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Fundamentals of geometry

Lecture



Gometry is a branch of mathematics that studies geometric shapes and their properties.

Let's get acquainted with the basic geometric concepts studied in elementary school .

Point


A point is a basic and simplest geometric figure.

In geometry, a point is indicated by a capital Latin letter or number. Many Latin letters in writing are similar to English letters.

  Fundamentals of geometry

In the text, a point is designated by the following symbol: (•) A - point A

Straight


A straight line is the simplest geometric shape that has no beginning or end.

The words “has neither beginning nor end” indicate that the straight line is infinite.

  • Through two points you can draw a single line.
  • Two straight lines can intersect only at one point.
  • Through one point you can draw an infinite set of lines.

Ways to designate straight lines

  • Lowercase Latin:   Fundamentals of geometry

    Direct a.

  • Two capital Latin letters in the event that these letters denote points located on a straight line.   Fundamentals of geometry

    Direct AB.

Ray


A beam is a part of a straight line that is located on one side of a point. The beam has a beginning, but no end.

Ways to designate rays

  • Lowercase Latin:   Fundamentals of geometry

    Ray c.

  • Two capital Latin letters in the case when the first point - the beginning of the beam, and the second point lies on the beam.   Fundamentals of geometry

    Ray ab.

Section


A segment is a part of a straight line that is bounded by two points (the ends of the segment). The segment has a beginning and an end.

The main property of the segment is its length.

The length of the segment is the distance between its ends.

In mathematics, a segment is denoted by capital Latin letters.

  Fundamentals of geometry

AB cut.

Broken line


A polyline is a geometric figure consisting of points that are connected by segments.

The vertices of the polyline are the points at which the segments that make up the polyline are joined.

Links of a broken line are pieces of a broken line.

In mathematics, broken line is denoted by capital Latin letters.

  Fundamentals of geometry

Polyline ABCD.
The vertices of the polyline - A, B, C, D.
Links of the broken line - AB, BC, CD.


To find the length of a polyline, it is necessary to add the lengths of all its links (segments) of which it consists.

  Fundamentals of geometry

KLCM = KL + LC + CM = 3 cm + 2 cm + 2 cm = 7 cm.

So we got acquainted with the basics of geometry . Now we are ready to consider an equally important geometric figure - the angle. To do this, go to the next page by clicking on the “View topic content” button at the top of the page.

created: 2014-09-22
updated: 2021-01-10
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Planometry

Terms: Planometry