Into Triangle Congruence

What is the missing piece of information required to prove these triangles congruent?

• QY ≅ QY

• NY ≅ PY

• ∠N ≅ ∠P

• QY is the perpendicular bisector

What is the justification (reason)?

• Reflexive Property

• Symmetric Property

• Transitive Property

• Substitution

What is statement #1?

• BC≅DC

• AC≅EC

• BC≅DC, AC≅EC

• ∆BCA≅∆DCE

What is statement #2?

• ∠ABC≅∠EDC

• ∠BCA≅∠DCE

• BC≅CD

• ∠E≅∠A

Which of the following postulates/theorems can be used to prove ΔABC ≅ ΔDCB?

• SSS

• SAS

• ASA

• AAS

Name the postulate, if possible, that makes the triangles congruent.

• SSS

• SAS

• AAS

• Not Possible

How are these two triangles congruent?

• AAS

• ASA

• Not enough information

• SAS

Are these triangles congruent? If so, state the rule which you used to determine congruence.

• AAA

• AAS

• ASA

• Not necessarily congruent

Since segment BD is part of both triangles, it is congruent to itself, what do we call this?

• Substitution Property

• Commutative Property

• Reflexive Property

• CPCTC

• Reflective Property

When can we use the HL Congruence Theorem?

• Right Triangles

• Isosceles Triangles

• When we have a reflexive side

• SSA