Multiple approaches to logical arguments

12 questions

1. If one shape can fit exactly on top of another using rotation, reflection or translation they are __________.
2. The interior angles of any pentagon sum to ___°.
3. The diagram shows two parallel lines and a transversal. Which angle is the alternate angle to a?
4. The diagram shows two parallel lines and a transversal. Which angle is the corresponding angle to a?
5. Use the diagram to match the lines to their equations.
6. Use the diagram to match the curves to their equations.
7. What is the next step for the proof of the circle theorem "The angle in a semicircle is a right angle"?
8. What is the next step for the proof that "The sum of the interior angles in any polygon is 180(n − 2) where n is the number of sides" ?
9. Arrange the steps of this proof in order to show that "The tangents to a circle from an external point are equal in length".
10. Which of these values of x are counterexamples to the conjecture "For all values of x, (x-3)^2 > x-3"?
11. Which of these best describes all the counterexamples to the conjecture "For all values of x, 2x > x-2"?
12. Use the graphs to decide which of these conjectures are true.

License: OGL