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

Tags

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

Tags

CCSS.HSG.CO.C.9

Which justifies step 2?

• Given

• Symmetric Property of Equality

• Substitution Property of Equality

• Definition of Congruent Angles

Tags

CCSS.HSG.CO.C.9

Which justifies step 5?

• Angle Addition Postulate

• Symmetric Property of Equality

• Substitution Property of Equality

• Definition of Congruent Angles

Tags

CCSS.HSG.CO.C.9

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

• 62°

• 45°

• 28°

• 72°

Tags

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∠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

Which property justifies the next step?

• Symmetric Property
• Segment Addition Postulate
• Definition Midpoint
• Definition Congruence

Tags

CCSS.HSG.CO.B.6

Which property justifies the next step?

• Definition Congruence
• Segment Addition Post
• Transitive Property
• Definition Equality

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Name the property, definition, postulate, or theorem.

• def of congruent segments
• def of midpoint
• Segment Add Post
• def of angle bisector

Tags

CCSS.HSG.CO.A.1