Question

LAST question i'm sorry!! 15 POINTS TO WHOEVER KNOWS IT AND CAN GIVE ME A GOOD EXPLANATION ON WHY IT'S THE ANSWER!!

Answer 1

• The correct option is (a) that is perpendicular bisector of a line segment.

Explanation:

1. Draw the right picture according to the steps in the problem.
2. 
   `\therefore` AC = CB , AD = BD , CD = CD
3. 
   `\therefore` ∆ACD
   `\cong` ∆BCD
4. 
   `\therefore`
   `\bf\angle{ACD} = \angle{BCD}`
5. 
   `\therefore` AC = BC [
   `\bf\angle{ACD} = \angle{BCD}` ]
6. 
   `\therefore` ∆ACB is an isosceles triangle, CO is the midlie of AB, the height of AB.

• [The angular bisector of the top angle of an isosceles triangle, the midline of the base, the height of the base is the same line.]

`\therefore` CD is perpendicular bisector of AB.