Question

Which equation represents the perpendicular bisector of the given line segment?

Answer 1

Answer:

Option D. $x=10$

Step-by-step explanation:

step 1

Find the midpoint of the given line segment

we know that

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

we have

$A(5,10),B(15,10)$

substitute the values

$M=(\frac{5+15}{2},\frac{10+10}{2})$

$M=(10,10)$

step 2

Find the equation of the perpendicular bisector

we know that

The equation of a perpendicular bisector is equal to the x-coordinate of the midpoint, because is a vertical line (parallel to the y-axis)

therefore

the equation is equal to

$x=10$

Answer 2

Answer:

10

Step-by-step explanation: