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Matematik och Logik SAT - Geometry

Här kommer du att lära dig några engelska ord relaterade till geometri, såsom "radian", "parabel", "asymptot" etc. som du behöver för att klara dina SATs.

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SAT Vocabulary for Math and Logic
slope
slope
[Substantiv]

the measure of how steep a line is, found by dividing the change in height by the change in horizontal distance

lutning

lutning

Ex: The slope of the line between points (1, 2) and (3, 6) is 2. 
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arc
arc
[Substantiv]

(geometry) a part of a circle, which is curved

båge, del av en cirkel

båge, del av en cirkel

Ex: In a circle, a minor arc is shorter than a major arc. 
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angle
angle
[Substantiv]

the space between two lines or surfaces that are joined, measured in degrees or radians

vinkel, vinkel (mätning)

vinkel, vinkel (mätning)

Ex: She used a protractor to measure the angle of the triangle accurately. 
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radian
radian
[Substantiv]

a unit for measuring angles, defined by the angle made when the radius of a circle is laid along its edge

radian, en enhet för att mäta vinklar

radian, en enhet för att mäta vinklar

Ex: An angle of 1 radian means the arc length is the same as the radius of the circle. 
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right angle
right angle
[Substantiv]

an angle measuring exactly 90 degrees

rät vinkel, 90 graders vinkel

rät vinkel, 90 graders vinkel

Ex: To construct a square, each corner must form a perfect right angle. 
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acute angle
acute angle
[Substantiv]

an angle that measures between 0 and 90 degrees, which is less than a right angle (90 degrees)

spetsig vinkel, vinkel mindre än 90 grader

spetsig vinkel, vinkel mindre än 90 grader

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vertical angle
vertical angle
[Substantiv]

one of a pair of opposite angles made by two intersecting lines, which are always equal

vertikal vinkel, motstående vinkel

vertikal vinkel, motstående vinkel

Ex: Vertical angles are always congruent to each other. 
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consecutive angle
consecutive angle
[Substantiv]

pairs of angles that share a common side and vertex in a polygon or between intersecting lines

på varandra följande vinklar, intilliggande vinklar

på varandra följande vinklar, intilliggande vinklar

Ex: In a parallelogram, consecutive angles are supplementary, meaning their measures add up to 180 degrees. 
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polygon
polygon
[Substantiv]

(geometry) a flat shape consisting of three or more straight sides

polygon, platt form som består av tre eller flera raka sidor

polygon, platt form som består av tre eller flera raka sidor

Ex: A triangle is the simplest type of polygon with three sides. 
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parallelogram
parallelogram
[Substantiv]

(geometry) any flat shape with four straight sides, the opposite sides of which are equal and parallel to each other

parallellogram, vilken som helst platt form med fyra raka sidor

parallellogram, vilken som helst platt form med fyra raka sidor

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quadrilateral
quadrilateral
[Substantiv]

(geometry) a flat figure with four straight sides and four angles

fyrhörning, platt figur med fyra raka sidor

fyrhörning, platt figur med fyra raka sidor

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hyperbola
hyperbola
[Substantiv]

a geometric curve formed by the intersection of a plane with two cones, resulting in two symmetrical branches

hyperbel, hyperbolisk kurva

hyperbel, hyperbolisk kurva

Ex: The hyperbola is a conic section formed by intersecting a plane with two cones on opposite sides of the plane. 
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parabola
parabola
[Substantiv]

(geometry) a symmetrical open curve that is similar to the path of an object thrown into the air passes till it falls back to earth

parabel, parabolisk kurva

parabel, parabolisk kurva

Ex: The path of a thrown ball forms a parabola. 
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rhombus
rhombus
[Substantiv]

(geometry) a flat shape with four equal sides in which opposite angles are equal

romb, rombo

romb, rombo

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pentagon
pentagon
[Substantiv]

a geometric shape with five angles and five straight sides

pentagon, figur med fem sidor

pentagon, figur med fem sidor

Ex: The flag of the city had a pentagon in the center, symbolizing the five founders. 
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tetrahedron
tetrahedron
[Substantiv]

(geometry) a polyhedron with four flat sides, a triangular pyramid

tetraeder, triangulär pyramid

tetraeder, triangulär pyramid

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trapezoid
trapezoid
[Substantiv]

