Congruent Triangles Proof Charts

What is Statement?

• ∠QPR ≌ ∠STR

• ∠PQR ≌ ∠STR

• ∠QRP ≌ ∠TSR

• ∠QRP ≌ ∠TRS

Which of the following is NOT a true Statement for ?

• ∠ABC ≌ ∠EDC

• ∠CAB ≌ ∠CED

• ∠BAC ≌ ∠DEC

• ∠ACB ≌ ∠ECD

What is Statement?

• ∠ABC ≌ ∠DCE

• ∠BCA ≌ ∠CED

• ∠CAB ≌ ∠EDC

• None of the following

What is Statement?

• ∠MNL ≌ ∠ONP

• MN ≌ ON

• N ≌ N

• MO ≌ OM

Use the reasons below to complete the proof.

e

f

g

h

SAS

def of angle bisector

SSS

reflexive property

angle addition

corresponding angles

given

def of segment bisector

∆EHG≅∆KFC
Which is a true statement?

• EH≅FK

• HG≅KF

• EG≅KC

• ∠E≅∠C

If ​ (a)   are congruent under the condition SAS, then ​ (b)   are congruent and the corresponding ​ (c)   the sides are also congruent.

• two triangles

• two corresponding sides

• angles between

Are the triangles congruent, if yes, why?

• SAS

• ASA

• AAS

• Not Congruent

What is Reason?

• Same Line

• Reflexive Property

• Segment Bisector

• Definition of Midpoint

What is Reason and Statement?

• - Reflexive Property

  - ∠ACB ≌ ∠ECD

• - Definition of Midpoint

  - ∠ACB ≌ ∠ECD

• - Segment Bisector

  - ∠BCA ≌ ∠DCE

• - Reflexive Property

  - ∠BCA ≌ ∠DCE