Congruence and Proof

Given the two triangles, which statement is true?

What is statement #1?

• BC≅DC

• AC≅EC

• BC≅DC, AC≅EC

• ∆BCA≅∆DCE

Name the corresponding angle or side.

• A

• B

• C

• D

What is the "reason" for step 2 of the proof?

• reflexive property

• proof

• SAS
  ≅ thrm

• given

What is the correct choice for Reason 3?

• Vertical Angles are Congruent

• Definition of Congruence

• Given

• Reflexive Property

If ∠A ≅ ∠B, then we know m∠A = m∠B because...

• Given

• Definition of Congruence

• Reflexive Property of Equality

• Transitive Property of Congruence

Definition of Congruence

• Definition of Congruence

• Reflexive Property

• Symmetric Property

• Definition of Angle Bisector

What is the "statement" for step 3 of the proof?

• HA=HA

• HA=AH

• MA=AM

• MA=MA

What is the reason?

• Reflexive

• Symmetric

• Definition of Congruence

• Definition of Angle

• Definition of Midpoint

• Definition of Congruence

• Segment Addition Postulate

• Reflexive Property