Overlapping Triangle Problems

Identify any common angles or sides

• JK
• Angle MJK
• LK
• Angle MKJ

Identify common angles or sides

• Angle E
• Angle D
• Angle F
• Angle DGF

The red and blue triangles are congruent. Identify a common side or angle.

• Side DF
• Angle E
• Angle G
• Angle GDE

The red and blue triangles are congruent. Identify a common side or angle.

• Side XY
• Side XZ
• Angle TWZ
• Side YT

Name a pair of overlapping congruent triangles and state how.  (Hint: they have to be overlapping)

• ∆AQT ≅ ∆SQT by SAS
• ∆TAR ≅ ∆TSP by AAS
• ∆TAR ≅ ∆TSP by ASA
• ∆AQT ≅ ∆SQT by SSA

When does one use CPCTC?

• Before triangles are congruent
• After triangles are congruent
• Whenever one wants, there are no restrictions
• There is no such thing as CPCTC

Name a side or angle that is overlapping.

• AB

• BC

• DC

• ∠DAC

Name a side or angle that is overlapping.

• ∠Y

• ZY

• YT

• NP

What additional information is required to prove the two triangles are congruent by SAS?

• A)
• B)
• C)
• D)

What additional information is required to prove the two triangles are congruent by HL?

• A)
• B)
• C)
• D)