GeoTrig - Justifying Statements in Proofs

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

Tags

CCSS.7.G.B.5

If ∠2 ≅ ∠1 and ∠1 ≅ ∠5, then ∠2 ≅ ∠5.

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

Tags

CCSS.HSG.SRT.B.5

m∠2 + m∠ABE = m∠DBE

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

Tags

CCSS.8.G.A.5

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

Tags

CCSS.7.G.B.5

EB + BG = EG

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

Tags

CCSS.HSG.SRT.B.4

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

Tags

CCSS.7.G.B.5

• Subtraction POE

• Def. of Supplementary Angles

• Symmetric POE

• Angle Addition Postulate

Tags

CCSS.7.G.B.5

• Transitive POE

• Addition POE

• Reflexive POE

• Division POE

Tags

CCSS.7.EE.A.1

if a=b, then b can be substituted for a in any equation or expression.

• substitution POE

• transitive POE

• reflexive POE

• symmetric POE

Tags

CCSS.4.MD.A.2

a(b + c) = ab + ac and a(b-c) = ab-ac

• def of angle congruence

• multiplication POE

• distributive POE

• addition POE