Application
The Distance Formula

The Distance Formula Problem Set

Use your knowledge of the Distance Formula to answer the following questions.

  1. What is the distance between points G(4, 9) and H(−2, 12)? Round your answer to the nearest tenth.
  2. Find the distance between points Q(−8, 11) and L(0, −5)?Round your answer to the nearest tenth.
  3. What is the length of OH? Round your answer to the nearest tenth.
    graph showing line segment where point H is (-7, -4) and point O is (5, 6)
  4. What is the distance between V and T? Round your answer to the nearest tenth.
    graph showing line segment where point V is (-2, 7) and point T is (10, 2)
  5. Determine if KW and JK are congruent using the distance formula. Explain why or why not.
    • KW has the points K(−2, 5) and W(8, −9)
    • JK has the points J(14, −8) and K(4, −6)

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