Trapezoid in the context of Prismatoid


Trapezoid in the context of Prismatoid

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⭐ Core Definition: Trapezoid

In geometry, a trapezoid (/ˈtræpəzɔɪd/) in North American English, or trapezium (/trəˈpziəm/) in British English, is a quadrilateral that has at least one pair of parallel sides.

The parallel sides are called the bases of the trapezoid. The other two sides are called the legs or lateral sides. If the trapezoid is a parallelogram, then the choice of bases and legs is arbitrary.

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👉 Trapezoid in the context of Prismatoid

In geometry, a prismatoid is a convex polyhedron whose vertices all lie in two parallel planes. Its lateral faces can be trapezoids or triangles. If both planes have the same number of vertices, and the lateral faces are either parallelograms or trapezoids, it is called a prismoid.

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Trapezoid in the context of Ischia

Ischia (/ˈɪskiə/ ISK-ee-ə, Italian: [ˈiskja], Neapolitan: [ˈiʃkjə]) is a volcanic island in the Tyrrhenian Sea. It lies at the northern end of the Gulf of Naples, about 30 kilometres (19 miles) from the city of Naples. It is the largest of the Phlegrean Islands. Although inhabited since the Bronze Age, as a Greek emporium it was founded in the 8th or 9th century BCE, and known as Πιθηκοῦσαι, Pithekoūsai.

Roughly trapezoidal in shape, it measures approximately 10 km (6 miles) east to west and 7 km (4 miles) north to south and has about 34 km (21 miles) of coastline and a surface area of 47 square kilometres (18.1 sq mi). It is almost entirely mountainous; the highest peak is Mount Epomeo, at 788 metres (2,585 feet). The island is not very densely populated, with 20,000 residents. Ischia is the name of the main comune of the island. The other comuni of the island are Barano d'Ischia, Casamicciola Terme, Forio, Lacco Ameno and Serrara Fontana.

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Trapezoid in the context of 7 World Trade Center (1987–2001)

7 World Trade Center (7 WTC, WTC-7, or Tower 7), colloquially known as Building 7 or the Salomon Brothers Building, was an office building constructed as part of the original World Trade Center Complex in Lower Manhattan, New York City. The tower was located on a city block bounded by West Broadway, Vesey Street, Washington Street, and Barclay Street on the east, south, west, and north, respectively. It was developed by Larry Silverstein, who held a ground lease for the site from the Port Authority of New York and New Jersey, and designed by Emery Roth & Sons. It was destroyed during the September 11 attacks due to structural damage caused by fires. It experienced a period of almost free-fall, total collapse acceleration lasting approximately 2.25 seconds during its 5.4-second collapse, as acknowledged in the NIST final report.

The original 7 World Trade Center was 47 stories tall, clad in red granite masonry, and occupied a trapezoidal footprint. An elevated walkway spanning Vesey Street connected the building to the World Trade Center plaza. The building was situated above a Consolidated Edison power substation, which imposed unique structural design constraints. The building opened in 1987, and Salomon Brothers signed a long-term lease the next year, becoming the anchor tenant of 7 WTC.

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Trapezoid in the context of Phenocryst

A phenocryst is an early forming, relatively large and usually conspicuous crystal distinctly larger than the grains of the rock groundmass of an igneous rock. Such rocks that have a distinct difference in the size of the crystals are called porphyries, and the adjective porphyritic is used to describe them. Phenocrysts often have euhedral forms, either due to early growth within a magma, or by post-emplacement recrystallization. Normally the term phenocryst is not used unless the crystals are directly observable, which is sometimes stated as greater than 0.5 mm (0.020 in) in diameter. Phenocrysts below this level, but still larger than the groundmass crystals, are termed microphenocrysts. Very large phenocrysts are termed megaphenocrysts. Some rocks contain both microphenocrysts and megaphenocrysts. In metamorphic rocks, crystals similar to phenocrysts are called porphyroblasts.

Phenocrysts are more often found in the lighter (higher silica) igneous rocks such as felsites and andesites, although they occur throughout the igneous spectrum including in the ultramafics. The largest crystals found in some pegmatites are often phenocrysts being significantly larger than the other minerals.

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Trapezoid in the context of Occipital bone

The occipital bone (/ˌɒkˈsɪpɪtəl/) is a cranial dermal bone and the main bone of the occiput (back and lower part of the skull). It is trapezoidal in shape and curved on itself like a shallow dish. The occipital bone lies over the occipital lobes of the cerebrum. At the base of the skull in the occipital bone, there is a large oval opening called the foramen magnum, which allows the passage of the spinal cord.

Like the other cranial bones, it is classed as a flat bone. Due to its many attachments and features, the occipital bone is described in terms of separate parts. From its front to the back is the basilar part, also called the basioccipital, at the sides of the foramen magnum are the lateral parts, also called the exoccipitals, and the back is named as the squamous part. The basilar part is a thick, somewhat quadrilateral piece in front of the foramen magnum and directed towards the pharynx. The squamous part is the curved, expanded plate behind the foramen magnum and is the largest part of the occipital bone.

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Trapezoid in the context of Base (geometry)

In geometry, a base is a side of a polygon or a face of a polyhedron, particularly one oriented perpendicular to the direction in which height is measured, or on what is considered to be the "bottom" of the figure. This term is commonly applied in plane geometry to triangles, parallelograms, trapezoids, and in solid geometry to cylinders, cones, pyramids, parallelepipeds, prisms, and frustums.

