Fill in the Blank Triangle 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

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

Fill in the proof with the labels below.

f

g

h

b

c

e

i

a

d

j

△SEM ≅ △KMR

∠SMR

∠SEM

SM

SAS congruence postulate

Alternate internal ∠’s are ≅

AAS congruence theorem

CPCTC

RM ≅ EM

Definition of midpoint

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

What is the correct choice for Statement 2?

• <S ≅ <V

• Segment ST ≅ Segment VU

• Segment TU ≅ Segment TU

• Reflexive Property

Identify the  missing statement or reason

• Reflexive Property

• Definition of Midpoint

• Given

• Vertical Angles Theorem

Identify the  missing statement or reason

• Definition of Angle Bisector

• Alternate Interior Angles Theorem

• Reflexive Property

• Definition of Midpoint

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)

What is Reason and Statement?

• - Reflexive Property

  - ∠ACB ≌ ∠ECD

• - Definition of Midpoint

  - ∠ACB ≌ ∠ECD

• - Segment Bisector

  - ∠BCA ≌ ∠DCE

• - Reflexive Property

  - ∠BCA ≌ ∠DCE

What is the correct choice for Statement 2?

• Segment GH ≅ Segment KL

• ∠G ≅ ∠K

• Segment GI ≅ Segment KJ

• Segment HI ≅ Segment LJ