Question

State true or false. The ordinate of a point is its x coordinate.

Answer 1

Hint: In this question, we are given a statement regarding ordinate of a point and we need to check if it is true or false. For this we will understand the definition of ordinate in the coordinate system. After that we will check our given statement and conclude the answer.

Complete step-by-step answer:
Here we are given the statement that the ordinate of a point is its x coordinate. We need to check if it is true or false. Let us first understand the meaning of ordinate. In the coordinate system, we have two terms for the coordinate of any point that are abscissa and ordinate. Abscissa is the distance from a point to the vertical or y axis, measured parallel to the horizontal or x axis whereas ordinate is the distance from a point to the horizontal or x axis, measured parallel or vertical to the y axis. From this, we can say that x axis consist of abscissa and y axis consist of ordinates.
A point in a coordinate system can be written in the form (x,y). From definition, we see that, the ordinate is the second component of this ordered pair i.e. y coordinate is the ordinate, similarly, x coordinate is the abscissa.
For example: In (2,3) we have x coordinate as 2 and y coordinate as 3. But we can also say that point (2,3) has 2 as its abscissa and 3 as its ordinate.

Therefore the ordinate of a point is its y coordinate. But we are given the statement that the ordinate of a point is its x coordinate which is false.
Hence the given statement is false.

Note: Students often get confused between the terms ordinate and coordinate. The term coordinate represents the position of the point along the line, whereas the term ordinate represents the value of coordinate from y axis.