Digital SAT Math Practice Question #883
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A perpendicular bisector passes through the segment's midpoint and has a slope that is the negative reciprocal of the segment's slope.
Desmos Shortcut: Plot \( A(-6, 4) \) and \( B(2, -2) \). Use midpoint formula to plot \( M(-2, 1) \). Enter \( y - 1 = m(x - -2) \) and adjust \( m \) until the line is perpendicular to segment \( AB \).
Step 1: Find the midpoint \( M \) of segment \( AB \): \[ M = \left(\frac{-6 + 2}{2}, \frac{4 + -2}{2}\right) = (-2, 1) \] Step 2: Find the slope of segment \( AB \): \[ m_{AB} = \frac{-2 - 4}{2 - -6} = -0.75 \] Step 3: The perpendicular bi...
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