Geometry

to incline or slant in a particular direction

The mountain road sloped steeply upward, making it challenging for the cyclists to ascend.

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

In a circle, a minor arc is shorter than a major arc.

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

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

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

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

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

The diameter of a circle is the longest distance between any two points on its circumference, passing through the center.

the total length of the external boundary of something

The geometry student calculated the perimeter of the rectangular garden to determine how much fencing would be needed.

the distance around the external boundary of something

The athlete completed a lap around the track, covering the entire circumference in record time.

a particular part or region of a city, country, or the world

The area around the lake is a popular picnic spot.

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

The volume of water in the glass was 250 milliliters.

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

She used a protractor to measure the angle of the triangle accurately.

an angle measuring exactly 90 degrees

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

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

Vertical angles are always congruent to each other.

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

Each interior angle of a regular pentagon measures 108 degrees.

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

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

In a parallelogram, consecutive angles are supplementary, meaning their measures add up to 180 degrees.

slow or reluctant to understand things or respond emotionally to something

Despite the clear explanation, he remained obtuse and failed to grasp the concept.

a measuring instrument used to measure and draw angles

The teacher used a protractor to show how to measure angles in the geometry lesson.

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

In technical drawings, architects ensure walls are precisely perpendicular to allow for square structures.

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

A triangle is the simplest type of polygon with three sides.

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

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

The chemist explained that a methane molecule has a tetrahedral geometry, with the carbon atom at the center.

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

a geometric shape with five angles and five straight sides

The flag of the city had a pentagon in the center, symbolizing the five founders.

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

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

(astronomy) a secondary circular orbit embedded within a primary circular orbit

In his astronomical work the Almagest, Ptolemy used a system of deferents and epicycles to explain the observed motions of planets across the night sky.

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

The hyperbola is a conic section formed by intersecting a plane with two cones on opposite sides of the plane.

(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

The path of a thrown ball forms a parabola.

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

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

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

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

a type of triangle with all three sides of equal length

Each side of an equilateral triangle is the same length.

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

The sides of a scalene triangle are not equal in length.

describing a triangle with at least two sides of equal length

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

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

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.

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

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.

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

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

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

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

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

In a triangle, each of its three corners is a vertex where two sides meet.

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

The diagonal line on the graph represented the trend of increasing sales over time.

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

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

completely lacking moral or honorable purpose or character

His base actions shocked everyone at the party.

having an equal distance from each other at every point

The two lines on the graph are parallel, indicating no change in their relationship.

a line that divides a shape into two congruent parts

A circle has an infinite number of lines of symmetry because it can be divided into two equal halves along any diameter.

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

The geometric series 2, 4, 8, 16, ... has a common ratio of 2.

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

To find the surface area of a cube, you calculate the area of one face and multiply it by six.

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

In geometry, a transversal line can create various angles with the lines it intersects.

a measuring instrument for measuring altitude of heavenly bodies

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

The hyperbola has asymptotes that represent the lines the curve approaches but never crosses.

to divide something into two equal parts

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

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

In geometry class, we learned how to draw a tangent to a circle, ensuring it only touched the circle at a single point.

three or more musical notes that form a harmony when played together

The guitarist strummed a G major chord to start the song.

to change words into another language

She can effortlessly translate English texts into Spanish, showcasing her proficiency in both languages.