Math Problem Statement

Find the location of Q, the midpoint of PR, given P = -7.3 and R = 2.4.

Solution

To find the location of point QQ, the midpoint of the line segment PRPR, you can use the midpoint formula:

Q=P+R2Q = \frac{P + R}{2}

Here:

  • P=7.3P = -7.3
  • R=2.4R = 2.4

Now let's calculate the midpoint:

Q=7.3+2.42=4.92=2.45Q = \frac{-7.3 + 2.4}{2} = \frac{-4.9}{2} = -2.45

Thus, the location of point QQ is 2.45-2.45.

Would you like further details or have any questions?

Here are five related questions to explore further:

  1. How is the midpoint formula derived?
  2. How can the midpoint formula be extended to three-dimensional space?
  3. What is the difference between finding a midpoint and calculating an average?
  4. How can you verify the correctness of a midpoint in a coordinate plane?
  5. What other geometric properties can be derived from the midpoint of a segment?

Tip: Always check if your values are substituted correctly into the formula, especially when dealing with negative numbers.

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Math Problem Analysis

Mathematical Concepts

Geometry
Coordinate Geometry
Midpoints

Formulas

Midpoint formula: Q = (P + R) / 2

Theorems

Midpoint Theorem

Suitable Grade Level

Grades 6-8