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الرياضيات والتقييم ACT - Geometry

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ACT Vocabulary for Math and Assessment
slope
[اسم]

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

ميل, انحدار

ميل, انحدار

Ex: When graphing data , slope indicates the rate of change between variables .
arc
[اسم]

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

قوس, جزء من دائرة

قوس, جزء من دائرة

Ex: When measuring arc, it is important to identify the center of the circle .
radian
[اسم]

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

راديان, وحدة قياس الزوايا (راديان)

راديان, وحدة قياس الزوايا (راديان)

Ex: Knowing the relationship between degrees radians is essential for trigonometry .
radius
[اسم]

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

نصف القطر, نصف الدائرة

نصف القطر, نصف الدائرة

Ex: radius of a planet determines its gravitational influence and orbital characteristics within a solar system .
diameter
[اسم]

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

قطر, مقطع

قطر, مقطع

Ex: The technician used a caliper to determine diameter of the bearings needed for the machinery repair .
perimeter
[اسم]

the total length of the external boundary of something

محيط, حدود

محيط, حدود

Ex: The science project required students to build a model volcano and measure perimeter of its base for stability analysis .

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

محيط, محيط الدائرة

محيط, محيط الدائرة

Ex: The mathematician used circumference to solve the geometry problem .
area
[اسم]

the measurement of a piece of land or a flat surface

مساحة, منطقة

مساحة, منطقة

Ex: area can be expressed in square units , such as square meters or square feet .
volume
[اسم]

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

حجم, السعة

حجم, السعة

Ex: volume of water in the tank is monitored regularly .
angle
[اسم]

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

زاوية, زاويَّة

زاوية, زاويَّة

Ex: Understanding angles is essential in geometry for solving problems .
right angle
[اسم]

an angle measuring exactly 90 degrees

زاوية قائمة, زاوية 90 درجة

زاوية قائمة, زاوية 90 درجة

Ex: The carpenter adjusted the miter saw to cut the molding at a right angle for seamless installation .

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

زاوية رأسية, زاوية مقابلة

زاوية رأسية, زاوية مقابلة

Ex: If one vertical angle is 45 degrees , the vertical angle must also be 45 degrees .

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

زاوية داخلية, زاوية داخل الشكل

زاوية داخلية, زاوية داخل الشكل

Ex: interior angles of an octagon sum up to 1080 degrees .
acute angle
[اسم]

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

زاوية حادة, زاوية ضيقة

زاوية حادة, زاوية ضيقة

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

زوايا متتالية, زوايا متتابعة

زوايا متتالية, زوايا متتابعة

Ex: A regular polygon has consecutive angles, each angle having the same measure .
obtuse
[صفة]

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

منفرج, زاوية منفرجة

منفرج, زاوية منفرجة

Ex: The sailboat changed course, steering away from the rocks to avoid sailing into the obtuse angle formed by the cliffs.
protractor
[اسم]

a measuring instrument used to measure and draw angles

منقلة, زاوية قياس

منقلة, زاوية قياس

Ex: The engineer used protractor to measure the angle of the roof in the blueprint .

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

عمودي, مستقيم زوايا

عمودي, مستقيم زوايا

Ex: The artist drew perpendicular line from the edge of the canvas to start his sketch .
polygon
[اسم]

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

مضلع, شكل مسطح ذو جوانب مستقيمة

مضلع, شكل مسطح ذو جوانب مستقيمة

Ex: Polygons can be classified based on the number of their sides , such as pentagons and hexagons .

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

متوازي الأضلاع, شبه منحرف

متوازي الأضلاع, شبه منحرف

tetrahedral
[صفة]

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

تتراهيدري, أربعة الأوجه

تتراهيدري, أربعة الأوجه

Ex: The buildingtetrahedral structure provided both aesthetic appeal and structural stability .
trapezoid
[اسم]

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

مُعَامَدة, مُربَّع غير مُنتظم

مُعَامَدة, مُربَّع غير مُنتظم

pentagon
[اسم]

a geometric shape with five angles and five straight sides

خماسي الأضلاع, خماسي الزوايا

خماسي الأضلاع, خماسي الزوايا

Ex: She drew pentagon on the chalkboard to illustrate its shape to the students .

