Triangle Congruence Criteria Challenge

What is the primary goal of learning triangle congruence criteria?

• To draw perfect triangles

• To understand the properties of shapes

• To prove that two triangles are congruent

• To calculate the area of triangles

According to the SSS theorem, how many pairs of congruent sides are required for two triangles to be congruent?

• One pair

• Three pairs

• Four pairs

• Two pairs

For the SSS theorem, what is necessary besides having three pairs of congruent sides?

• Congruent angles

• Specific positioning of triangles

• Rotation of triangles

• Nothing else is required

What does the 'included angle' refer to in the SAS congruence criterion?

• The angle opposite the longest side

• The angle between two congruent sides

• Any angle in the triangle

• The smallest angle in the triangle

What must be true for two triangles to be congruent under the ASA criterion?

• One pair of congruent angles and two congruent sides

• Two pairs of congruent angles and the included side

• Two pairs of congruent sides and any angle

• Two pairs of congruent angles and any side

What is the significance of the 'included angle' in the SAS theorem?

• It is the smallest angle in the triangle

• It is the angle formed between two congruent sides

• It is any angle in the triangle

• It is the largest angle in the triangle

Which theorem is specifically applicable only to right triangles?

• HL

• ASA

• SAS

• SSS

In the context of the AAS theorem, what does 'non-included side' refer to?

• The side opposite the congruent angles

• The longest side of the triangle

• A side that is not between the two congruent angles

• The shortest side of the triangle

Which theorem uses the criteria of two congruent angles and a non-included congruent side?

• SSS

• ASA

• SAS

• AAS

Which of the following is NOT a valid congruence theorem?

• Angle-Angle

• Side-Side-Side

• Angle-Side-Angle

• Side-Angle-Side