Geometry Angle Proofs

What is the "statement" for step 2 of the proof?

• ∆BAC≅∆DAC

• BC=DC

• ∡B≅∡D

• ∡BAC≅∡DAC

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

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 <ABC ≅ <DEF, then m<ABC = m<DEF

• Reflexive POE

• Addition POE

• Def. of congruent angles

• Def. of right angles

Identify the  missing statement or reason

• Reflexive Property

• Definition of Midpoint

• Given

• Vertical Angles Theorem

Identify the  missing statement or reason

• Given

• Vertical Angles Theorem

• Definition of Angle Bisector

• Alternate Interior Angles Theorem

Identify the  missing statement or reason

• Definition of Angle Bisector

• Alternate Interior Angles Theorem

• Reflexive Property

• Definition of Midpoint

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

• ∡A≅∡C, and segment DB is the angle bisector of ∡CDA

• BD=BD, and DB=DB

• ∡A≅∡C, and segment DB is the angle bisector of ∡CBA

• ∡B≅∡D, segment DB is the angle bisector of ∡DCA.

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

• HA=HA

• HA=AH

• MA=AM

• MA=MA

What is the REASON for Statement #2?

• Given

• Definition of Complementary Angles

• Substitution Property

• Reflexive Property of Congruence