Free Compass Math Practice on Distance and Midpoint - Sample 21

A set of questions, with answers, on distance and midpoint are presented. These questions are similar to those in the compass math test and their answers are at the bottom of the page.

  1. A(2 , 4) and B(x , 6) are points on a standard coordinate plane. Find x so that point M(6 , 5) is the midpoint of segment AB.

    A) 4
    B) 10
    C) 12
    D) - 12
    E) - 10

  2. Find a positive value of y so that the distance between points A(3 , 4) and B(0 , y) is equal to 5.

    A) 1
    B) 4
    C) 5
    D) 7
    E) 8

  3. Find the distance between points A(9 , 7) and B(1 , 1).

    A) 10
    B) 11
    C) 12
    D) 13
    E) 14

  4. Find the midpoint of the segment defined by points C(4 , - 5) and D(-8 , 9).

    A) (2 , 2)
    B) (2 , -2)
    C) (-2 , 2)
    D) (-2 , -2)
    E) (6 , 7)

  5. Find x and y so that point M(4 , - 8) is the midpoint of the segment defined by points C(x + 1 , 0) and D(0 , y - 2).

    A) (3 , - 6)
    B) (8 , - 16)
    C) (3 , - 16)
    D) (7 , - 14)
    E) (7 , 14)

  6. A, B, C and M are points on a standard coordinate plane. M is the midpoint of segment AB and MC is perpendicular to AB. Which of these statments is (are) always true?

    (I) Distance between C and B and distance between C and A are equal.
    (II) Points A, B and M are collinear
    (III) Distance between M and B and distance between M and A are equal.
    A) (I) only
    B) (II) only
    C) (I) and (II) only
    D) (I) , (II) and (III)
    E) (III) only

  7. A(4 , 8), M(4 , 6) and B are points on a standard coordinate plane. Find the coordinates of point B so that M is the midpoint of segment AB.

    A) (0 , 4)
    B) (4 , 4)
    C) (0 , 0)
    D) (4 , - 4)
    E) (-4 , -4 )

  8. A(1 , 3), B(7 , 3) and M are points on a standard coordinate plane. Find the distance between A and M where M is the midpoint of segment AB.

    A) 6
    B) 36
    C) 3
    D) 8
    E) 12

  9. Find the distance bewteen points A(-1 , -1) and (2 , 2).

    A) 2 √ 3
    B) 2 √ 2
    C) 4
    D) 6
    E) 3 √ 2

  10. A(- 1 , - 10) and B ( 20 , - 2) are points on a standard coordinate plane. The midpoint of segment AB is

    A) in Quadrant I
    B) in Quadrant II
    C) in Quadrant III
    D) in Quadrant IV
    E) on the x axis

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