2.8 Proving Angle Relationships

Refer to the diagram of the parking lot. Given that ∠2 ≅ ∠6, Prove that ∠4 ≅ ∠8. Which justifies step 3?

• Angle Addition Postulate

• Substitution Property of Equality

• Supplement Theorem

• Vertical Angles Theorem

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CCSS.HSG.CO.C.9

Refer to the diagram of the parking lot. Given that ∠2 ≅ ∠6, Prove that ∠4 ≅ ∠8. Which justifies step 6?

• Angle Addition Postulate

• Substitution Property of Equality

• Supplement Theorem

• Vertical Angles Theorem

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CCSS.HSG.CO.C.9

Which justifies step 2?

• Given

• Symmetric Property of Equality

• Substitution Property of Equality

• Definition of Congruent Angles

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CCSS.HSG.CO.C.9

Which justifies step 5?

• Angle Addition Postulate

• Symmetric Property of Equality

• Substitution Property of Equality

• Definition of Congruent Angles

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CCSS.HSG.CO.C.9

Which statement belongs in step 2?

• ∠4 ≅ ∠5

• ∠4 ≅ ∠7

• ∠4 ≅ ∠6

• ∠5 ≅ ∠7

Which justifies step 4?

• Vertical Angles Theorem

• Corresponding Angles Postulate

• Symmetric Property of Congruence

• Substitution Property of Congruence

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CCSS.HSG.CO.C.9

Find m∠3. ∠2 and ∠3 are complementary. ∠1≅ ∠4 and m∠2 = 28.

• 62°

• 45°

• 28°

• 72°

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CCSS.8.G.A.5

Find m∠1. ∠2 and ∠3 are complementary. ∠1≅ ∠4 and m∠2 = 28.

• 62°

• 45°

• 28°

• 72°

Tags

CCSS.7.G.B.5

Find m∠12 if m∠11 = 11x and m∠13 = 10x + 12. Then determine which theorem justifies your work.

• 92°, Supplement Theorem

• 92°, Vertical Angles Theorem

• 88°, Supplement Theorem

• 88°, Vertical Angles Theorem

Find m∠13 if m∠11 = 11x and m∠13 = 10x + 12. Then determine which theorem justifies your work.

• 92°, Supplement Theorem

• 92°, Vertical Angles Theorem

• 88°, Supplement Theorem

• 88°, Vertical Angles Theorem

Tags

CCSS.HSG.CO.C.9