What is the Cartesian Plane? | Don't Memorise

Summary

This video explains the Cartesian plane, where points are identified using X and Y axes. The plane is divided into four quadrants, each with distinct characteristics. The first quadrant has both X and Y coordinates positive, the second has negative X and positive Y, the third has both negative X and Y, and the fourth has positive X and negative Y. The video also explores points that lie on the axes, emphasizing that each point in the plane will either be in a quadrant or on one of the axes.

Takeaways

• 😀 The X and Y axes are used to locate points on a plane, known as the Cartesian plane.
• 😀 The Cartesian plane is divided into four regions called quadrants.
• 😀 The quadrants are named in a specific order, which should be strictly followed.
• 😀 The first quadrant has both positive X and Y coordinates.
• 😀 In the second quadrant, the X coordinate is negative while the Y coordinate is positive.
• 😀 The third quadrant has both negative X and Y coordinates.
• 😀 In the fourth quadrant, the X coordinate is positive and the Y coordinate is negative.
• 😀 Each point on the Cartesian plane lies either in one of the quadrants or on one of the axes.
• 😀 Point A lies in the second quadrant, point B in the first, point C in the third, and point D in the fourth quadrant.
• 😀 Points can also lie directly on the axes, such as point E on the Y-axis and point F on the X-axis.
• 😀 The quadrants and axes help classify and organize the location of every point on the Cartesian plane.

Q & A

What is the Cartesian plane?

The Cartesian plane is a two-dimensional plane formed by the intersection of the X-axis and Y-axis, used to locate points.

How many quadrants are there in the Cartesian plane?

There are four quadrants in the Cartesian plane, each representing a different combination of positive and negative X and Y coordinates.

How are the quadrants numbered?

The quadrants are numbered in an anticlockwise direction, starting from the top-right quadrant as the first quadrant.

What are the signs of X and Y coordinates in the first quadrant?

In the first quadrant, both X and Y coordinates are positive.

What are the signs of X and Y coordinates in the second quadrant?

In the second quadrant, X coordinates are negative while Y coordinates are positive.

What are the signs of X and Y coordinates in the third quadrant?

In the third quadrant, both X and Y coordinates are negative.

What are the signs of X and Y coordinates in the fourth quadrant?

In the fourth quadrant, X coordinates are positive while Y coordinates are negative.

Where does a point lie if it is on the X-axis or Y-axis?

A point on the X-axis or Y-axis does not lie in any quadrant; it is considered to be on an axis.

Can a point lie outside the quadrants on the Cartesian plane?

Yes, a point can lie directly on the X-axis or Y-axis, which places it outside the quadrants.

How can we identify the quadrant of a point?

The quadrant of a point is identified based on the signs of its X and Y coordinates: (+,+) first, (–,+) second, (–,–) third, (+,–) fourth.

What happens if we mark points A, B, C, and D on the plane?

Point A lies in the second quadrant, Point B in the first quadrant, Point C in the third quadrant, and Point D in the fourth quadrant.

Why is it important to follow the correct order of quadrants?

Following the correct order ensures consistent identification and understanding of positions of points on the Cartesian plane.