Answer:
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
