Geometry Proof

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

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 the REASON for Statement #2?

• Given

• Definition of Complementary Angles

• Substitution Property

• Reflexive Property of Congruence

What is the REASON for Statement #3?

• Given

• Definition of Complementary Angles

• Substitution Property

• Reflexive Property of Congruence

What is the REASON for Statement #4?

• Substitution Property

• Distributive Property

• Transitive Property

• Combine Like Terms

Name the property.
If A is in the interior of <BDC, then m<BDA + m<ADC = m<BDC. 

• Reflexive

• Transitive

• Segment Addition Postulate

• Angle Addition Postulate

What is the reason?

• Definition of perpendicular

• Definition of Right angle

• Definition of 90 

• Definition of angle

What is the REASON for Statement #6?

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Congruence

• Symmetric Property of Congruence

• Distributive Property

• Transitive Property of Congruence

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Congruence

• Symmetric Property of Congruence

• Distributive Property

• Transitive Property of Congruence