A point $(5, 4)$ is translated through a distance of $5$ units along negative x - axis and then $4$ units along negative y - axis. What will be the image of the point in x - axis after these translations?

$(0, - 4)$

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$(5, 0)$

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$(0, 0)$

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It will not form any image.

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Solution

The correct option is C
$(0, 0)$

The point $(5, 4)$ translates $5$ units in negative x - direction to become $(0, 4)$ and then it translates $4$ units in negative y - direction to become $(0, 0)$ . Since, the point $(0, 0)$ lies on the intersection of x and y axis, its image in either of the axis will be $(0, 0)$ .

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A point (5,4) is translated through a distance of 5 units along negative x - axis and then 4 units along negative y - axis. What will be the image of the point in x - axis after these translations?

The correct option is C (0,0) The point (5,4) translates 5 units in negative x - direction to become (0,4) and then it translates 4 units in negative y - direction to become (0,0). Since, the point (0,0) lies on the intersection of x and y axis, its image in either of the axis will be (0,0).

A point $(5, 4)$ is translated through a distance of $5$ units along negative x - axis and then $4$ units along negative y - axis. What will be the image of the point in x - axis after these translations?