Point

Point is the straightforward building block the Geometry. Every form is made v the combine the points.

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A tiny dot significant by a pencil is a point. A point has no size or width. It has no thickness. Allude is a note of position. A point specifies the exact location. Point is denoted through a period (.) and also is called by one alphabet.

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In the number above, O is a point as it has a definite mark. Here it suggests this allude O is situated at the centre of the plane. In the figure below, there is another point A. It is situated at best bottom the the plan.

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Ray

Let united state think that a torch. The light rays come out of it and also move away. Let us take instance of sun. The rays start from sun and also go in every directions and also reach come us.

In Geometry also, a ray starts indigenous a point and may go to infinity. It has staring allude but has no finish point. Us say a ray has one endpoint and also goes without end in one direction.

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

Its size cannot it is in measured. An unlimited variety of rays can be drawn in various directions native a given point

The rays coming from torch or sun are instances of rays.

This is a ray since a ray has one endpoint and goes without finish in one direction

Line

Look in ~ the figure above. There room arrows ~ above both sides. It shows it have the right to go more on both political parties without end. This is dubbed line.

A line goes without end in both directions. Both end of a line can go to infinity. A line has no end points. The length of a heat cannot be measured. A line has no identify length.

A line is called by any two points on it and also written together line ab or line PQ. One and also only one line deserve to be drawn passing v two offered points A and also B. This heat is dubbed AB. It may likewise be dubbed BA. Line BA is the very same as line AB. Both pass v the very same two point out A and B.

An unlimited variety of lines can be attracted passing with a given allude A.

A horizontal heat goes right left or right across. A vertical heat goes straight up or down.

A diagonal line line have the right to be in any kind of direction in between horizontal line and vertical line.

Line Segment

Now look at the number above. There is no arrow on any type of end. The starts native one point and end at another point. This is dubbed a heat segment. A ar of a heat is a heat segment.

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

Let us note two small dots (.) by a pencil together points A and B. Permit us join them by drawing a right line. This forms a heat segment. A heat segment is named by its two endpoints and written as line-segment abdominal or line-segment PQ.

In the figure above, a line segment ab has two end points A and also B. It starts from allude A and also ends at suggest B. One and also only one line-segment can be between two provided points A and also B. This line-segment is called AB. That may also be referred to as BA. Line BA is the same as line AB. Both pass v the very same two points A and also B.

Line segment can also be a component of a line together in the number below.

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A line-segment might be also a component of ray. In the number below, a line segment abdominal muscle has two end points A and B. It is a component of a ray starting from A.

Parallel lines

Two lines in the same plane either fulfill or do not meet. If the 2 lines on a aircraft meet, we say the 2 lines intersect and the point where they satisfy is called allude of intersection. If the 2 lines cannot fulfill at any point, they are dubbed parallel lines. No 2 points have the right to be typical to two parallel lines.

In the number above, the 2 lines execute not intersect each other. Also if we prolong these present further, they will certainly not touch or fulfill each other. They space parallel lines.

Intersecting lines

Let united state look at the two lines ab and CD in figure above. They intersect at allude O. Thus they space not parallel lines. Suggest O is the suggest of your intersection.

Concurrent lines

Three or more lines passing v the same suggest on a aircraft are called concurrent lines. In the number below, the 3 lines AB, CD and also EF crossing each other at point O.

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Collinear points

Three or an ext points in a plane* are said to be collinear if they every lie on the very same line.

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In the number above, clues A, B and also C are on the very same line. Hence these 3 points A, B and C is collinear.

*Flat surface ar is called a airplane in Geometry. We can say a item of paper from our Exercise publication is a plane.

Measurement of line segment

A ruler is one instrument supplied in geometry. We usage a leader to draw a line segment. We usage it additionally to measure length of a line segment.

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A leader is normally 1 ft (30 cm) long and is called One foot ruler. At some point it is simply called scale. Some rulers are 6 inches (15cm) long and also are called fifty percent foot ruler. One edge of a ruler has scales significant in inches and the other edge has actually scales marked in cm.

We location the ruler with the edge along the line-segment abdominal with the zero note of the leader at the start suggest A of the line-segment. We check out the mark on the ruler at the various other endpoint B the the line-segment.

Points come Remember

A small dot significant is a point.A suggest has no length, broad or thickness.A allude specifies the specific location.A ray starts indigenous a point and goes to infinity.A line has no end points.A heat segment has two endpoints.A line segment connects both endpoints.If the 2 lines cannot fulfill at any point, lock are dubbed parallel lines.Three or more points top top the very same line are said to be upright pointsA leader is offered to attract a line segment and also measure its length.

Questions and Answers

Question 1: attract two points A and also B on a record and attract line-segment.

Answer: We mark a point A ~ above a creating page and then note another suggest B on the exact same Page. We join these 2 points utilizing a line. This is the heat segment.

Question 2: attract two intersecting lines.

Answer: We take it a ruler and also draw a line AB. Then us slightly rotate the ruler and also draw an additional line CD in together a method that it passes through any one allude of line AB.

Question 3: create two main differences in between line and also line segment.

Answer:

A heat segment has actually two endpoints. A line has no end point.A line-segment has actually a identify length. But a line does not have actually definite length.

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

Answer:

A line goes without finish in both directions yet a ray has actually one endpoint and also goes without end in one direction.The line ab is exact same as the line BA. Yet the ray abdominal is various than the ray BA.

Question 5: What carry out collinear point out mean?

Answer: Collinear points room points ~ above the exact same line. Three or much more points in a aircraft are stated to be upright if they every lie ~ above the exact same line.

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Exercise

1. Recognize the number below?

RayLineLine Segment

2. Recognize the number below?

RayLineLine Segment

3. Identify the figure below?

RayLineLine Segment

4. I m sorry of the adhering to has a defined length?

RayLineLine Segment

True or False

5. The 2 lines in the figure listed below are parallel lines

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TrueFalse

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

TrueFalse

Fill in the blanks

7. ………………… has actually a identify length

RayLineLine Segment

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

RayLineLine Segment

9. I m sorry of the complying with is just one end point?

RayLineLine Segment

10. I m sorry of the complying with statements is no correct?

An unlimited variety of lines have the right to be drawn passing v a point.Two lines always meet at part point.A heat is longer than a line-segment.