Proofs Part 2

Which of the following is a correct statement and reason for the proof shown?

• $\overline{FG}\cong\overline{FG}$ ; Midpoint Theorem

• $\overline{FG}\cong\overline{FG}$ ; Reflexive

• $\overline{DG}\cong\overline{GE}$ ; Midpoint theorem

• $\overline{DF}\cong\overline{FE}$ ; Definition of a Bisector

Which of the following is a correct statement and reason for the proof shown?

• $\overline{FG}\cong\overline{FG}$ ; Midpoint Theorem

• $\overline{FG}\cong\overline{FG}$ ; Reflexive

• $\overline{DG}\cong\overline{GE}$ ; Midpoint theorem

• $\overline{DF}\cong\overline{FE}$ ; Definition of a Bisector

• $m\angle4\ =20$

• $m\angle4\ =60$

• $m\angle4\ =80$

• $m\angle4\ =120$

Identify the  missing statement or reason

• Definition of Angle Bisector
• Alternate Interior Angles Theorem
• Reflexive Property
• Definition of Midpoint

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)

What is the missing piece of information required to prove these triangles congruent?

• QY ≅ QY
• NY ≅ PY
• ∠N ≅ ∠P
• QY is the perpendicular bisector

Fill in the blank.

• Given
• Reflexive Property
• Transitive Property
• They're the same side!!!!!! 

If <1 and <2 are complementary, then m<1 + m<2 = 90

• Addition POE
• Subtraction POE
• Def of right angle
• Def of Complementary Angles

If M is the midpoint of AB, then AM = MB. Which of the following "reasons" fits for the statement?

• Addition POE

• Def. of Midpoint

• Reflexive POE

• Symmetric

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

• Given
• Transitive Property
• Definition of Congruent Angles
• Vertical Angles are congruent.