Triangle Congruence Criteria

The video tutorial introduces the concept of unique triangles, which can only be drawn in one way given specific criteria. It explains the criteria for forming unique triangles, including SSS (side-side-side), SAS (side-angle-side), ASA (angle-side-angle), and AAS (angle-angle-side). Each criterion is detailed with examples, highlighting the importance of included and non-included angles and sides. The tutorial also contrasts unique triangles with scenarios where multiple triangles or no triangles can be formed.

What is a unique triangle?

• A triangle with no angles.

• A triangle that can be drawn in multiple ways.

• A triangle that can only be drawn in one way.

• A triangle that cannot be drawn at all.

What information is needed to create a unique triangle?

• No information is needed.

• Only the sides.

• Either the sides or angles, but in a specific way.

• Only the angles.

What is the result if the given measurements do not satisfy any triangle criteria?

• A unique triangle is formed.

• Multiple triangles are formed.

• No triangle is formed.

• A square is formed.

What does the SSS criterion stand for?

• Angle-Angle-Side

• Angle-Side-Angle

• Side-Angle-Side

• Side-Side-Side

What must the sides of a triangle satisfy to form a unique triangle under the SSS criterion?

• The sides must be perpendicular.

• The sides must satisfy the triangle inequality theorem.

• The sides must be equal.

• The sides must be parallel.

What is the significance of the triangle inequality theorem in forming unique triangles?

• It ensures the sum of two sides is greater than the third side.

• It ensures the sides are equal.

• It ensures the triangle is right-angled.

• It ensures the angles are equal.

What happens if the given sides do not satisfy the triangle inequality theorem?

• A unique triangle is formed.

• A square is formed.

• Multiple triangles are formed.

• No triangle is formed.

Which criterion involves three sides?

• SSS

• AAS

• SAS

• ASA

What does the SAS criterion involve?

• Two sides and the included angle.

• Three sides.

• Two angles and a side.

• Three angles.

In the SAS criterion, what is the 'included angle'?

• An angle that is greater than 90 degrees.

• An angle that is equal to 90 degrees.

• An angle that is between the two sides.

• An angle that is not between the two sides.