Overlapping Triangles

Identify any common angles or sides

• JK
• Angle MJK
• LK
• Angle MKJ

Tags

CCSS.HSG.CO.B.7

Identify common angles or sides

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

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.B.5

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

• Angle M
• Angle P
• Angle K
• Angle MLP

Tags

CCSS.HSG.CO.B.7

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

Tags

CCSS.HSG.SRT.B.5

Name the side or angle that is overlapping.

• UX

• UV

• VW

• XW

Tags

CCSS.8.G.A.2

Name a side or angle that is overlapping.

• AB

• BC

• DC

• ∠DAC

Tags

CCSS.8.G.A.2

What statement should go in Step 3?

• Angle B=Angle B
• AB=BC
• AD=DC
• Angle 1=Angle 3

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

What is the reason for Step 4?

• Substitution
• Angle Addition
• Segment Addition
• Triangle Sum Property

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

What is the statement for Step 5?

• ED+DC=EC
• AD=EC
• AE+DC=ED
• AE+ED=ED+DC

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

What is the reason for Step 8?

• SSS
• SAS
• ASA
• AAS

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5