Question

Point B is the midpoint of point C and D. If CB is 14in, what is CD and BD?

Answer 1

`BD = 14\ in`

`CD = 28\ in`

Explanation:

Given

CB = 14in

B as midpoint

Required

Determine CD and BD

Since B is the midpoint, then the two line segments (CB and BD), we have the following relationships:

`CB = BD`

`CD = CB + BD`

Reorder the first equation

`BD = CB`

Substitute 14 for CB

`BD = 14\ in`

Taking the second equation into consideration

`CD = CB + BD`

`CD = 14 + 14`

`CD = 28\ in`