Geometry Activity 6 Quiz

If ∠ABE is a right angle, then m∠ABE = 90⁰.

• Definition of Angle Bisector
• Angle Addition Postulate
• Definition of Acute Angle
• Definition of Right Angle

If ∠2 ≅ ∠1 and ∠1 ≅ ∠5, then ∠2 ≅ ∠5.

• Reflexive Property
• Definition of Midpoint
• Transitive Property
• Angle Addition Postulate

Given: B is the midpoint of segment AC.  Prove: segment AB ≅ segment BC.

• Definition of Midpoint
• Definition of Perpendicular Lines
• Subtraction Property of Equality
• Segment Addition Postulate

m∠2 + m∠ABE = m∠DBE

• Protractor Postulate
• Angle Addition Postulate
• Segment Addition Postulate
• Transitive Property

If ∠1 is supplementary to ∠FBG, then m∠1 + m∠FBG = 180°.

• Definition of Complementary Angles
• Angle Addition Postulate
• Subtraction Property of Equality
• Definition of Supplementary Angles

EB + BG = EG

• Angle Addition Postulate
• Segment Addition Postulate
• Definition of Midpoint
• Definition of Perpendicular Lines

If m∠1 + m∠6 = 90°, then ∠1 is complementary to ∠6.

• Angle Addition Postulate
• Addition Property of Equality
• Definition of Supplementary angles
• Definition of Complementary Angles

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

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

• addition POE
• angle addition POE
• subtraction POE
• substitution POE

Which is the correct reason for statement 1 in the proof?

• Definition of Congruent Angles
• Substitution
• Transitive Property
• Given