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.

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.

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.

an angle measuring exactly 90 degrees

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

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

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

Vertical angles are always congruent to each other.

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.

(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

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

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 flat shape with four equal sides in which opposite angles are equal

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 polyhedron with four flat sides, a triangular pyramid

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

a type of triangle with all three sides of equal length

Each side of an equilateral triangle is the same length.

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 that has two sides of equal length and two angles of equal measure

In an isosceles triangle, the base angles opposite the equal sides are congruent.

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

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

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

In an obtuse triangle, one angle measures more than 90 degrees.

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.

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

An ice cream cone is a common example of a right circular cone, with the scoop of ice cream sitting on the circular base.

(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.

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.

completely lacking moral or honorable purpose or character

His base actions shocked everyone at the party.

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 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 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.

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 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.

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.

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.

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.

a measuring instrument used to measure and draw angles

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

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.

a measuring instrument for measuring altitude of heavenly bodies

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

Each interior angle of a regular pentagon measures 108 degrees.

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

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

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

(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.

having an equal distance from each other at every point

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

(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.

(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.

to divide something into two equal parts

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

to change words into another language

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

(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.