Midpoint Congruency

What would be the correct "given" statements for this diagram?

• T is the midpoint of segment BG and
  ∡B≅∡G

• ∡B≅∡G and ∡A≅∡W

• T is the midpoint of segment BG and ∡A≅∡W

• T is the midpoint of segment AW and ∡A≅∡W

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

If L is the midpoint of TJ, what must be true?

• TL=JT

• JL=TJ

• TL=LJ

• T is also the midpoint of JL

What is the justification (reason)?

• reflexive property

• definition of segment bisect

• definition of a midpoint

• substitution property

What is the reason?

• Definition of congrucent

• Definition of midpoint

• Definition of segment

• Segment Addition 

Which is a true statement about the figure that is given?

• Point H is between points F and G, but is not between points J and K.

• Point H is the midpoint of line JK.

• SSS Congruence

• Vertical Angles

• Reflexive Property

• Definition of Midpoint

Identify the  missing statement or reason

• LN≅MJ

• JK≅NK

• MK≅LK

• ∠JKM≅∠NKL