The question is:
In the following diagram AC=CE and BD=DE .Which of these statements are true ?
1-AB is twice as long as CD
2-AB is parallel to CD
3-Triangle AEB is similar to triangle triangle CED
Note: All these statements are correct.

Could anyone explain how the three statements are correct without using Without Trigonometric ratios especially if there is no link between AE and BE
Edit: I assume we need to use Thales theorem here -