3.5 Perpendicular bisectors Quiz

1. Find the midpoint of $(-4,3)$ and $(6,9)$.

• A. $(5,3)$
• B. $(1,6)$
• C. $(2,12)$
• D. $(10,6)$

2. A line has gradient $\frac35$. What is the gradient of a line perpendicular to it?

• A. $-\frac35$
• B. $\frac53$
• C. $-\frac53$
• D. $\frac35$

3. Find the equation of the perpendicular bisector of the points $(0,2)$ and $(6,6)$.

• A. $y=-\frac23x+6$
• B. $y=\frac32x-\frac12$
• C. $y=-\frac32x+4$
• D. $y=-\frac32x+\frac{17}{2}$

4. Which point lies on the perpendicular bisector of $(1,0)$ and $(5,0)$?

• A. $(3,7)$
• B. $(7,3)$
• C. $(0,3)$
• D. $(4,0)$

5. A segment lies on $y=2x+1$ and has midpoint $(3,7)$. Find the equation of its perpendicular bisector.

• A. $y=2x+1$
• B. $y=-\frac12x+7$
• C. $y=-\frac12x+\frac{17}{2}$
• D. $y=-2x+13$