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

مربع, رباعي

مربع, رباعي

rhombus
[اسم]

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

معين, مربع مائل

معين, مربع مائل

epicycle
[اسم]

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

دوائر صغيرة, إيبسيد

دوائر صغيرة, إيبسيد

Ex: When the center of the epicycle moves along the circumference of the deferent, the resulting path of a point on the epicycle is known as an epicycloid.
hyperbola
[اسم]

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

فرع مائل, هاد هونش

فرع مائل, هاد هونش

Ex: Hyperbolas find applications in engineering, particularly in the design of antennas and satellite orbits.
parabola
[اسم]

(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

قطع مكافئ, البارابولا

قطع مكافئ, البارابولا

Ex: The quadratic function ’s graph is always parabola.
ellipse
[اسم]

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

إهليلج, بيضاوي

إهليلج, بيضاوي

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

مثلث قائم زاوية, مثلث قائم

مثلث قائم زاوية, مثلث قائم

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

مثلث حاد, مثلث قائم الزاوية

مثلث حاد, مثلث قائم الزاوية

Ex: When constructing acute triangle, ensure that the sum of any two angles is greater than the third angle .

a type of triangle with all three sides of equal length

مثلث متساوي الأضلاع, مثلث متساوي الساقين

مثلث متساوي الأضلاع, مثلث متساوي الساقين

Ex: The traffic sign warned of an upcoming intersection with equilateral triangle symbol .

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

مثلث غير متساوي الأضلاع, مثلث متباين الأضلاع

مثلث غير متساوي الأضلاع, مثلث متباين الأضلاع

Ex: The roof of the house had a scalene triangle design .
isosceles
[صفة]

describing a triangle with at least two sides of equal length

متساوي الساقين, مُتَساوي الأضلاع

متساوي الساقين, مُتَساوي الأضلاع

Ex: The architect designed the roof of the house in the shape of an isosceles triangle.
hypotenuse
[اسم]

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

الوتر, الجانب الأطول

الوتر, الجانب الأطول

Ex: Trigonometric ratios like sine , cosine , and tangent involve the relationship between the sides of a right triangle , including hypotenuse.

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

أسطوانة دائرية قائمة, أسطوانة دائرية عمودية

أسطوانة دائرية قائمة, أسطوانة دائرية عمودية

Ex: The sculpture featured a series right circular cylinders of varying heights and radii stacked on top of each other .

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

هرم مستطيل, هرم ذو قاعدة مستطيلة

هرم مستطيل, هرم ذو قاعدة مستطيلة

Ex: The height of rectangular pyramid is measured from the apex perpendicular to the center of the rectangular base .
asymmetry
[اسم]

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

عدم التناسق, اللاتناظر

عدم التناسق, اللاتناظر

Ex: asymmetry helps in understanding how shapes differ from being perfectly symmetrical .
vertex
[اسم]

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

رأس, زاوية

رأس, زاوية

Ex: In a cube , each of the eight corners is vertex formed by the meeting of three edges .
diagonal
[اسم]

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

قطر,  диагональ

قطر, диагональ

Ex: The length of the diagonal determines the size of the square.
congruent
[صفة]

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

متطابقة, متناسقة

متطابقة, متناسقة

Ex: The two triangles are congruent because they have the same shape and size.
base
[اسم]

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

قاع, قاعدة

قاع, قاعدة

Ex: For calculating the volume of a pyramid , you need to know the area of base and the height .
parallel
[اسم]

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

المتوازيان, الخطان المتوازيان

المتوازيان, الخطان المتوازيان

Ex: The design features two parallels that run alongside each other .

a line that divides a shape into two congruent parts

خط التماثل, محور التناظر

خط التماثل, محور التناظر

Ex: The butterfly 's wings have line of symmetry running along its body , making each wing a mirror image of the other .

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

سلسلة عددية هندسية, متتالية هندسية

سلسلة عددية هندسية, متتالية هندسية

Ex: In geometric series, if the common ratio is greater than 1 , the series will diverge .
surface area
[اسم]

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

مساحة السطح, المساحة السطحية

مساحة السطح, المساحة السطحية

Ex: surface area is essential for packaging design to minimize material use .
transversal
[صفة]

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

مست transversal, مائل transversal

مست transversal, مائل transversal

Ex: transversal beams supported the structure at different angles .
quadrant
[اسم]

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

ربع دائرة, ربع

ربع دائرة, ربع

Ex: The quadrant shape is often used in various engineering and architectural designs.
asymptote
[اسم]

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

الشعاع الاقتراني, الخط المتقطع

الشعاع الاقتراني, الخط المتقطع

Ex: Exponential functions may exhibit asymptotes, indicating stability in the long run .
to bisect
[فعل]

to divide something into two equal parts

إلى نصفين, قسم إلى قسمين

إلى نصفين, قسم إلى قسمين

Ex: He used a saw bisect the wooden plank for the woodworking project .
tangent
[اسم]

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

مماس, المماس

مماس, المماس

Ex: The artist 's sketch showed a spiral with tangent lines , illustrating the various points of contact .
chord
[اسم]

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

وتر, الشعاع

وتر, الشعاع

Ex: The radius of a circle bisects chord that it is perpendicular to .
to translate
[فعل]

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

نقل, ترجمة

نقل, ترجمة

Ex: In geometry, to translate a shape means to slide it horizontally, vertically, or both, without altering its orientation.
الرياضيات والتقييم ACT
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