The sedimentary rock made up of fragments with sharp edges is called breccia.

Here's why:

* Breccia is formed from angular fragments of rock that are cemented together. These fragments are often large and have sharp, jagged edges, indicating they haven't been transported far from their source.

* Conglomerate, another type of sedimentary rock composed of rounded fragments, is different because the fragments are smoothed and rounded due to transportation and abrasion.

Let me know if you have any other questions about rocks!