In parallelogram ABCD, AB = 50 cm and E is a point on AD such that AB = AE and CD = CE. Determine DE.

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2. In parallelogram ABCD, AB = 50 cm and E is a point on AD such that AB = AE and CD = CE.

Given:

• ABCD is a parallelogram.
• $AB = 50 \text{ cm}$
• $E$ is a point on $AD$.
• $AB = AE$
• $CD = CE$

a) Determine DE

Step 1: Use properties of a parallelogram and given information.
In a parallelogram, opposite sides are equal.

$$AB = CD = 50 \text{ cm}$$

We are given $AB = AE$, so $AE = 50 \text{ cm}$.
We are given $CD