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Matemáticas y Evaluación ACT - Geometría

Aquí aprenderás algunas palabras en inglés relacionadas con la geometría, como "tangente", "vértice", "elipse", etc., que te ayudarán a sobresalir en tus ACT.

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Cuestionario

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ACT Vocabulary for Math and Assessment
slope
slope
[Sustantivo]

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

pendiente

pendiente

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

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

arco

arco

Ex: In a circle, a minor arc is shorter than a major arc. 
radian
radian
[Sustantivo]

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

radián, unidad de medida para ángulos

radián, unidad de medida para ángulos

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

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

radio

radio

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

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

diámetro

diámetro

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

the total length of the external boundary of something

perímetro

perímetro

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

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

circunferencia

circunferencia

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

the measurement of a piece of land or a flat surface

área

área

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

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

volumen

volumen

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

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

ángulo

ángulo

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

an angle measuring exactly 90 degrees

ángulo recto

ángulo recto

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

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

ángulo vertical, ángulo opuesto por el vértice

ángulo vertical, ángulo opuesto por el vértice

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

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

ángulo interior, ángulo interno

ángulo interior, ángulo interno

Ex: Each interior angle of a regular pentagon measures 108 degrees. 
acute angle
acute angle
[Sustantivo]

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

ángulo agudo, ángulo menor de 90 grados

ángulo agudo, ángulo menor de 90 grados

consecutive angle
consecutive angle
[Sustantivo]

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

ángulos consecutivos, ángulos adyacentes

ángulos consecutivos, ángulos adyacentes

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

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

obtuso

obtuso

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

a measuring instrument used to measure and draw angles

transportador, goniómetro

transportador, goniómetro

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

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

perpendicular

perpendicular

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

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

polígono

polígono

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

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

paralelogramo

paralelogramo

tetrahedral
tetrahedral
[Adjetivo]

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

tetraédrico, en forma de tetraedro

tetraédrico, en forma de tetraedro

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

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

trapecio, trapezoide

trapecio, trapezoide

pentagon
pentagon
[Sustantivo]

a geometric shape with five angles and five straight sides

pentágono

pentágono

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

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

cuadrilátero

cuadrilátero

rhombus
rhombus
[Sustantivo]

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

rombo

rombo

epicycle
epicycle
[Sustantivo]

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

epiciclo, círculo secundario

epiciclo, círculo secundario

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

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

hipérbola, curva hiperbólica

hipérbola, curva hiperbólica

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

(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

parábola

parábola

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

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

elipse

elipse

right triangle
right triangle
[Sustantivo]

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

triángulo rectángulo

triángulo rectángulo

acute triangle
acute triangle
[Sustantivo]

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

triángulo acutángulo, triángulo agudo

triángulo acutángulo, triángulo agudo

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

a type of triangle with all three sides of equal length

triángulo equilátero, triángulo equilátero

triángulo equilátero, triángulo equilátero

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

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

triángulo escaleno, triángulo desigual

triángulo escaleno, triángulo desigual

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

describing a triangle with at least two sides of equal length

isósceles

isósceles

Ex: The triangle has two equal sides, making it an isosceles triangle. 
hypotenuse
hypotenuse
[Sustantivo]

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

hipotenusa

hipotenusa

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. 
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

cilindro circular recto, cilindro recto de base circular

cilindro circular recto, cilindro recto de base circular

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. 
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

pirámide rectangular, pirámide de base rectangular

pirámide rectangular, pirámide de base rectangular

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

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

asimetría

asimetría

Ex: In geometry, asymmetry means the two sides are not identical. 
vertex
vertex
[Sustantivo]

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

vértice

vértice

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

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

diagonal

diagonal

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

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

congruente

congruente

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

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

base, lado base

base, lado base

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

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

paralela, línea paralela

paralela, línea paralela

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

a line that divides a shape into two congruent parts

línea de simetría, eje de simetría

línea de simetría, eje de simetría

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

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 geométrica, sucesión geométrica

serie geométrica, sucesión geométrica

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

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

área de superficie,  superficie

área de superficie, superficie

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

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

transversal, secante

transversal, secante

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

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

cuadrante, cuarto de círculo

cuadrante, cuarto de círculo

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

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

asíntota, línea asintótica

asíntota, línea asintótica

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

to divide something into two equal parts

dividir en dos partes iguales, partir en dos mitades iguales

dividir en dos partes iguales, partir en dos mitades iguales

Ex: Using a ruler, she carefully bisected the line on the paper. 
tangent
tangent
[Sustantivo]

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

tangente

tangente

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

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

cuerda, acorde

cuerda, acorde

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

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

trasladar, mover

trasladar, mover

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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