Form 10: Geometry and Rationality Exercise

Form 10: Geometry and Rationality

10 minutes 2 views 0 saves EN
Send as Assignment
Form 10: Geometry and Rationality

Apply concepts of rational and irrational numbers to geometric contexts such as side lengths and perimeters. Determine whether geometric measurements yield rational values.

Questions

  1. MultiChoice

    A square has an area of 25 square units. Is its side length rational or irrational?

  2. MultiChoice

    A square has an area of 20 square units. Is its side length rational or irrational?

  3. MultiChoice

    A circle has a radius of 3 units. Is its circumference (2 * pi * r) rational or irrational?

  4. MultiChoice

    A right triangle has legs of length 3 and 4. Is the hypotenuse rational or irrational?

  5. MultiChoice

    A right triangle has legs of length 1 and 2. Is the hypotenuse (square root of 5) rational or irrational?

  6. MultiChoice

    A square has side length 4. Is its perimeter rational or irrational?

  7. MultiChoice

    A circle has diameter equal to 7 / pi. Is its circumference (pi * d) rational or irrational?

  8. MultiChoice

    A square has side length square root of 3. Is its area rational or irrational?

  9. MultiChoice

    A rectangle has side lengths 2 and square root of 5. Is its area rational or irrational?

  10. MultiChoice

    A cube has a volume of 27 cubic units. Is its edge length rational or irrational?

  11. MultiChoice

    A cube has a volume of 10 cubic units. Is its edge length rational or irrational?

  12. MultiChoice

    A circle has radius 1 / pi. Is its area (pi * r^2) rational or irrational?