Congruent Triangles Proofs

What is Statement?

• ∠QPR ≌ ∠STR

• ∠PQR ≌ ∠STR

• ∠QRP ≌ ∠TSR

• ∠QRP ≌ ∠TRS

What is Statement?

• ∠ABC ≌ ∠DCE

• ∠BCA ≌ ∠CED

• ∠CAB ≌ ∠EDC

• None of the following

What is Statement?

• ∠MNL ≌ ∠ONP

• MN ≌ ON

• N ≌ N

• MO ≌ OM

What is #3 Reason and #4 Statement?

• #3 - Reflexive Property

  #4 - ∠ACB ≌ ∠ECD

• #3 - Definition of Midpoint

  #4 - ∠ACB ≌ ∠ECD

• #3 - Segment Bisector

  #4 - ∠BCA ≌ ∠DCE

• #3 - Reflexive Property

  #4 - ∠BCA ≌ ∠DCE

Use the reasons below to complete the proof.

e

f

g

h

def of segment bisector

corresponding angles

SAS

given

SSS

angle addition

def of angle bisector

reflexive property

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

• ∆BAC≅∆DAC

• BC=DC

• ∡B≅∡D

• ∡BAC≅∡DAC

Given the information in the image, you can deduce that the triangles are ​ (a)   because ​ (b)   ​

• of the ASA Triangle congruence postulate.

• of the SSA Triangle congruence theorem.

• of the SSS Triangle congruence postulate.

• of the HL Triangle congruence postulate.

• of the AAS Triangle congruence theorem.

• of the SAS Triangle congruence theorem.

• there is not enough information given.

• congruent

• not congruent

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

• Proof

• Def. of Midpoint

• Reflexive Property

• Vertical angle Theorem

Fill in the missing proofs.

• Transitive Property, SAS(Side-Angle-Side)

• Reflexive Property, SAS(Side-Angle-Side)

• Reflexive Property, Vertical Angles Thm.

• Transitive Property, SSS(Side-Side-Side)

Given the information in the image, you can deduce that the triangles are ​ (a)   because ​ (b)   ​

• of the ASA Triangle congruence postulate.

• of the SSA Triangle congruence theorem.

• of the SSS Triangle congruence postulate.

• of the HL Triangle congruence postulate.

• of the AAS Triangle congruence theorem.

• of the SAS Triangle congruence theorem.

• there is not enough information given.

• congruent

• not congruent