Digital SAT Math Practice Question #884
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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 \( A(-4, 0) \) and \( B(4, 6) \). Use midpoint formula to plot \( M(0, 3) \). Enter \( y - 3 = m(x - 0) \) and adjust \( m \) until the line is perpendicular to segment \( AB \).
Step 1: Find the midpoint \( M \) of segment \( AB \): \[ M = \left(\frac{-4 + 4}{2}, \frac{0 + 6}{2}\right) = (0, 3) \] Step 2: Find the slope of segment \( AB \): \[ m_{AB} = \frac{6 - 0}{4 - -4} = 0.75 \] Step 3: The perpendicular bisect...
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