`A B C D` is a parallelogram. `L` and `M` are points on `A B` and `D C` respectively and `A L=C Mdot` prove that `L M` and `B D` bisect each other.

Explanation

To prove that lines LM and BD bisect each other in the parallelogram ABCD, given that AL = CM, we can follow these steps:

### Step 1: Understand the Given Information
We have a parallelogram ABCD with points L and M on sides AB and DC respectively such that AL = CM.

### Step 2: Express AL and CM in Terms of Other Segments
Since L is on AB and M is on DC, we can express:
- AL = AB - BL
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