Overlapping Triangle Proofs

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

What is the reason for Step 8?

• ASA

• SAS

• SSS

• AAS

Identify any common angles or sides

• JK

• Angle MJK

• LK

• Angle MKJ

The red (ΔKNM) and blue (ΔPLM) triangles are congruent. Identify a common side or angle.

• Angle M

• Angle P

• Angle K

• Angle MLP

Identify common angles or sides

• Angle E

• Angle D

• Angle F

• Angle DGF

Name the side or angle that is overlapping.

• UX

• UV

• VW

• XW

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

• ∆BAC≅∆DAC

• BC=DC

• ∡B≅∡D

• ∡BAC≅∡DAC

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

• Proof

• Def. of Midpoint

• Reflexive Property

• Vertical angle Theorem

State if the two triangles are congruent.  If they are, state how you know.

• A

• B

• C

• D