Overlapping Triangle

Name a pair of overlapping triangles and state how you can prove they are congruent.

• ∆AQT ≅ ∆SQT by SAS

• ∆TAR ≅ ∆TSP by AAS

• ∆TAR ≅ ∆TSP by ASA

• ∆AQT ≅ ∆SQT by SSA

Name a side or angle that is overlapping.

• ∠Y

• ZY

• YT

• NP

Use the Exterior Angle Theorem to find the value of x.

• 117

• 94

• 149

• 31

Identify any common angles or sides.

• Angle MJK
• Angle MKJ

Angles 14 and 6 are

• alternate interior and congruent

• alternate exterior and congruent

• corresponding and congruent

• consecutive interior and congruent

Triangles BDC and CEB share side _____ .

ΔKNM is congruent to ΔPLM. They have _______ in common.

• Angle M

• Angle P

• Angle K

• Angle MLP

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

Find the value of x.

• x = 27

• x = 53

• x = 49

• x = -16