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Matematică și Evaluare ACT - Geometry

Aici vei învăța câteva cuvinte în engleză legate de geometrie, cum ar fi "tangentă", "vârf", "elipsă" etc., care te vor ajuta să treci cu bine de ACT-urile tale.

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ACT Vocabulary for Math and Assessment
slope
slope
[substantiv]

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

pantă

pantă

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

arc, parte a unui cerc

arc, parte a unui cerc

Ex: In a circle, a minor arc is shorter than a major arc. 
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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, unitate de măsură pentru unghiuri

radian, unitate de măsură pentru unghiuri

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

rază, semidiametru

rază, semidiametru

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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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

diametru, diametru

diametru, diametru

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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perimeter
perimeter
[substantiv]

the total length of the external boundary of something

perimetru

perimetru

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

circumferință

circumferință

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

suprafață

suprafață

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

volum, capacitate

volum, capacitate

Ex: The volume of water in the glass was 250 milliliters. 
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angle
angle
[substantiv]

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

unghi, unghi (măsură)

unghi, unghi (măsură)

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

an angle measuring exactly 90 degrees

unghi drept, unghi de 90 de grade

unghi drept, unghi de 90 de grade

Ex: To construct a square, each corner must form a perfect right angle. 
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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

unghi vertical, unghi opus la vârf

unghi vertical, unghi opus la vârf

Ex: Vertical angles are always congruent to each other. 
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interior angle
interior angle
[substantiv]

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

unghi interior, unghi intern

unghi interior, unghi intern

Ex: Each interior angle of a regular pentagon measures 108 degrees. 
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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)

unghi ascuțit, unghi mai mic de 90 de grade

unghi ascuțit, unghi mai mic de 90 de grade

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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

unghiuri consecutive, unghiuri adiacente

unghiuri consecutive, unghiuri adiacente

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

(of angle) greater than 90 degrees but less than 180 degrees

obtuz

obtuz

Ex: The angle formed by the hands of the clock at 2:30 is obtuse, measuring approximately 120 degrees. 
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protractor
protractor
[substantiv]

a measuring instrument used to measure and draw angles

raportor, gonometru

raportor, gonometru

Ex: The teacher used a protractor to show how to measure angles in the geometry lesson. 
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perpendicular
perpendicular
[adjectiv]

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

perpendicular, la unghi drept

perpendicular, la unghi drept

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

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

poligon, figură geometrică cu mai multe laturi

poligon, figură geometrică cu mai multe laturi

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

paralelogram, orice formă plată cu patru laturi drepte

paralelogram, orice formă plată cu patru laturi drepte

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tetrahedral
tetrahedral
[adjectiv]

characterized by or resembling a tetrahedron, which has four triangular faces

tetraedric, în formă de tetraedru

tetraedric, în formă de tetraedru

Ex: The chemist explained that a methane molecule has a tetrahedral geometry, with the carbon atom at the center. 
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trapezoid
trapezoid
[substantiv]

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

trapez, trapezoid

trapez, trapezoid

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pentagon
pentagon
[substantiv]

a geometric shape with five angles and five straight sides

pentagon, figură cu cinci laturi

pentagon, figură cu cinci laturi

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

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

patrulater, figură plană cu patru laturi drepte

patrulater, figură plană cu patru laturi drepte

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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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epicycle
epicycle
[substantiv]

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

epicicl, cerc secundar

epicicl, cerc secundar

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

hiperbolă, curbă hiperbolică

hiperbolă, curbă hiperbolică

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

parabolă, curbă parabolică

parabolă, curbă parabolică

Ex: The path of a thrown ball forms a parabola. 
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ellipse
ellipse
[substantiv]

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

elipsă, curbă eliptică

elipsă, curbă eliptică

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right triangle
right triangle
[substantiv]

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

triunghi dreptunghic, triunghi cu unghi drept

triunghi dreptunghic, triunghi cu unghi drept

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acute triangle
acute triangle
[substantiv]

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

triunghi ascuțitunghic, triunghi acut

triunghi ascuțitunghic, triunghi acut

Ex: In an acute triangle, each angle measures less than 90 degrees. 
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equilateral triangle

a type of triangle with all three sides of equal length

triunghi echilateral, triunghi echilateral

triunghi echilateral, triunghi echilateral

Ex: Each side of an equilateral triangle is the same length. 
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scalene triangle
scalene triangle
[substantiv]

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

triunghi scalen, triunghi cu laturi inegale

triunghi scalen, triunghi cu laturi inegale

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

describing a triangle with at least two sides of equal length

isoscel

isoscel

Ex: The triangle has two equal sides, making it an isosceles triangle. 
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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

ipotenuză, cea mai lungă latură a unui triunghi dreptunghic

ipotenuză, cea mai lungă latură a unui triunghi dreptunghic

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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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

cilindru circular drept, cilindru drept cu bază circulară

cilindru circular drept, cilindru drept cu bază circulară

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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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

piramidă dreptunghiulară, piramidă cu bază dreptunghiulară

piramidă dreptunghiulară, piramidă cu bază dreptunghiulară

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

asimetrie

asimetrie

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

vârf, vertex

vârf, vertex

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

a straight line connecting opposite corners of a flat shape at an angle

diagonală, linie diagonală

diagonală, linie diagonală

Ex: The rectangle's diagonal was longer than its sides. 
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congruent
congruent
[adjectiv]

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

congruent, suprapus

congruent, suprapus

Ex: If you fold the paper along the crease, the two halves are congruent. 
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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

bază, latură de bază

bază, latură de bază

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

a pair of geometric figures, such as lines or planes, that do not meet or intersect, no matter how far they are extended

paralelă, linie paralelă

paralelă, linie paralelă

Ex: The two parallels in the diagram never intersect. 
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line of symmetry
line of symmetry
[substantiv]

a line that divides a shape into two congruent parts

linie de simetrie, axa de simetrie

linie de simetrie, axa de simetrie

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

serie geometrică, progresie geometrică

serie geometrică, progresie geometrică

Ex: The geometric series 2, 4, 8, 16, ... has a common ratio of 2. 
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surface area
surface area
[substantiv]

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

suprafață,  aria suprafeței

suprafață, aria suprafeței

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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transversal
transversal
[adjectiv]

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

transversal, secant

transversal, secant

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

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

cadran, sfert de cerc

cadran, sfert de cerc

Ex: Each quadrant of a circle represents one-fourth of the circle's area. 
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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

asimptotă, linie asimptotică

asimptotă, linie asimptotică

Ex: The hyperbola has asymptotes that represent the lines the curve approaches but never crosses. 
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to bisect
to bisect
[verb]

to divide something into two equal parts

a împărți în două părți egale, a tăia în jumătate

a împărți în două părți egale, a tăia în jumătate

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

tangentă, linie tangentă

tangentă, linie tangentă

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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chord
chord
[substantiv]

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

coardă, acord

coardă, acord

Ex: The longest chord in a circle is its diameter. 
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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

transla, deplasa

transla, deplasa

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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