Question: Are Copiapoa and Lophospermum both cacti?

Context articles: Copiapoa coquimbana
Cereus (plant)
Cactus
Copiapoa atacamensis
Copiapoa echinoides
Copiapoa cinerea
Pereskia
Lophospermum
Copiapoa marginata
Copiapoa

Copiapoa coquimbana is a species of clump-forming cactus native to South America.
 The plant bears 3 cm long yellow flowers in summer, and grows up to 60 cm high and 1 m across.
 The species is named after the city of Coquimbo in Chile.
 Variations include "C. coquimbana" var.
 "fiedleriana", "C. coquimbana" var.
 "wagenknechtii", "C. coquimbana" var.
 "vallenarensis", and "C. coquimbana" subsp.
 "andina".
Cereus is a genus of cacti (family Cactaceae) including around 33 species of large columnar cacti from South America.
 The name is derived from Greek (κηρός) and Latin words meaning "wax" or "torch".
 The genus "Cereus" was one of the first cactus genera to be described; the circumscription varies depending on the authority.
 The term "cereus" is also sometimes used for a ceroid cactus, any cactus with a very elongated body, including columnar growth cacti and epiphytic cacti.
A cactus (plural: "cacti", "cactuses", or "cactus") is a member of the plant family Cactaceae, a family comprising about 127 genera with some 1750 known species of the order Caryophyllales.
 The word "cactus" derives, through Latin, from the Ancient Greek κάκτος , "kaktos", a name originally used by Theophrastus for a spiny plant whose identity is not certain.
 Cacti occur in a wide range of shapes and sizes.
 Most cacti live in habitats subject to at least some drought.
 Many live in extremely dry environments, even being found in the Atacama Desert, one of the driest places on earth.
 Cacti show many adaptations to conserve water.
 Almost all cacti are succulents, meaning they have thickened, fleshy parts adapted to store water.
 Unlike many other succulents, the stem is the only part of most cacti where this vital process takes place.
 Most species of cacti have lost true leaves, retaining only spines, which are highly modified leaves.
 As well as defending against herbivores, spines help prevent water loss by reducing air flow close to the cactus and providing some shade.
 In the absence of leaves, enlarged stems carry out photosynthesis.
 Cacti are native to the Americas, ranging from Patagonia in the south to parts of western Canada in the north—except for "Rhipsalis baccifera", which also grows in Africa and Sri Lanka.
Copiapoa atacamensis is a species of cactus from the Atacama Desert in the province of Antofagasta in northern Chile.
 Its relationship with other species of "Copiapoa", such as "C. calderana", are unclear as of April 2012 .
Copiapoa echinoides is a species of cactus in South America.
Copiapoa cinerea is a species of the genus "Copiapoa" in the family of Cactaceae.
 The epithet "cinerea" comes from the Latin word for ash, by reference to the colour of the epidermis.
Pereskia, as traditionally circumscribed, is a genus of 17 tropical species and varieties of cacti that do not look much like other types of cacti, having substantial leaves and thin stems.
 They originate from the region between Brazil and Mexico.
 Members of this genus are usually referred to as lemon vines, rose cacti or leaf cacti, though the latter also refers to the genus "Epiphyllum".
 The genus is named after Nicolas-Claude Fabri de Peiresc, a 16th-century French botanist.
Lophospermum is a genus of herbaceous perennial climbers or scramblers, native to mountainous regions of Mexico and Guatemala.
 Those that climb use twining leaf stalks.
 Their flowers are tubular, in shades of red, violet and purple, the larger flowers being pollinated by hummingbirds.
 Now placed in the greatly expanded family Plantaginaceae, the genus was traditionally placed in the Scrophulariaceae.
 The close relationship with some other genera, particularly "Maurandya" and "Rhodochiton", has led to confusion over the names of some species.
Copiapoa marginata is a species of clump-forming cactus of South America.
Copiapoa is a genus of cacti from the dry coastal deserts, particularly the Atacama Desert, of northern Chile.
 It comprises about 26 species.
 These species vary in form from spherical to slightly columnar and in color from a brownish to blue-green body.