Overlapping Triangle Problems

Identify any common angles or sides

• JK

• Angle MJK

• LK

• Angle MKJ

Tags

CCSS.8.G.A.2

Identify common angles or sides

• Angle E

• Angle D

• Angle F

• Angle DGF

Tags

CCSS.8.G.A.2

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

If triangle ABC is congruent KJC, which statement is NOT necessarily true?

• Angle ACB is congruent to angle KJC

• Angle J is congruent to angle B

• JK is congruent to BC

Tags

CCSS.HSG.CO.B.7

Are these triangles congruent?

• Yes, by AAS

• Yes, by ASA

• No they are not congruent

• Not enough information to know for sure

Tags

CCSS.HSG.SRT.B.5

Write a congruence statement for the pair of triangles. Name the postulate or theorem that justifies your statement.

• △AWC ≅ △CRW by ASA.

• △AWC ≅ △RCW by AAS.

• △AWC ≅ △WCR by SAS.

• △AWC ≅ △RWC by ASA.

Tags

CCSS.HSG.SRT.B.5

What statement should go in Step 3?

• Angle B=Angle B

• AB=BC

• AD=DC

• Angle 1=Angle 3

Tags

CCSS.HSG.SRT.B.5

Name the side or angle that is overlapping.

• UX

• UV

• VW

• XW

Tags

CCSS.8.G.A.2

What is the reason for Step 4?

• Substitution

• Angle Addition

• Segment Addition

• Triangle Sum Property

Tags

CCSS.HSG.CO.B.7