The side or point opposite the base is often called the apex or summit of the shape.

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Trapezoid in the context of Hip roof

A hip roof, hip-roof or hipped roof, is a type of roof where all sides slope downward to the walls — thus, a hipped roof has no gables or other vertical sides to the roof.Variants of hipped roofs include the Simple Hip Roof (most common, four slopes meeting at a central ridge), Pyramid Hip Roof (a square base where all four triangular sides meet at a single peak), Cross Hip Roof (with multiple intersecting ridges for L- or T-shaped buildings), and Half Hip Roof (where gable ends are partially "clipped" with a small hip section). Other variations include the Dutch Gable Roof (a gable section on top of a hip roof), the Mansard Roof (a hip roof with two different pitches on each side), and the Hip-and-Valley Roof (often a blend for complex structures).

A square hip roof is shaped like a pyramid. Hip roofs on houses may have two triangular sides and two trapezoidal ones. A hip roof on a rectangular plan has four faces. They are almost always at the same pitch or slope, which makes them symmetrical about the centerlines. Hip roofs often have a consistent level fascia, meaning that a gutter can be fitted all around. Hip roofs often have dormer slanted sides.

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Trapezoid in the context of Trapeze

A trapeze is a short horizontal bar hung by ropes, metal straps, or chains, from a ceiling support. It is an aerial apparatus commonly found in circus performances. Trapeze acts may be static, spinning (rigged from a single point), swinging or flying, and may be performed solo, double, triple or as a group act.

The name of the apparatus reflects the trapezoid shape made by the horizontal bar, ropes and ceiling support.

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Trapezoid in the context of Rhomboid

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. The congruence of opposite sides and opposite angles is a direct consequence of the Euclidean parallel postulate and neither condition can be proven without appealing to the Euclidean parallel postulate or one of its equivalent formulations.

By comparison, a quadrilateral with at least one pair of parallel sides is a trapezoid in American English or a trapezium in British English.

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Trapezoid in the context of Royal Exchange, London

The Royal Exchange in London was founded in the 16th century by the merchant Sir Thomas Gresham on the suggestion of his factor Richard Clough to act as a centre of commerce for the City of London. The site was provided by the City of London Corporation and the Worshipful Company of Mercers, who still jointly own the freehold. The original foundation was ceremonially opened by Queen Elizabeth I who granted it its "royal" title. The current neoclassical building has a trapezoidal floor plan and is flanked by Cornhill and Threadneedle Street, which converge at Bank junction in the heart of the city. It lies in the Ward of Cornhill.

The exchange building has twice been destroyed by fire and subsequently rebuilt. The present building was designed by Sir William Tite in the 1840s. The site was notably occupied by the Lloyd's insurance market for nearly 150 years. Today, the Royal Exchange contains restaurants and luxury shops.

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Trapezoid in the context of Box girder bridge

A box girder bridge, or box section bridge, is a bridge in which the main beams comprise girders in the shape of a hollow box. The box girder normally comprises prestressed concrete, structural steel, or a composite of steel and reinforced concrete. The box is typically rectangular or trapezoidal in cross-section. Box girder bridges are commonly used for highway flyovers and for modern elevated structures of light rail transport. Although the box girder bridge is normally a form of beam bridge, box girders may also be used on cable-stayed and other bridges.

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Trapezoid in the context of Tangential polygon

In Euclidean geometry, a tangential polygon, also known as a circumscribed polygon, is a convex polygon that contains an inscribed circle (also called an incircle). This is a circle that is tangent to each of the polygon's sides. The dual polygon of a tangential polygon is a cyclic polygon, which has a circumscribed circle passing through each of its vertices.

All triangles are tangential, as are all regular polygons with any number of sides. A well-studied group of tangential polygons are the tangential quadrilaterals, which include the rhombi and kites.

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Trapezoid in the context of Vowel diagram

A vowel diagram or vowel chart is a schematic arrangement of vowels within a phonetic system. Vowels do not differ in place, manner, or voicing in the same way that consonants do. Instead, vowels are distinguished primarily based on their height (vertical tongue position), backness (horizontal tongue position), and roundness (lip articulation). Depending on the particular language being discussed, a vowel diagram can take the form of a triangle or a quadrilateral.

The vowel diagram of the International Phonetic Alphabet is based on the cardinal vowel system, displayed in the form of a trapezium. In the diagram, convenient reference points are provided for specifying tongue position. The position of the highest point of the arch of the tongue is considered to be the point of articulation of the vowel.

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Trapezoid in the context of Temoe

Temoe, or Te Moe, is a small atoll of the Gambier Islands in French Polynesia. It is located in the far southeast of the Tuamotu group archipelago. It lies about 37 km southeast from the Gambier Islands and more than 1,700 kilometres (1,100 miles) southeast from Mataiva, at the other end of the Tuamotu archipelago.

Temoe Atoll is trapezoidal in shape and bound by a continuous reef with many small shallow spillways. It is 6.8 kilometres (4.2 miles) in length and has a maximum width of 4.2 kilometres (2.6 miles). The lagoon has a maximum depth of 23 metres (75 feet). Its islands are low and flat and the lagoon has no navigable pass to enter it.

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