(geometry) a flat shape with four flat sides, two of which are parallel

trapets, trapezoid

trapets, trapezoid

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equilateral triangle

a type of triangle with all three sides of equal length

liksidig triangel, liksidig triangel

liksidig triangel, liksidig triangel

Ex: Each side of an equilateral triangle is the same length. 
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right triangle
right triangle
[Substantiv]

a flat geometric shape consisting of three straight sides and one right angle

rätvinklig triangel, triangel med rät vinkel

rätvinklig triangel, triangel med rät vinkel

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acute triangle
acute triangle
[Substantiv]

a triangle in which all three interior angles are less than 90 degrees

spetsvinklig triangel, akut triangel

spetsvinklig triangel, akut triangel

Ex: In an acute triangle, each angle measures less than 90 degrees. 
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isosceles triangle
isosceles triangle
[Substantiv]

a type of triangle that has two sides of equal length and two angles of equal measure

likbent triangel

likbent triangel

Ex: In an isosceles triangle, the base angles opposite the equal sides are congruent. 
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scalene triangle
scalene triangle
[Substantiv]

a type of triangle that has all three sides of different lengths

oliksidig triangel, triangel med olika långa sidor

oliksidig triangel, triangel med olika långa sidor

Ex: The sides of a scalene triangle are not equal in length. 
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obtuse triangle
obtuse triangle
[Substantiv]

a triangle in which one of the interior angles is greater than 90 degrees

trubbig triangel, triangel med en trubbig vinkel

trubbig triangel, triangel med en trubbig vinkel

Ex: In an obtuse triangle, one angle measures more than 90 degrees. 
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rectangular pyramid

a three-dimensional geometric shape that has a rectangular base and four triangular faces that meet at a single point called the apex

rektangulär pyramid, pyramid med rektangulär bas

rektangulär pyramid, pyramid med rektangulär bas

Ex: In the art project, students created models of rectangular pyramids using cardboard for the base and sides. 
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right circular cylinder

a three-dimensional geometric shape with two parallel circular bases connected by a curved surface at a right angle to the bases

rak cirkulär cylinder, cylinder med cirkulär bas i rät vinkel

rak cirkulär cylinder, cylinder med cirkulär bas i rät vinkel

Ex: To find the surface area of a right circular cylinder, you need to account for both the lateral surface area and the area of the two bases. 
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right circular cone

a solid figure with a circular base and a vertex that is perpendicular to the center of the base

rak cirkulär kon, rak kon med cirkulär bas

rak cirkulär kon, rak kon med cirkulär bas

Ex: An ice cream cone is a common example of a right circular cone, with the scoop of ice cream sitting on the circular base. 
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epicycle
epicycle
[Substantiv]

a small circle whose center moves around the circumference of a larger circle

epicykel, sekundär cirkel

epicykel, sekundär cirkel

Ex: The concept of an epicycle allows for the modeling of complex periodic movements in geometry and astronomy. 
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hypotenuse
hypotenuse
[Substantiv]

the longest side of a right-angled triangle, opposite the right angle, and defined as the side opposite the right angle in a right-angled triangle

hypotenusa, den längsta sidan i en rätvinklig triangel

hypotenusa, den längsta sidan i en rätvinklig triangel

Ex: In a right-angled triangle with legs of length 3 and 4 units, the hypotenuse can be calculated using the Pythagorean theorem as √(3² + 4²) = 5. 
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base
base
[Substantiv]

the side of a geometric shape, usually the one considered as the bottom, from which the height is measured

bas, bas sida

bas, bas sida

Ex: In a triangle, the base is the side used to calculate the height for finding the area. 
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diameter
diameter
[Substantiv]

a straight line from one side of a round object, particularly a circle, passing through the center and joining the other side

diameter, diameter

diameter, diameter

Ex: The diameter of a circle is the longest distance between any two points on its circumference, passing through the center. 
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radius
radius
[Substantiv]

the length of a straight line drawn from the center of a circle to any point on its outer boundary

radie, halvdiameter

radie, halvdiameter

Ex: The radius of a circle is half the length of its diameter, extending from the center to any point on the circumference. 
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vertex
vertex
[Substantiv]

a point where two or more lines, edges, or rays meet to form an angle, or the point at which the sides of a polygon intersect

hörn, vertex

hörn, vertex

Ex: In a triangle, each of its three corners is a vertex where two sides meet. 
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perimeter
perimeter
[Substantiv]

the total length of the external boundary of something

omkrets

omkrets

Ex: The geometry student calculated the perimeter of the rectangular garden to determine how much fencing would be needed. 
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circumference
circumference
[Substantiv]

