Question

Помогите плиз. В окружности проведен диаметр MN и параллельные хорды MK и NL.Докажите,что данные хорды равны.

Answer 1

MK || NL, а MN - секущая соответственно MKNL-параллелограмм из этого следует чтооооо MK =  NL
 p.s Дано и Д-во сама пиши. 

Answer 2

Proof that the chords MK and NL are equal in a circle with diameter MN

To prove that the chords MK and NL are equal in a circle with diameter MN, we can use the properties of parallel chords in a circle.

Let's consider the given circle with diameter MN and parallel chords MK and NL.

Claim: Chords MK and NL are equal.

Proof:

1. Since MK and NL are parallel chords, they intercept the same arc on the circle. 2. According to the Intercepted Arc Theorem, if two chords intercept the same arc on a circle, then they are equal in length. 3. Therefore, MK and NL are equal in length.

Thus, we have proved that the chords MK and NL are equal in a circle with diameter MN.

Please let me know if you need any further clarification or assistance.