Proving Angles Congruent

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.7.G.B.5

Which are pairs of vertical angles?

• ∠COB & ∠COA

• ∠AOD & ∠AOC

• ∠COB & ∠AOD

• ∠BOD & ∠AOD

Tags

CCSS.7.G.B.5

Find the missing angle.  Find x.

• 20^o

• 70^o

• 160^o

• 180^o

Tags

CCSS.7.G.B.5

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

• 62°

• 45°

• 28°

• 72°

Tags

CCSS.7.G.B.5

• Substitution Property
• Substitution (Simplify)
• Definition of Congruence
• Transitive Property
• Given
• Reflexive Property
• Segment Addition Postulate

Tags

CCSS.7.G.B.5

Rosa is proving this theorem: Angles supplementary to the same angle are congruent. Given: ∠1 and ∠3 are supplementary. ∠2 and ∠3 are supplementary. Prove: ∠1 ≅ ∠2. The table shows the statements and reasons for Rosa's proof, but they are out of order. What is the correct order for these statements and reasons?

• 3, 1, 5, 4, 2

• 3, 5, 2, 1, 4

• 3, 1, 5, 2, 4

• 3, 5, 1, 2, 4

Tags

CCSS.7.G.B.5

Which is the correct reason for statement 2 in the proof?

• Given

• Transitive Property

• Definition of Congruent Angles

• Vertical Angles are congruent

Tags

CCSS.7.G.B.5

Which is the correct reason for statement 1 in the proof?

• Definition of Congruent Angles

• Substitution

• Transitive Property

• Given

Tags

CCSS.HSG.CO.B.7

In the given proof, what are the reasons for step 1 and 2?

• Angles that form a linear pair are supplementary.

• Substitution

• Reflexive Property of Congruence

• Angles of equal measure are congruent.

Tags

CCSS.7.G.B.5

The measures of two angles are (5x +24) and (9x-17). What is the value of x if these angles are congruent?

• 75

• 13.2

• 0.5

• 10.25

Tags

CCSS.7.G.B.5