Four Points That Are Collinear

Mathematics is a branch of science. Many scientists consider mathematics a pure scientific discipline, one that is equal parts precision and imagination. Collinear points is a fancy, but a precise, style of describing points in a line.

Collinear Points Definition
Collinear Points in Real Life
Collinear Points in Geometry
Collinear Points in Geometry
Collinear Points Examples

Collinear Points Definition

Mathematicians use words very exactly. In Euclidean geometry, Collinear points are points that all prevarication in the same line, whether they are close together, far apart, or course a ray, line segment, or line. A little Latin helps: col + linear = collinear.

$Collinear Points Geometry Definition$

col ways "together." Our discussion college comes from the same prefix. Linear means line.

The combination, collinear, means points together on a single line.

Collinear Points in Real Life

Anytime you have a series of private items in a single straight line, you take models of collinear points. Suppose you accept eggs in a carton; each egg in ane row is a collinear point:

$Collinear Points Real World Example$

Students seated at a long cafeteria table are collinear. Football game players on the line of scrimmage are collinear. Rings on a shower pall, plants in one row in a garden, numbers on a ruler, moviegoers in a ticket line, and commuters seated on a train are collinear.

For real-life examples to exist skilful models of collinear points, you need to be able to describe a directly line through them. Call back of the individual kernels on one row of an ear of corn.

Collinear foods are found all over the globe. In Nippon, people enjoy Dango; sugariness petty dumplings bundled three to five on a skewer.

$Collinear Points Real World Example 2$

Sosatie is a South African dish of little cubes of lamb or mutton interspersed with dried apricots, ruddy onions, and mixed peppers, all on skewers.

Frigărui, a Romanaian kebab, is cubes of meat with bacon, onions, tomatoes, bong peppers, and mushrooms.

In all cases, the little bits of food are lined up on a bamboo or wood skewer, so they are all points on a unmarried line. They are all collinear.

Not-Collinear Points

What is not a model of collinear points? The angle marks around the curved edge of a protractor, for one matter. Neither are spirals, helixes, all five corners of a pentagon, or points on a globe.

Here are some examples of non-collinear points:

$Non-Collinear Points In Geometry$

Not-collinear points are a gear up of points that exercise not lie on the same line. Picture a sushi roll in front end of y'all. Sticking with our example to a higher place, a second skewer of food sitting next to ours would not have any points collinear with our skewer, since they are all on a different skewer or line.

Points must lie on the same line to have collinearity. If picture a correct triangle with two points label on 2 dissimilar sides points 50 and R. If signal 50 on the hypotenuse and point R on the base, and so point L and bespeak R are non-collinear.

Collinear Points in Geometry

Very often, collinear points appear in geometric figures such every bit quadrilaterals, triangles, parallelograms, and more. Take this kite with 2 diagonals intersecting at $P o i n t S$ :

$Collinear Points Example Kite$

2 sets of collinear points announced around the diagonals in this geometric effigy:

$G - Due south - T$
$I - S - East$

But you can also find all these other collinear points since but ii points determine a line:

$K South$
$S T$
$I Southward$
$S Eastward$
$Grand I$
$I T$
$T E$
$E One thousand$

Collinear Points Examples

We volition leave yous with a side view of a little street brazier for making skewered meat kebabs. Notice the legs cantankerous and have a bottom brace, which creates two triangles to keep the brazier stable. Can you find at least $ten$ sets of collinear points?

$Collinear Points Graph$

We are certain you saw sets like points $A$ and $B$ , $C$ and $D$ , and points $A - F - East - I - D$ , simply did you likewise pick upward on ones like $C H, H E, East One thousand,$ and $G B$ ?

The points $C - H - East$ and $Due east - I - D$ , which form two sides of a triangle (the lesser triangle) are also collinear.

Look at points $H - E - G$ and $Due east - K - B$ . Each of these 3 points are collinear likewise. Keep looking; more sets of collinear points are waiting to be constitute!

Coplanar Points

We now know that collinear points, sometimes spelled "colinear" (just on L), are points that lie on a straight line. But what virtually coplanar points? In a 3 dimensional world, coplanar points are a set of points that lie on the same aeroplane. Learn more near coplanar points.