Distances — Quiz 1

Questions in this quiz (10)

1. Which of the following is / are formulas for finding the distance between two points on the coordinate plane?I. $$d = |x_2 - x_1|$$II. $$d = \sqrt{(x_2 - x_1)^2 - (y_2 - y_1)^2}$$III. $$d = |y_2 - y_1|$$IV. $$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$

   • I and III
   • II and IV
   • IV
   • I and II

2. What are the coordinates of the midpoint of a line segment joining the points $$A(4,1)$$ and $$B(6,5)$$?

   • $$(5,3)$$
   • $$(2,3)$$
   • $$(3,2)$$
   • $$(5,4)$$

3. Find the distance from point $$Q(-5,4)$$ to $$y$$-axis.

   • 5
   • 4
   • $$\sqrt{43}$$
   • 9

4. Find the distance between two parallel lines: $$x=4$$ and $$x=-5$$.

   • 1
   • 9
   • 5
   • 4

5. Find the length of the segment. Round to the nearest tenth of a unit.

   • $$13.6$$
   • $$11.3$$
   • $$9.6$$
   • $$10.7$$

6. Points P and C are points on the coordinate plane as shown in the figure below.If the coordinates of P and C are (-1, 2) and (8, 2) respectively, which of the following would give the correct distance between two points?

   • $$|8 - (-1)|$$
   • $$|2 - (-2)|$$
   • $$|8 - 2|$$
   • $$|8 + 2|$$

7. What is the distance between two points as shown in the figure?

   • $$10.0$$
   • $$8.0$$
   • $$4.5$$
   • $$8.9$$

8. A school is mapped on the coordinate grid with the main gate at the origin. The library is located at the point $$(6,-7)$$. What is the distance between the main gate and the library?

   • $$9$$
   • $$\sqrt{85}$$
   • $$8.5$$
   • $$\sqrt{50}$$

9. Sophia is designing a park layout on a coordinate grid. She plans to place a fountain at the point $$(6,-4)$$.The electricity source is located at the point $$(-3,2)$$. What is the length of the cable needed to connect the fountain to the electricity source?

   • 10.8
   • $$\sqrt{113}$$
   • 9.7
   • $$\sqrt{91}$$

10. Which of the following are the coordinates of the midpoint M, given that the endpoints of a line segment are A(-6,9) and B(10,-3)?

    • $$(2,3)$$
    • $$(-2,4)$$
    • $$(8,-6)$$
    • $$(-8,6)$$