Giving Reasons for Proofs About Angles

Tags

CCSS.8.G.A.5

Tags

CCSS.7.G.B.5

• Sweet!

• Cool.

• Right on.

Tags

CCSS.8.G.A.5

So, if  and , we can substitute to get this equation:  .  Conclude

Which is the correct reason for statements 2 and 4 in the proof?

• Corresponding Angles

• Substitution

• Definition of Congruent Angles

• Vertical Angles are congruent.

Tags

CCSS.7.G.B.5

Complete the Proof with the given labels. The givens have been labeled for you.

a

b

c

d

e

f

g

Def of Complementary Angles

Given (3)

Substitution

Def of Congruent Angles

Given (1)

Reflexive

Subtraction

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CCSS.HSG.SRT.B.5

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

• Prove

• Definition of congruent angles

• Transitive Property

• Alternate Interior Angles Theorem

If ∠5 ≌∠7, which of the following can be concluded?

• r is parallel to s by converse of Alternate Interior Angles Thm.

• u is parallel to v by Converse of Corresponding Angles Thm

• s is ⊥ u by Converse of Alternate Interior Angles Thm

• v ⊥ r by Converse of Alternate Exterior Angles Thm

Tags

CCSS.8.G.A.5

Which pair of angles must be supplementary so that r is parallel to s?

• ∠2 and ∠3

• ∠5 and ∠6

• ∠4 and ∠10

• ∠6 and ∠14

Tags

CCSS.8.G.A.5