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A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0). Head over to SplashLearn to know more about the concepts of a coordinate plane.
Step 1: Let m be the given line and A the given point on it. Step 2: Place the protractor on the line m such that its base line coincides with m, and its centre falls on A. Step 3: Mark a point B against the 90 degree mark on the protractor. Step 4: Draw a line n passing through A and B. Then line m b o t line n at A.
Example 1: The point where both the axes intersect is known as the origin. Coordinates of the origin are written as O (0, 0). Example 2: In the figure below, the coordinates of point A are (3,4). It means that the point is 3 units along the x-axis and 4 units up. Example 3: Coordinates of a point on X-axis and Y-axis.
Performing dilations. To dilate a point on a coordinate plane, you multiply its coordinates by a scale factor. The scale factor is a positive number that tells you how much to enlarge or shrink the point. If the scale factor is greater than 1, the point moves away from the origin. If the scale factor is less than 1, the point moves closer to ...
- 3 min
- Sal Khan
In the three-dimensional coordinate system, in addition to the usual x and y- axes there is a third, the z-axis, that goes in and out of the screen at right angles to the other two. The origin is the point O where all three axes intersect. This point has the coordinates 0,0,0.
The distance from each vertex (and actually each and every single point ) of the preimage to the origin is equal to distance between the origin and each point of the image . Example 5 The origin might be the most common point of reflection, but you can use any point.
An ordered pair refers to a pair of two numbers (or variables) written inside brackets and are separated by a comma. For example, (1, 2) is an ordered pair. In coordinate geometry, it represents a point and in set theory, it represents an element of a relation/cartesian product.
