Proof by Contradiction

Which statement contradicts the other three?

• Sophie recycles to save resources

• Sophie is a vegan because she does not believe in using animal products

• Sophie volunteers for PETA

• Sophie wears leather shoes

Which statement contradicts the other three?

• Brian loves Boston

• Brian has Celtics season tickets

• Brian loves Dunkin

• Brian is a Yankees fan

Which statement contradicts the other three?

• Meg has Toby Keith on her Spotify playlist

• Meg has Snoop Dog on her Spotify playlist

• Meg loves loud music

• Meg hates Country music

Which statement contradicts the other three?

• Any number multiplied by 2 is even

• Any number that can be divided by 2 is even

• Any number x such that 2x is even

• Any number x such that (2x + 1) is even

Tags

CCSS.6.EE.A.4

Which statement contradicts the other three?

• A line segment is a line bounded by 2 endpoints

• A ray is straight line starting at an endpoint

• A line is the infinite set of straight points between and beyond 2 points

• 2 lines intersect at 2 points

Tags

CCSS.HSG.CO.A.1

Which statement contradicts the other three?

• Chris has decided to buckle down and get serious about his math grades.

• Chris has hired a math tutor.

• Chris has talked to his math teacher about improving his grades.

• Chris will not be doing his math homework this term.

Which statement contradicts the other three?

• A square has 2 sets of opposite parallel sides

• A square has 2 sets of opposite congruent sides

• A square has 4 right interior angles

• A square has complementary consecutive interior angles

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.11

Which statement contradicts the other three?

• The area of circle A is 36π

• The area of circle B is 36π

• The diameter of circle B is 12π

• The radii of circle A and circle B are congruent

Tags

CCSS.7.G.B.4

CCSS.7.G.B.6

Which statement contradicts the other three?

• a = 2x + 3

• b = 5(x – 1)

• x = 6 when a = b

• a = 16

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Which statement contradicts the other three?