Question

Mention what can be deduced from the given information.

Given: $AE=DE$and $CE=BE$

Short answer

The information that can be deduced is:

$AC=BD$

Step-by-step solution

Step 1. Observe the diagram.

Here, $AE=DE$and $CE=BE$

Step 2. Show the calculation.

Let $AE=DE=x$and $CE=BE=y$.

Point E lies on the segment AC and BD segment (Addition Postulate).

So, by adding the result obtained is:

$AC=BD=x+y$

Step 3. State the conclusion.

Therefore, the information that can be deduced considering the diagram and the information $AE=DE$and $CE=BE$ is $AC=BD$.