# Math

posted by .

Given a circle with chord AB and diameter CD, prove that triangle ABD is isosceles if AB is perpendicular to CD.

• Math -

Statements: Reasons:
1.AE=BE 1.Opposite the equal sides.

2.angle AED = Angle BED

SSS
congruent

## Similar Questions

1. ### Geometry

Prove that the tangents to a circle at the endpoints of a diameter are parallel. State what is given, what is to be proved, and your plan of proof. Then write a two-column proof. Hint draw a DIAGRAM with the points labeled. Can some …
2. ### geometry

suppose the diameter of a circle is 20in. long and a chord is 16in. long. What is the distance from the center of the circle to the chord Draw a radius from the center to the end of the chord. THe draw a radius from the center perpendicular …
3. ### Math- Circles

Suppose you have a perpendicular bisector of a chord passing through the center of a circle. The perpendicular from the center of the circle bisects the chord giving the chord two equal sides.Are the two sides guaranteed to be perpendicular?
4. ### Geometery

I am ask to write a two column proof. Given that AD is the diameter of circle O, and DC is tangent to O at D. Prove that Triangle ABD ~ (congruent) to triangle ADC
5. ### geometry

Write a paragraph proof for the following given- AD bisects CB and AD is perpendicular to CB. Prove- triangle ACD = triangle ABD
6. ### math

Chord BC is drawn in a circle with a radius of 3cm. Chord BS is 4cm long. Find the perpendicular distance from A to chord BC