How do you prove the converse of the perpendicular bisector theorem?

How do you find the converse of the perpendicular bisector theorem?

The perpendicular bisector theorem states that any point on the perpendicular bisector is equidistant from both the endpoints of the line segment on which it is drawn.



Perpendicular Bisector Theorem Converse Proof

1. AC= BC.
2. CD = CD(common)
3. ∠ADC = ∠BDC = 90°

How do you prove a perpendicular bisector of a triangle?

Video quote: This is a pretty straightforward proof. If we know that the red line is a perpendicular bisector of this blue segment that tells us two things first the segment ad is congruent to the segment BD.

How do you prove the angle bisector theorem?

Video quote: Down here let me call it point D. The angle bisector theorem angle bisector or bisector theorem tells us that the ratio between the sides that aren't this bisector.

How do you prove a perpendicular bisector in a circle?

Video quote: And we create two right-angled triangles this means that we have proven that the perpendicular bisector of any cord of a circle does pass through the center of the circle.

How do you prove perpendicular?

If the slopes of two lines can be calculated, an easy way to determine whether they are perpendicular is to multiply their slopes. If the product of the slopes is , then the lines are perpendicular. In this case, the slope of the line is and the slope of the line is .