Question: Cypress and Baumea, are types of a woody perennial plant?

Context paragraphs:
Hypericum terrae-firmae: Hypericum terrae-firmae is a woody perennial flowering plant in the St. John's wort family Hypericaceae.  It is an endemic plant species of Belize.

Vitex rotundifolia: Vitex rotundifolia, the roundleaf chastetree or beach vitex is a species of "Vitex" that is native to seashores throughout the Pacific.  Its range includes continents and islands stretching from India east to Hawaii and from Korea south to Australia.  This woody perennial plant typically grows approximately 1 m in height.  It has a sprawling growth habit and produces runners that root regularly at nodes.  This rooting pattern allows the plant to spread rapidly.  At maturity, "V. rotundifolia" produces blue-purple flowers that are borne in clusters and ultimately yield small brown-black fruits.  Its leaves are rounded at the tips with green upper surfaces and silver lower surfaces.  While the plant is a seashore obligate, it grows over a wide latitude range.  It has been used for medicinal purposes throughout its native range.  More recently, it was imported to the eastern United States where it has become a seashore invasive.  Control efforts are presently underway to protect the fragile beach dune ecosystem.

Baumea: Baumea is a genus of the sedge family, which includes around 30 species native to Madagascar and the Pacific Islands, with 15 species in Australia.  All are perennial rhizomatous herbs, with leaves and stems very similar in appearance.  The inflorescence is terminal, with the flowers tightly clustered or loosely arranged.  The fruits are small nuts.

Bridge graft: A bridge graft is used to supply nutrients to the rootstock of a woody perennial when the bark, and therefore the conductive tissues, have been removed from part of the trunk.  This wound is often caused by rabbits or other rodents, stripping the bark away and girdling the tree.  The inability of the plant to transport food manufactured in the leaves down to the root system, causes the root system to die and in the death cycle, the resulting lack of root system causes the upper portions of the plant to die.  Where one-quarter or less of the trunk circumference has been girdled, it may not be necessary to use this technique.  It is also difficult on small caliper tree trunks.  A bridge graft uses scions to 'bridge' the gap.  Each scion is taper cut in order to accommodate the need for matching the cambium layers of the scion with those of the tree being repaired.  Once in place the graft wounds must be completely sealed to prevent moving of tissues which would inhibit them from joining together and to prevent dissection of the site which would lead to the death of the scions.

List of bamboo species: Bamboo    is a group of woody perennial grasses in the true grass family Poaceae, which is a large family with over 10,000 species.  In the tribe "Bambuseae" also known as bamboo, there are 91 genera and over 1,000 species.  The size of bamboo varies from small annuals to giant timber bamboo.  Bamboo evolved only 30 to 40 million years ago, after the demise of the dinosaurs.  Bamboo is the fastest-growing woody plant in the world.  It can grow up to 91–122 centimetres/day (3.8-5.0 centimetres/hr).

Tree: In botany, a tree is a perennial plant with an elongated stem, or trunk, supporting branches and leaves in most species.  In some usages, the definition of a tree may be narrower, including only woody plants with secondary growth, plants that are usable as lumber or plants above a specified height.  Trees are not a taxonomic group but include a variety of plant species that have independently evolved a woody trunk and branches as a way to tower above other plants to compete for sunlight.  Trees tend to be long-lived, some reaching several thousand years old.  In looser definitions, the taller palms, tree ferns, bananas and bamboos are also trees.  Trees have been in existence for 370 million years.  It is estimated that there are just over 3 trillion mature trees in the world.

Cypress: Cypress is a conifer tree or shrub of northern temperate regions that belongs to the family Cupressaceae.  The word "cypress" is derived from Old French "cipres", which was imported from Latin "cypressus", the latinisation of the Greek κυπάρισσος ("kyparissos").

Eriogonum gilmanii: Eriogonum gilmanii is a species of wild buckwheat known by the common name Gilman's buckwheat.  This plant is endemic to Inyo County, California, where it is known only from the desert mountain slopes of the Cottonwood, Last Chance, and Panamint Ranges.  This is a flat mat-forming, woody perennial herb which grows in patches under 20 centimeters wide on rocky soils.  Its tiny fleshy leaves, each under half a centimeter wide, are covered in a dense hairy white wool.  The plant blooms in showy erect heads of small, inflated flowers, each a few millimeters wide and yellowish or orange with red stripes.

Coreopsis gigantea: Coreopsis gigantea with the common name giant coreopsis, is a woody perennial plant native to coastal regions of central and southern California and also to northern Baja California.

Perennial plant: A perennial plant or simply perennial is a plant that lives for more than two years.  The term ("per-" + "-ennial", "through the years") is often used to differentiate a plant from shorter-lived annuals and biennials.  The term is also widely used to distinguish plants with little or no woody growth from trees and shrubs, which are also technically perennials.

Supporting paragraphs: Cypress Baumea
Answer: yes