Question

Прямые AB и CD пересекаются в точке O.OA=OB,OC=OD. ДОКАЖИТЕ ЧТО 2) AC\\BD

Answer 1

Решение во вложении.
Используется признак параллельности прямых.

Answer 2

Given Information

We are given that the lines AB and CD intersect at point O. Additionally, OA = OB and OC = OD.

To Prove

We need to prove that AC/BD = 2.

Proof

To prove that AC/BD = 2, we can use the theorem that states that if two triangles have equal angles, then the ratios of their corresponding sides are equal.

Let's consider triangle AOC and triangle BOD. We know that OA = OB and OC = OD. Additionally, angle AOC = angle BOD because they are vertically opposite angles.

According to the theorem mentioned above, we can conclude that the ratios of the corresponding sides of these triangles are equal. Therefore, we have:

AC/BD = AO/BO

Since AO = BO, we can substitute AO with BO:

AC/BD = BO/BO

Simplifying the equation, we get:

AC/BD = 1

Since 1 is not equal to 2, we can conclude that AC/BD is not equal to 2.

Therefore, we cannot prove that AC/BD = 2 based on the given information.

Conclusion

Based on the given information, we cannot prove that AC/BD = 2.