Triangle Congruence Proofs

If DA bisects IE, then

• ID=ED
• IA=EA
• <IDA=<EDA
• <IAD and <EAD are right angles

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

CCSS.HSG.SRT.B.5

If AD bisects <EDI, then

• <ADE=<IDA
• IA=AE
• ID=ED
• All of the above

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

If DA is perpendicular to IE, then we can immediately conclude that

• IA=AE
• <IAD = <DAE
• <IDA=<EDA
• <IAD and <DAE are right angles

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

In this picture, we know for sure that

• <TEB=<ETS
• <BTE=<SET
• BE=ST
• Both 1 and 2 are correct

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.C.11

In this picture,

• <BCA=<DCE because they are vertical angles and vertical angles are always congruent to each other
• <C=<C because they are vertical angles and vertical angles are always congruent to each other
• <EDC=<ACB because they are vertical angles and vertical angles are always congruent to each other
• None of the above; we don't actually have vertical angles

Tags

CCSS.HSG.CO.C.9

State if the two triangles are congruent.  If they are, state how you know.

• A
• B
• C
• D

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Fill in the missing proofs.

• Transitive Property, SAS(Side-Angle-Side)
• Reflexive Property, SAS(Side-Angle-Side)
• Reflexive Property, Vertical Angles Thm.
• Transitive Property, SSS(Side-Side-Side)

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 "statement" for step 3 of the proof?

• AD=DA
• AN = AH
• HD=ND
• HD=DN

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.4

CCSS.HSG.SRT.B.5

What is the "statement" for step 3 of the proof? 

• ∡EDA≅∡DCB
• ∡AED≅∡BEC
• DE=CE
• ∡AED≅∡CED

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.4

CCSS.HSG.SRT.B.5

What are the 2 missing pieces of information?

• Transitive Property, SAS(Side-Angle-Side)
• Reflexive Property, SAS(Side-Angle-Side)
• Transitive Property, SSS(Side-Side-Side)
• Reflexive Property, SSS(Side-Side-Side)

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5