Question

Write the abscissa and ordinate of the point \[\left( {4, - 8} \right)\].
A) Abscissa \[:4\], Ordinate \[: - 8\]
B) Abscissa \[:3\], Ordinate \[: - 8\]
C. Abscissa \[:2\], Ordinate \[: - 8\]
D. None of these.

Answer 1

Hint: For this question, we have to recollect the concepts of the two-dimensional geometry. The definitions of abscissa and ordinate are written and the solution is found according to the definition, matching the question to it.

Complete step-by-step solution:
The given point is \[\left( {4, - 8} \right)\]
According to two-dimensional geometry,
The origin has an equal distance to both the axes.
That is the horizontal \[x\]-axis and the vertical \[y\]-axis.
The abscissa refers to the horizontal \[x\]-axis coordinate. This means, the distance of the point from the origin to the horizontal \[x\]-axis is the abscissa.
Here, in the given point, the horizontal distance from the origin to the horizontal \[x\]-axis is the first coordinate, the \[x\] coordinate.
The \[x\]coordinate of the point is \[4\]
Therefore, the abscissa is \[4\]
Now, defining the ordinate in a similar way to the abscissa, we have:
The ordinate refers to the vertical \[y\]-axis coordinate. This means, the distance of the point from the origin to the vertical\[y\]-axis is the coordinate.
Here, in the given point, the vertical distance from the origin to the vertical \[y\]-axis is the second coordinate, the \[y\] coordinate.
The \[y\]coordinate of the point is \[ - 8\]
Therefore, the ordinate is \[ - 8\]
Therefore, we get;
Abscissa\[ = 4\]
Ordinate\[ = - 8\]

$\therefore $ The correct option is A.

Note: We have to mind that, here the two-dimensional geometry is the Cartesian coordinate system. An ordered pair consists of two elements, namely abscissa and ordinate, where the abscissa is the horizontal element represented first and the ordinate is the vertical element represented second.