Transversal Proofs

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.HSG.CO.C.9

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Tags

CCSS.HSG.CO.C.9

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Tags

CCSS.HSG.CO.C.9

∠4 = ∠4

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

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

Supply the second reason.

• Linear Pair Postulate

• Alternate Interior Angles Theorem

• Vertical Angles Theorem

• Corresponding Angles Postulate

Tags

CCSS.HSG.CO.C.9

Supply the third reason.

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Postulate

• Same Side Interior Angles Theorem

Tags

CCSS.HSG.CO.C.9

The last statement is <4 = <6. What is the last reason

• Prove

• Definition of congruent angles

• Transitive Property

• Alternate Interior Angles Theorem

Tags

CCSS.HSG.CO.C.9

1) Which statement restates the Given from the question?

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Tags

CCSS.HSG.CO.C.9

2) Which statement represents what you have to prove from the question?

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Tags

CCSS.HSG.CO.C.9