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Question

There are no labels on the x-axis and the y-axis. The origin is also not marked. What are the coordinates of point A if the coordinates of point B are (3, 6)?


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Solution

The coordinates of point B are (3, 6).

Identifying the axis markings:
Coordinates of point B: (3,6)
Travel 6 units vertically downwards from B. As this is the distance of point B from the xaxis, let’s consider this horizontal line segment as the xaxis.
Now, travel 3 units from the last location toward the left on the xaxis and reach the origin. Let’s consider this leftmost vertical line segment as the yaxis.

Identifying the coordinates of point A:
Travel vertically downwards from A. As this is the distance of point A from the xaxis, let’s consider this distance as the y-coordinate of point A.
Distance traveled vertically = ycoordinate of point A = 5
Travel horizontally toward the origin from the last location. As this is the distance of point A from the yaxis, let’s consider this distance as the xcoordinate of point A.
Distance traveled horizontally = xcoordinate of point A = 6
Hence, the coordinates of point A: (6, 5)


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