Question

Отрезки МК и ОD пересикаются в точке Е и делятся ею пополам . Докажите что МО=DК

Answer 1

ME=EK; DE=EO; угол DEK= углуMED( как вертикальные), следовательно трегольники MED=DEK; MD=DK.

Answer 2

Proving MO = DK

Given that the line segments MK and OD intersect at point E and divide each other in half, we need to prove that MO is equal to DK.

Proof:

Let's consider the given information that MK and OD intersect at point E and divide each other in half. This means that ME = EK and OE = ED.

Now, we can use the properties of a line segment to prove that MO = DK.

From the given information, we know that ME = EK and OE = ED.

Since MO = ME + EO and DK = DE + EK, and we know that ME = EK and OE = ED, we can substitute these values into the equations for MO and DK.

Substituting the values, we get: MO = ME + EO = EK + OE = DK = DE + EK

Since ME = EK and OE = ED, we can substitute these values into the equations for MO and DK.

Therefore, MO = DK.

This proves that MO is equal to DK.