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Midpoint Meaning: Definition, Examples, and Translations

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midpoint

[ˈmɪdˌpɔɪnt ]

Definition

Context #1 | Noun

mathematics

The point in the middle of a line segment, equidistant from both ends.

Synonyms

center, halfway point, middle point.

Which Synonym Should You Choose?

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Word Description / Examples
midpoint

Commonly used in discussions involving calculations and measurements, especially in geometry or physics.

  • The midpoint of the line segment can be found using the formula
  • The students calculated the midpoint of the distance between the two points
center

Often used to describe the central part of objects, places, or abstract ideas. Can also refer to a focal point of activities.

  • The city's center is always bustling with activity
  • She placed the vase in the center of the table
middle point

Similar to 'midpoint' but less technical; frequently used in casual context to simply indicate a central position.

  • Draw a line and mark the middle point
  • The middle point of the trail is a perfect spot for a break
halfway point

Typically used in everyday speech to describe something that is equidistant between two points or stages of progress.

  • We reached the halfway point of our journey
  • He paused at the halfway point of the marathon

Examples of usage

  • The midpoint of a line segment AB is denoted as M.
  • To find the midpoint, you can average the x-coordinates and y-coordinates of the endpoints.

Translations

To see the translation, please select a language from the options available.

Interesting Facts

Mathematics

  • In geometry, the midpoint formula helps find the middle of a line segment by averaging the coordinates of the endpoints.
  • A triangle's centroid serves as a type of midpoint, balancing the triangle at its center.
  • In a number line, the midpoint allows you to find equal divisions between two numbers, making it a useful concept for learning.

Literature

  • Authors often use the midpoint in stories to create a turning point, where the plot shifts direction, keeping readers engaged.
  • In poetry, the midpoint of a poem can reveal significant shifts in tone or meaning, enhancing emotional impact.

Sports

  • In some team sports, the midpoint of the playing field can influence strategies, as teams often regroup and plan plays from that central area.
  • In racing, reaching the midpoint can signify a crucial turning point for competitors, where their strategies might shift for the final push.

Psychology

  • The midpoint of tasks can affect motivation; reaching it often boosts morale as people feel progress.
  • Cognitive scientists suggest that understanding the midpoint of decision-making can help in evaluating options more effectively.

Origin of 'midpoint'

The term 'midpoint' originated in the field of mathematics, where it is used to describe the point that is equidistant from both ends of a line segment. The concept of a midpoint has been fundamental in geometry and arithmetic for centuries, allowing for precise calculations and measurements. The word 'midpoint' combines 'mid', meaning middle, and 'point', referring to a location in space. Understanding the concept of a midpoint is crucial in various mathematical applications, including geometry, trigonometry, and algebra.

See also: counterpoint, pinpoint, point, pointed, pointedly, pointer, pointers, pointillism, pointillize, pointing, pointless, pointlessly, pointlessness, points, unpointed.

Word Frequency Rank

With rank #17,146, this word belongs to specialized vocabulary. While not common in everyday speech, it enriches your ability to express complex ideas.