Honors Algebra 2: Practice on Midpoint and Distance Formulas

• Class: Honors Algebra 2
• Author: Peter Atlas
• Text: Algebra and Trigonometry: Structure and Method, Brown

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1. Find the midpoint of the segment joining (-4/3, 2/5) and (-8, 8/3).
Solution

\( \displaystyle \left( - \frac{14}{3}, \frac{23}{15} \right) \)

2. The midpoint of the segment AB is (k, k + 5). The coordinates of point B are (k/2, k - 1). Find the coordinates of point A.
Solution

\(( \displaystyle \frac{3k}{2}, k + 11)\)

3. Find all points P(x, y) that are 5 away from the point (3, -1) and 13 away from the point (-6, 8).
Solution

\((-1, -4)\) and \((6, 3)\)