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Distance and Midpoint Formulas

Quiz by Christine Nappe

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10 questions
Show answers
  • Q1
    Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.
    14.9
    11
    7.8
    61
    30s
  • Q2
    A high school soccer team is going to Columbus, Ohio to see a professional soccer game. A coordinate grid is superimposed on a highway map of Ohio. The high school is at point (3, 4) and the stadium in Columbus is at point (7, 1). The map shows a highway rest stop halfway between the high school and the stadium. What are the coordinates of the rest stop? What is the approximate distance between the high school and the stadium? (One unit is approximately equal to 6.4 miles.)
    (5, 2.5), 5 miles
    (1.5, 2.5), 16 miles
    (1.5, 2.5), 32 miles
    (5, 2.5); 160 miles
    30s
  • Q3
    Noam walks home from school by walking 8 blocks north and then 6 blocks east. How much shorter would his walk be if there were a direct path from the school to his house? Assume that the blocks are square.
    10 blocks
    4 blocks
    14 blocks
    the distance would be the same
    30s
  • Q4
    Each unit on the map represents 5 miles. What is the actual distance from Oceanfront to Seaside?
    Question Image
    about 10 miles
    about 40 miles
    about 50 miles
    about 8 miles
    30s
  • Q5
    Find the midpoint
    Question Image
    (-2, 0)
    (-2, -1)
    (-3, 0)
    (-3, -1)
    30s
  • Q6
    Length of MF?
    Question Image
    13
    √13
    2√13
    26
    30s
  • Q7
    Find the perimeter of the triangle with vertices A(–5, –2), B(–2, –2), and C(–5, 2).
    Question Image
    32
    12
    14
    7
    30s
  • Q8
    What is the distance between the two points in simplest radical form? R(–8, –3) and S(–1, –4)
    2√65
    7
    4√3
    5√2
    30s
  • Q9
    M(9, 8) is the midpoint of RS The coordinates of S are (10, 10). What are the coordinates of R?
    (8, 6)
    (11, 12)
    (9.5, 9)
    (18, 16)
    30s
  • Q10
    The Frostburg-Truth bus travels from Frostburg Mall through the City Center to Sojourner Truth Park. The mall is 3 miles west and 2 miles south of the City Center. Truth Park is 4 miles east and 5 miles north of the Center. How far is it from Truth Park to the Mall to the nearest tenth of a mile?
    9.9 miles
    3.2 miles
    3.6 miles
    6.4 miles
    30s

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