Question

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

A) x = 0
B) y = 0
C) y = x
D) x = 10

Answer 1

10

Explanation:

Answer 2

Option D.
`x=10`

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=((x1+x2)/(2),(y1+y2)/(2))`

we have

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

substitute the values

`M=((5+15)/(2),(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`