Point

Point is the fundamental structure block of Geometry. Eexceptionally form is made through the combining the points.

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A little dot noted by a pencil is a point. A suggest has no length or width. It has actually no thickness. Point is a mark of position. A suggest specifies the exact location. Point is dedetailed by a dot (.) and also is called by an alphabet.

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In the number over, O is a suggest as it has actually a definite note. Here it shows this allude O is situated at the centre of the plane. In the number listed below, tbelow is one more suggest A. It is situated at best bottom of the arrangement.

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Ray

Let us think of a torch. The light rays come out of it and move ameans. Let us take instance of sun. The rays begin from sun and go in all directions and also reach to us.

In Geometry also, a ray starts from a suggest and also might go to infinity. It has actually staring allude however has no end suggest. We say a ray has one endsuggest and goes without end in one direction.

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In the figure above, the starts from A and also the arrowhead denotes it deserve to go to infinity.

Its length cannot be measured. An infinite number of rays have the right to be drawn in various directions from a provided point

The rays coming from torch or sunlight are examples of rays.

This is a ray because a ray has actually one endsuggest and goes without finish in one direction

Line

Look at the figure above. There are arrows on both sides. It shows it have the right to go even more on both sides without end. This is referred to as line.

A line goes without end in both directions. Both ends of a line deserve to go to infinity. A line has actually no finish points. The length of a line cannot be measured. A line has no definite length.

A line is named by any two points on it and written as line AB or line PQ. One and also just one line deserve to be attracted passing through two offered points A and also B. This line is dubbed AB. It may additionally be referred to as BA. Line BA is the very same as line AB. Both pass with the very same 2 points A and also B.

An infinite number of lines can be attracted passing via a provided point A.

A horizontal line goes right left or right throughout. A vertical line goes directly up or down.

A diagonal line deserve to be in any type of direction in between horizontal line and also vertical line.

Line Segment

Now look at the number above. Tbelow is no arrowhead on any type of end. It starts from one suggest and ends at an additional point. This is called a line segment. A area of a line is a line segment.

A line segment has actually 2 endpoints. A line segment is a straight line that connects 2 points. It is the shortest path in between the 2 points. A line segment has definite length. Its length have the right to be measured.

Let us mark two tiny dots (.) by a pencil as points A and also B. Let us join them by drawing a directly line. This forms a line segment. A line segment is named by its 2 endpoints and also written as line-segment AB or line-segment PQ.

In the number above, a line segment AB has actually 2 finish points A and B. It starts from point A and ends at allude B. One and also just one line-segment can be between two offered points A and also B. This line-segment is called AB. It may likewise be referred to as BA. Line BA is the exact same as line AB. Both pass with the same two points A and also B.

Line segment can additionally be a component of a line as in the figure listed below.

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A line-segment may be additionally a component of ray. In the figure below, a line segment AB has actually 2 finish points A and also B. It is a component of a ray beginning from A.

Parallel lines

Two lines in the same aircraft either fulfill or carry out not accomplish. If the two lines on a airplane satisfy, we say the 2 lines intersect and the suggest wright here they accomplish is referred to as allude of interarea. If the two lines cannot meet at any allude, they are referred to as parallel lines. No 2 points have the right to be widespread to two parallel lines.

In the figure over, the two lines execute not intersect each various other. Even if we extfinish these lines further, they will not touch or accomplish each other. They are parallel lines.

Intersecting lines

Let us look at the 2 lines AB and CD in number above. They intersect at suggest O. Hence they are not parallel lines. Point O is the allude of their intersection.

Conpresent lines

Three or more lines passing via the exact same point on a plane are called conpresent lines. In the figure below, the three lines AB, CD and also EF intersect each other at suggest O.

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Collinear points

Three or more points in a plane* are said to be colstraight if they all lie on the exact same line.

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In the figure above, points A, B and C are on the exact same line. Hence these 3 points A, B and C is coldirect.

*Flat surchallenge is called a aircraft in Geomeattempt. We can say a item of paper from our Exercise Publication is a aircraft.

Measurement of line segment

A ruler is an instrument offered in geometry. We usage a ruler to attract a line segment. We use it additionally to meacertain size of a line segment.

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A leader is primarily 1 ft (30 cm) long and is called One foot ruler. Sometime it is ssuggest called range. Some rulers are 6 inches (15cm) lengthy and are dubbed fifty percent foot ruler. One edge of a leader has actually scales noted in inches and also the various other edge has actually scales noted in cm.

We place the leader through its edge along the line-segment AB with the zero mark of the ruler at the start suggest A of the line-segment. We check out the note on the ruler at the other endallude B of the line-segment.

Points to Remember

A tiny dot marked is a suggest.A point has no length, width or thickness.A point specifies the precise location.A ray starts from a point and also goes to infinity.A line has no finish points.A line segment has two endpoints.A line segment connects both endpoints.If the two lines cannot meet at any kind of allude, they are dubbed parallel lines.Three or more points on the exact same line are said to be collinear pointsA leader is used to draw a line segment and meacertain its size.

Questions and also Answers

Inquiry 1: Draw two points A and also B on a file and also attract line-segment.

Answer: We mark a Point A on a creating web page and then mark an additional allude B on the exact same Page. We sign up with these two points utilizing a line. This is the line segment.

Question 2: Draw two intersecting lines.

Answer: We take a leader and attract a line AB. Then we slightly rotate the ruler and draw one more line CD in such a method that it passes with any one allude of line AB.

Concern 3: Write 2 major differences in between line and line segment.

Answer:

A line segment has two endpoints. A line has actually no end allude.A line-segment has a definite size. But a line does not have actually definite size.

Question 4: Write two key distinctions in between a line and a ray.

Answer:

A line goes without finish in both directions but a ray has one endallude and goes without finish in one direction.The line AB is exact same as the line BA. But the ray AB is different than the ray BA.

Inquiry 5: What do collinear points mean?

Answer: Collinear points are points on the exact same line. Three or even more points in a aircraft are said to be colstraight if they all lie on the very same line.

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Exercise

1. Identify the figure below?

RayLineLine Segment

2. Identify the figure below?

RayLineLine Segment

3. Identify the figure below?

RayLineLine Segment

4. Which of the following has a defined length?

RayLineLine Segment

True or False

5. The two lines in the figure listed below are parallel lines

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TrueFalse

6. The two lines in the number below are parallel lines

TrueFalse

Fill in the blanks

7. ………………… has a definite length

RayLineLine Segment

8. ………………… has actually no finish points

RayLineLine Segment

9. Which of the adhering to is just one end point?

RayLineLine Segment

10. Which of the complying with statements is NOT correct?

An infinite number of lines deserve to be attracted passing through a suggest.Two lines always satisfy at some point.A line is longer than a line-segment.