Triangle Congruence Quiz

Which postulate can be used to prove two triangles are congruent if all three sides of one triangle are equal to all three sides of another triangle?

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

• Angle-Angle-Side (AAS)

What must be true for two triangles to be congruent by the Side-Angle-Side (SAS) postulate?

• Two sides and the included angle are equal

• Two angles and the included side are equal

• Three sides are equal

• Two angles and a non-included side are equal

What is the key feature of the Angle-Side-Angle (ASA) postulate?

• Two angles and a non-included side are equal

• Two angles and the included side are equal

• Three sides are equal

• Two sides and the included angle are equal

Which postulate is used when two angles and the included side of one triangle are congruent to two angles and the included side of another triangle?

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Angle-Side (AAS)

Why is the Side-Side-Angle (SSA) configuration not a valid method to prove triangle congruence?

• It spells a bad word

• It only works for right triangles

• It does not include any angles

• It does not guarantee congruence

When parallel lines are cut by a transversal, which angles are congruent?

• Vertical angles

• Alternate interior angles

• Corresponding angles

• Adjacent angles

In a proof involving parallel lines, which property is used to state that a side is equal to itself?

• Substitution property

• Reflexive property

• Symmetric property

• Transitive property

In a proof, why is it important to list the common side between two triangles?

• To find the midpoint

• To ensure the triangles are similar

• To calculate the area

• To apply the reflexive property

What is the significance of marking up triangles in a proof involving parallel lines?

• To identify congruent angles

• To measure the sides

• To find the area

• To determine the perimeter

What is the role of a segment bisector in proving triangle congruence?

• It divides a segment into two equal parts

• It creates parallel lines

• It extends a segment

• It forms a right angle