Question
The image of the point (1, 2) after moving 5 units right is
- (6,2)
- (6,7)
- (5,6)
- (5,2)
Hint:
Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.
We have given to find the image of the point (1, 2) after moving 5 units right.
The correct answer is: (6,2)
Now as we said that in translation, a point or a figure can move up, down, right, left, or anywhere else in the coordinate system. Any point can be located using a Cartesian coordinate system or coordinate system, and that point can be displayed as an ordered pair (x, y) known as Coordinates.
We have to shift the points from (1,2) to 5 units to the right. Here we have to note that we have asked to move only in right, which means only the x-axis will be shifted. The y-axis will remain the same
Let's take x, we have to shift 5 units to right. So it will be:
x ---- 1+5
x ---- 6
For the y-axis, it is already 2.
So the algebraic representation will be: (1,2) → (6,2).
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. The algebraic representation is: (1,2) → (6,2).
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