Congruent Overlapping Triangles

According to the diagram at the right, which statement is true?

• Triangle DEH is congruent to triangle GFH by AAS

• Triangle DEH is congruent to triangle GFH by SAS

• Triangle DEF is congruent to triangle GFE by AAS

• Triangle DEF is congruent to triangle GFE by SAS

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

Which CANNOT be used to prove that triangle MNK is congruent to triangle KLM?

• SAS

• ASA

• HL Theorem

Tags

CCSS.HSG.SRT.B.5

What is the common side in triangle BDC and CED?

• AB

• EB

• CB

• CD

Tags

CCSS.8.G.A.2

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

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 is the statement for Step 5?

• ED+DC=EC

• AD=EC

• AE+DC=ED

• AE+ED=ED+DC

Tags

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

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

What is the statement for Step 7?

• Angle R=Angle T

• ST=RU

• SU=SU

• Angle TUR=Angle RST

Tags

CCSS.HSG.SRT.B.5