Exploring Triangle Congruency with SSS and SAS

What does it mean for two triangles to be congruent?

• They have different sizes and shapes.

• They have the same size and shape.

• They have the same size but different shapes.

• They have the same shape but different sizes.

Which postulate states that if three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent?

• SSS

• AAA

• SSA

• SAS

What is the included angle in a triangle?

• The angle opposite the longest side.

• The angle opposite the shortest side.

• The angle between two congruent sides.

• The angle between two given sides.

In the SAS postulate, what must be true about the angle?

• It must be the largest angle in the triangle.

• It must be opposite one of the given sides.

• It must be the smallest angle in the triangle.

• It must be between the two given sides.

If sides YE and ES are given, what is the included angle?

• Angle Y

• Angle E

• Angle S

• Angle YS

Which of the following is NOT a valid postulate for proving triangle congruence?

• SSS

• SAS

• None of the above

• SSA

Why can't the AAA postulate be used to prove triangle congruence?

• It only compares angles, not sides.

• It only compares sides, not angles.

• It requires the triangles to be right triangles.

• It requires the triangles to be isosceles.

What property states that a side is congruent to itself?

• Transitive property

• Symmetric property

• Associative property

• Reflexive property

What type of angles are always congruent and can be used to prove triangle congruence?

• Adjacent angles

• Vertical angles

• Complementary angles

• Supplementary angles

To prove two triangles are congruent using the SAS postulate, what must be true?

• Three angles must be congruent.

• Two angles and the included side must be congruent.

• Three sides must be congruent.

• Two sides and the included angle must be congruent.