any triangle

• Determining similarity of any triangle

In a right-angled triangle, what is the hypotenuse?

• The longest side

• The shortest side

• The side opposite the right angle

• The side adjacent to the right angle