Congruence in Overlapping Triangles

Identify any common angles or sides

• JK

• Angle MJK

• LK

• Angle MKJ

Name a side or angle that is overlapping.

• AB

• BC

• DC

• ∠DAC

What statement should go in Step 3?

• Angle B=Angle B

• AB=BC

• AD=DC

• Angle 1=Angle 3

What is the reason for Step 4?

• Substitution

• Angle Addition

• Segment Addition

• Triangle Sum Property

What is the statement for Step 5?

• ED+DC=EC

• AD=EC

• AE+DC=ED

• AE+ED=ED+DC

What is the reason for Step 8?

• SSS

• SAS

• ASA

• AAS

What is the reason for Step 3?

• Angle Addition

• Statement Addition

• Vertical Angles

• Substitution

Identify any common angles or sides for: △CDG and △FCE

• ∠C

• ∠E

• ∠F

• ∠D

Identify any common angles or sides for:

△GDE and △HED

• ED

• GD

• HD

Identify any common angles or sides for: △DEH and △DFG

• ∠D

• ∠DEH

• ∠DFG

• DG