Question

In the figure, is the perpendicular bisector of .

Prove:

A line CD is a perpendicular bisector of another line AB. A triangle is drawn by the points of A, B, and C.
Complete the proof.

Answer 1

To prove that the line CD is a perpendicular bisector of the line AB, we need to show that it is both perpendicular to AB and bisects it into two equal halves.

Step-by-step explanation:

To prove that the line CD is a perpendicular bisector of the line AB, we need to show that it is both perpendicular to AB and bisects it into two equal halves.

To show that CD is perpendicular to AB, we can use the fact that the slopes of perpendicular lines are negative reciprocals of each other. Calculate the slope of AB, and then calculate the negative reciprocal slope of CD. If these slopes are equal, then CD is perpendicular to AB.

To show that CD bisects AB, we can calculate the midpoint of AB and compare it to the coordinates of point C. If the coordinates of C are the same as the midpoint of AB, then CD bisects AB.

Answer 2

heres what i got

Step-by-step explanation:

2. definition of a perpendicular bisector

5. reflexive property of congruence

11. definition of square root