Triangle Congruence Proofs Practice

Which property is used to prove that side DE is congruent to itself?

• Reflexive Property

• Symmetric Property

• Substitution Property

• Transitive Property

What does CPCTC stand for?

• Congruent Parts of Corresponding Triangles are Congruent

• Corresponding Parts of Congruent Triangles are Congruent

• Corresponding Pieces of Congruent Triangles are Congruent

• Congruent Pieces of Corresponding Triangles are Congruent

Why can't triangle ADE be isosceles if one angle is 90 degrees?

• The angles are not supplementary

• The sides are not equal

• The hypotenuse is not equal

• The base angles are not congruent

Which of the following congruences is not necessarily true?

• AC is congruent to BD

• AD is congruent to AE

• AE is congruent to BE

• BD is congruent to CD

What does it mean for segments to bisect each other?

• They are congruent

• They are parallel

• They are perpendicular

• They cut each other in half

Which angles are congruent due to being vertical angles?

• Angle DBA and Angle EBC

• Angle ADB and Angle CEB

• Angle ABD and Angle CEB

• Angle ABE and Angle CDE

Which congruence criterion is used when a hypotenuse and a leg are known to be congruent?

• Side-Side-Side

• Angle-Side-Angle

• Side-Angle-Side

• Hypotenuse-Leg

What additional information is needed to prove triangles congruent by Hypotenuse-Leg?

• No additional information

• An additional side

• A perpendicular bisector

• An additional angle

Which theorem states that all right angles are congruent?

• Reflexive Property

• Angle Bisector Theorem

• Vertical Angle Theorem

• Right Angle Congruence Theorem

How do we know that triangles LDC and OCD are congruent?

• By Hypotenuse-Leg

• By Side-Side-Side

• By Angle-Side-Angle

• By Angle-Angle-Side