The coordinates of the endpoints of ab and cd are a(2,
3), b(8, 1), c(5,2), and d(6,5). which statement about the
line segments is true?
• ab 1 cd, but cd does not bisect ab.
• ab i cd, and cd bisects ab.
• ab is not i to cd, but cd bisects ab.
• ab is not i to cd, and cd does not bisect ab.

Option 1: CD is a perpendicular bisector of AB

Step-by-step explanation:

Let us find out the slopes of various line segments and the Distances and then we will draw the conclusions accordingly.

Formula to find slope

Formula to Find Distance between two points

mAB ( represents , Slope of AB )

1.

2.

3.

4.

5.

mAC = mBC  , and C is common point , hence these three are collinear points  making a straight line whole slope is

Hence CD ⊥ AB

Also

From Point 4 and point 5 above , we see that

AC = CB

Hence CD bisect AB at C, also CD ⊥ AB

There fore

CD is a perpendicular bisector of AB

Therefor option 1 is true