Form 14: Distance Formula Algebraic Steps

Questions

1. MultiChoice

   To find the distance between (1, 3) and (4, 7), what is (x2 - x1)^2 + (y2 - y1)^2?

2. MultiChoice

   For points (2, 5) and (8, 13), delta x = 6 and delta y = 8. What is delta x^2 + delta y^2?

3. MultiChoice

   For points (-1, 2) and (11, 7), what is the sum of the squares of the horizontal and vertical distances?

4. MultiChoice

   If (x2 - x1)^2 = 64 and (y2 - y1)^2 = 225, what is the distance d between the two points?

5. MultiChoice

   If horizontal change is 9 and vertical change is 12, what is d^2 (distance squared)?

6. MultiChoice

   For points (0, 0) and (a, b), if a^2 + b^2 = 625, what is the distance between the points?

7. MultiChoice

   If the legs of a right triangle on a coordinate grid are 15 and 20, what is the hypotenuse squared?

8. MultiChoice

   Calculate (x2 - x1)^2 + (y2 - y1)^2 for points (-3, -4) and (5, 11).

9. MultiChoice

   If (x2 - x1)^2 + (y2 - y1)^2 = 100, what is the distance between the two points?

10. MultiChoice

    For points (3, 1) and (15, 10), what is the sum delta x^2 + delta y^2?

11. MultiChoice

    If horizontal leg is 7 and vertical leg is 24, what is the hypotenuse squared?

12. MultiChoice

    If the distance between two points is 13, what is the sum of the squares of the horizontal and vertical distances?