Flowchart Proof Congruence

Which if the following is the reason missing in step 4?

• Reflexive Property

• Vertical Angle Theorem

• Definition of congruent angles

• Transitive Property

Which if the following is the statement missing in step 5?

Fill in the missing steps in the flowchart proof to prove that m∠GFH = m∠IFJ. Given: m∠GFI = m∠HFJ. Prove: m∠GFH = m∠IFJ. Use the diagram to assist in filling the blanks.

e

f

g

h

m∠HFJ = m∠IFJ

Addition Property

m∠GFH = m∠IFJ

m∠GFI = m∠GFH

Subtraction Property

Transitive Property

m∠GFI = m∠IFJ

Given the diagram, which of the following must be true?

• ∆XSF ≅ ∆XTG

• ∆SXF ≅ ∆GXT

• ∆FXS≅ ∆XGT

• ∆FXS ≅ ∆GXT

What is the justification?

• Transitive Property 

• Reflexive Property 

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

• HA=HA

• HA=AH

• MA=AM

• MA=MA

• Definition of Midpoint

• Definition of Congruence

• Segment Addition Postulate

• Reflexive Property

We are given that l bisects SU. By the Segment Addition Postulate,​ (a)   . By the definition of ​ (b)   , ST ≅ TU. Congruent segments have equal length, so ​ (c)   . Substituting this into ST + TU = SU gives ST = 1 2 SU.

• ST+TU=SU

• Segment Bisector

• ST=TU

• ST+SU=TU

• Segment Divider

• ST=2SU

Identify the missing statements in the proof.

a

b

c

Transitive property of congruence

Division Property

Subtraction property

Which is the correct reason for statement 2 in the proof?

• Given

• Transitive Property

• Definition of Congruent Angles

• Vertical Angles are congruent.