Triangle congruence proofs

Given the information in the image, you can deduce that the triangles are ​ (a)   because ​ (b)   ​

• of the ASA Triangle congruence postulate.
• of the SSA Triangle congruence theorem.
• of the SSS Triangle congruence postulate.
• of the HL Triangle congruence postulate.
• of the AAS Triangle congruence theorem.
• of the SAS Triangle congruence theorem.
• there is not enough information given.
• congruent
• not congruent

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Given the information in the image, you can deduce that the triangles are ​ (a)   because ​ (b)   ​

• of the ASA Triangle congruence postulate.
• of the SSA Triangle congruence theorem.
• of the SSS Triangle congruence postulate.
• of the HL Triangle congruence postulate.
• of the AAS Triangle congruence theorem.
• of the SAS Triangle congruence theorem.
• there is not enough information given.
• congruent
• not congruent

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Given the information in the image, you can deduce that the triangles are ​ (a)   because ​ (b)   ​

• of the ASA Triangle congruence postulate.
• of the SSA Triangle congruence theorem.
• of the SSS Triangle congruence postulate.
• of the HL Triangle congruence postulate.
• of the AAS Triangle congruence theorem.
• of the SAS Triangle congruence theorem.
• there is not enough information given.
• congruent
• not congruent

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Given the information in the image, you can deduce that the triangles are ​ (a)   because ​ (b)   ​

• of the ASA Triangle congruence postulate.
• of the SSA Triangle congruence theorem.
• of the HL Triangle congruence postulate.
• of the AAS Triangle congruence theorem.
• of the SAS Triangle congruence theorem.
• there is not enough information given.
• congruent
• not necessarily congruent
• of the SSS Triangle congruence postulate.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

You are trying to prove △MXC≅△LXC. Identify the components of the triangles on the diagram that are congruent due to the reflexive property help prove their congruence by selecting the points which define the components.

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Fill in the proof with the labels below.

f

g

h

b

c

e

i

a

d

j

∠SEM

RM ≅ EM

Definition of midpoint

Alternate internal ∠’s are ≅

SM

CPCTC

SAS congruence postulate

△SEM ≅ △KMR

AAS congruence theorem

∠SMR

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

Given the image, mark all true statements

• ∠SEO ≅ ∠STZ

• EO ≅ TZ

• SO ≅ SZ

• ∠ESO ≅ ∠TZS

• ∠YTE ≅ ∠YES

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 additional information is needed to prove that △MYG ≅ △MYR?​ ​ (a)  

• EO ≅ TE
• ∠YTE ≅ ∠YES
• ∠ESO ≅ ∠TES
• GM ≅ MK
• GR ≅ GR
• OT ≅ ZE
• ∠OMS ≅ ∠MSE

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Mark the angle pairs which are congruent due to the presence of transversal HK which would help prove that triangles RXH and KXN are congruent.

• ∠RXK ≅ ∠HXN

• ∠RHX ≅ ∠NKX

• ∠CRN ≅ ∠TNC

• ∠RHX ≅ ∠KXN

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.C.9

CCSS.HSG.SRT.B.5

Label the blank triangle with the corresponding triangle part.

a

b

c

d

e

f

|||

))

||

)))

)

|

Tags

CCSS.4.G.A.1