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What's on the worksheet
- Check whether each student's first line is the full negation of the claim.
- Prove by contradiction that no power of 2 ends in 0.
- Prove the cube root of 4 is irrational by counting factors of 2.
- Decide if each statement is true, then disprove it or prove it by contradiction.
- Find what is wrong in Emma's proof about multiples of 4.
- Prove that a and b are not both odd in a sum of squares.
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The free lesson teaches it with worked examples and practice problems.
Proof by contradiction: the lesson ›More Chapter 5 worksheets: Triangle segments, centers and inequalities
- 5.1Perpendicular bisectors of a triangle
- 5.2Circumcenter
- 5.3Angle bisectors of a triangle
- 5.4Incenter
- 5.5Medians and altitudes
- 5.6Centroid
- 5.7Orthocenter and the Euler line
- 5.8Sides and angles in order
- 5.9Proof by contradiction
- 5.10Indirect proof
- 5.11Hinge theorem