5-5 Indirect Proof

What assumption would you make to start the indirect proof of ∆ABC≅∆DEF?

• ∆ABC≠∆DEF
• ∆ABC≇∆DEF
• <ABC≠<DEF
• AB≅DE

Tags

CCSS.HSG.SRT.B.5

What assumption would you make to start the indirect proof of AB≅BC?

• AB≠BC
• BA≅CB
• B is the midpoint of AC
• B is the perpendicular bisector oa AC

Tags

CCSS.HSG.CO.C.9

What assumption would you make to start the indirect proof of:
 there can be only one 90 angle in a triangle

• there can be more than one 90 angle in a triangle
• <a+<b+<c=180
• <a+<b+<c≠180
• all the angles in a triangle add up to 180.

Tags

CCSS.8.G.A.5

What assumption would you make to start the indirect proof of if 3x+7>13, then x>2?

• x≤2
• x<2
• x>2
• x=2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

A way to reach a conclusion using reasoning:

• Proof

• hypothesis

• counterexample

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.11

CCSS.HSA.SSE.A.2

A proof that can be used when there are only two possibilities; if one possibility is false, the other must be true.

• direct proof

• indirect proof

• conclusion

An example that shows a statement is false:

• hypothesis

• conclusion

• counterexample

The last statement in a proof is always what part of the information?

• The "Prove" statement
• The "Given" Statement
• Who knows, none of this matters anyway
• I am Groot

If ∠A ≅ ∠B, then we know m∠A = m∠B because...

• Given
• Definition of Congruent
• Congruent means equal
• Transitive Property

Tags

CCSS.HSG.CO.B.7

If A and B are vertical angles, what can we conclude about A and B?

• they are complementary angles
• they are supplementary angles
• they are congruent angles
• they are adjacent angles

Tags

CCSS.7.G.B.5