Question

На рисунке 2 отрезки ME и PK точкой D делятся пополам. Докажите что угол KMD равен углу PED

Answer 1

Рассмотрим треугольники.
Угол мкd=рdе т.к вертикальные
сторона pd=dk по условию
а md=de по условию
следовательно треугольники равнобедренные
по свойству равнобедренного треугольника углы при основании равны

Answer 2

Given Information

On figure 2, the line segments ME and PK are divided in half by point D.

To Prove

We need to prove that angle KMD is equal to angle PED.

Proof

To prove that angle KMD is equal to angle PED, we can use the fact that when two lines intersect, opposite angles are equal. In this case, we can consider the lines MD and DE, which intersect at point D, and the lines DK and PD, which also intersect at point D.

According to the given information, the line segments ME and PK are divided in half by point D. This means that MD is equal to DE and DK is equal to PD.

Using the fact that opposite angles are equal when two lines intersect, we can conclude that angle KMD is equal to angle PED.

Therefore, we have proved that angle KMD is equal to angle PED.

Note: The given information and proof are based on the assumption that the figure and its labeling accurately represent the situation described in the question.