Question

Line segments AB and CD arecongruent. Their coordinatesare AC-11, -3), B(-2,5), C(7,1)and D(x, 9). Find the value of x.

Answer 1

We have the following points:

A(-11, -3) and B(-2,5)

The distance between AB is:

`\left(|-11--2|,|-3-5|\right)=(9,8)`

C(7,1) and D(x, 9)

`\begin{gathered} 7-x=9 \\ x=-9+7 \\ x=-2 \end{gathered}`

the value of x is -2