(geometry) the length of the external boundary of a curved shape, especially a circle

omkrets

omkrets

Ex: The formula for finding the circumference of a sphere involves multiplying the diameter by π (pi). 
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area
area
[Substantiv]

the measurement of a piece of land or a flat surface

area

area

Ex: The area of a rectangle can be calculated by multiplying its length by its width. 
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surface area
surface area
[Substantiv]

the total area that the surface of a three-dimensional object occupies

yta,  ytarea

yta, ytarea

Ex: To find the surface area of a cube, you calculate the area of one face and multiply it by six. 
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volume
volume
[Substantiv]

the amount of space that a substance or object takes or the amount of space inside an object

volym, kapacitet

volym, kapacitet

Ex: The volume of water in the glass was 250 milliliters. 
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asymptote
asymptote
[Substantiv]

a straight line that a curve approaches indefinitely but never intersects, characterizing the limiting behavior of the curve

asymptot, asymptotisk linje

asymptot, asymptotisk linje

Ex: The hyperbola has asymptotes that represent the lines the curve approaches but never crosses. 
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tangent
tangent
[Substantiv]

a straight line that touches a curve or surface at exactly one point, known as the point of tangency

tangent, tangentlinje

tangent, tangentlinje

Ex: In geometry class, we learned how to draw a tangent to a circle, ensuring it only touched the circle at a single point. 
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protractor
protractor
[Substantiv]

a measuring instrument used to measure and draw angles

gradskiva, vinkelmätare

gradskiva, vinkelmätare

Ex: The teacher used a protractor to show how to measure angles in the geometry lesson. 
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line of symmetry
line of symmetry
[Substantiv]

a line that divides a shape into two congruent parts

symmetrilinje, symmetriaxel

symmetrilinje, symmetriaxel

Ex: A circle has an infinite number of lines of symmetry because it can be divided into two equal halves along any diameter. 
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geometric series
geometric series
[Substantiv]

a series of numbers in which each term after the first is found by multiplying the previous term by a fixed, non-zero number

geometrisk serie, geometrisk följd

geometrisk serie, geometrisk följd

Ex: The geometric series 2, 4, 8, 16, ... has a common ratio of 2. 
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quadrant
quadrant
[Substantiv]

one-fourth of a circle, formed by two perpendicular radii and the connecting arc

kvadrant, cirkelkvart

kvadrant, cirkelkvart

Ex: Each quadrant of a circle represents one-fourth of the circle's area. 
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interior angle
interior angle
[Substantiv]

an angle formed between two sides of a polygon that lies inside the shape

invändig vinkel, inre vinkel

invändig vinkel, inre vinkel

Ex: Each interior angle of a regular pentagon measures 108 degrees. 
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ellipse
ellipse
[Substantiv]

(geometry) a closed plane curve that has two focal points

ellips, elliptisk kurva

ellips, elliptisk kurva

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chord
chord
[Substantiv]

a straight line segment that connects two points on the edge of a circle

korda, ackord

korda, ackord

Ex: The longest chord in a circle is its diameter. 
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diagonal
diagonal
[adjektiv]

(of a straight line) joining opposite corners of a flat shape at an angle

diagonal

diagonal

Ex: The diagonal line on the graph represented the trend of increasing sales over time. 
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congruent
congruent
[adjektiv]

(in geometry) describing shapes of the same size and form

kongruent, överensstämmande

kongruent, överensstämmande

Ex: If you fold the paper along the crease, the two halves are congruent. 
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parallel
parallel
[adjektiv]

having an equal distance from each other at every point

parallell, likvärdigt avstånd

parallell, likvärdigt avstånd

Ex: The two lines on the graph are parallel, indicating no change in their relationship. 
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transversal
transversal
[adjektiv]

(of a line) intersecting two or more other lines at different points

tvärgående, skärande

tvärgående, skärande

Ex: In geometry, a transversal line can create various angles with the lines it intersects. 
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perpendicular
perpendicular
[adjektiv]

(of lines or planes) intersecting each other at a 90 degree angle

vinkelrät, i rät vinkel

vinkelrät, i rät vinkel

Ex: In technical drawings, architects ensure walls are precisely perpendicular to allow for square structures. 
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to bisect
to bisect
[Verb]

to divide something into two equal parts

dela i två lika delar, halvera

dela i två lika delar, halvera

Ex: Using a ruler, she carefully bisected the line on the paper. 
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to translate

(geometry) to move a shape or figure from one position to another without rotating, resizing, or otherwise altering its shape

förflytta, flytta

förflytta, flytta

Ex: To translate the triangle 5 units to the right and 3 units up, you add 5 to the x-coordinates and 3 to the y-coordinates of each vertex. 
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asymmetry
asymmetry
[Substantiv]

(geometry) a lack of symmetry or equivalence in shape or size between the two sides or parts of something

asymmetri

asymmetri

Ex: In geometry, asymmetry means the two sides are not identical. 
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