Proofs 3

What is the Alternate Interior Angle Theorem?

• If two parallel lines are cut by a transversal, then the resulting alternate interior angles are congruent .
• If two angles are congruent, they are on parallel lines.
• If two parallel lines are cut by a transversal, then the angles are all congruent
• If two alternate interior angles are congruent, the lines are parallel.

Tags

CCSS.8.G.A.5

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Tags

CCSS.8.G.A.5

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Tags

CCSS.8.G.A.5

If B is the midpoint of AC, then AB ≅ BC.

• Definition of Congruent Segments
• Definition of Midpoint
• Vertical Angles Theorem
• Definition of Angle Bisector

Tags

CCSS.HSG.GPE.B.6

∠4 = ∠4

• Substitution Property of Equality
• Reflexive Property of Equality
• Symmetric Property of Equality
• Transitive Property of Equality

If ∠A and ∠B are complementary,
then m∠A + m∠B = 90°.

• Definition of Supplementary Angles
• Angle Addition Postulate
• Definition of Right Angle
• Definition of Complementary Angles

Tags

CCSS.7.G.B.5

If ∠1 and ∠2 are supplementary,
then m∠1 + m∠2 = 180°.

• Definition of Supplementary Angles
• Angle Addition Postulate
• Vertical Angles Theorem
• Definition of Complementary Angles

Tags

CCSS.7.G.B.5

If ∠CAT is a right angle, then m∠CAT = 90°.

• Definition of Right Angle
• Definition of Congruent Angles
• Angle Addition Postulate
• Segment Addition Postulate

Tags

CCSS.7.G.B.5

If AC ⊥ BD, then ∠DBC is a right angle.

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

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

If DB bisects ∠ABC, then ∠ABD = ∠CBD.

• Definition of Congruent Angles
• Definition of Angle Bisector
• Angle Addition Postulate
• Definition of Right Angle

Tags

CCSS.HSG.CO.C.9