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

Statements: Reasons:
1.AE=BE 1.Opposite the equal sides.
2.angle AED = Angle BED
SSS
congruent
triangle EAD = triangle EBD
Respond to this Question
Similar Questions

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 twocolumn proof. Hint draw a DIAGRAM with the points labeled. Can some … 
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 … 
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? 
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 
geometry
Write a paragraph proof for the following given AD bisects CB and AD is perpendicular to CB. Prove triangle ACD = triangle ABD 
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 
GEOMETRY CIRCLES PLEASE
1.An isosceles triangle with each leg measuring 13 cm is inscribed in a circle . if the altitude to the base is 12 cm find the radius of the circle 2. Circles a and b are tangent at point c. p is on circle a and q is on circle b such … 
GEOMETRY CIRCLE
1.An isosceles triangle with each leg measuring 13 cm is inscribed in a circle . if the altitude to the base is 12 cm find the radius of the circle 2. Circles a and b are tangent at point c. p is on circle a and q is on circle b such … 
GEOMETRY CIRCLES PLEASE
HELP ME PLEASE. 1.An isosceles triangle with each leg measuring 13 cm is inscribed in a circle . if the altitude to the base is 12 cm find the radius of the circle 2. Circles a and b are tangent at point c. p is on circle a and q is … 
math
The base (BC) of an isosceles triangle (ABC) is also the side of a square (BCEF) in which the triangle is inscribed. A perpendicular line is drawn in the triangle from B to AC at D, forming triangle ABD. What is the ratio of triangle …