The correct answer is option 2: Algae.

Bryophytes, such as mosses and liverworts, are photosynthetic organisms. However, they do not possess vascular tissue, such as xylem and phloem, that is responsible for transporting water and nutrients throughout the plant. Additionally, bryophytes do not have true roots like other plants. Instead, they have rhizoids, which are simple structures that anchor the plant to the substrate but do not absorb water or nutrients.

Similarly, algae are also photosynthetic organisms that lack vascular tissue and true roots. Algae are a diverse group of aquatic organisms that range from single-celled forms to larger, multicellular species. Like bryophytes, algae obtain nutrients directly from the surrounding water and do not have specialized structures for water and nutrient transport.

Fungi, option 1, do not carry out photosynthesis. They obtain nutrients through absorption and do not have roots or vascular tissue.

Pteridophytes, option 3, and angiosperms, option 4, are both groups of plants that have true roots and vascular tissue. Pteridophytes include ferns and horsetails, while angiosperms are flowering plants.