Question
A translation of (x, y) → (x + 4, y - 3) is applied to ΔPQR.P (-3, 3), Q(2, 7), R(7, 2). The coordinate of P’ is
- (1, 0)
- (4, -3)
- (2,3)
- (7,3)
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 a triangle: ΔPQR.P (-3, 3), Q(2, 7), R(7, 2), we have to find the translation of P' (x, y) → (x + 4, y - 3) when it is applied.
The correct answer is: (1, 0)
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 a triangle: ΔPQR.P (-3, 3), Q(2, 7), R(7, 2)
We have to shift the points from the given coordinates to (4,-3).
Lets consider P, we have to shift 4 units to right and 3 units down.
P (-3, 3) ------- P' (-3+4, 3-3)
P (-3, 3) ------- P' (1, 0)
Lets consider Q, we have to shift 4 units to right and 3 units down.
Q (2, 7) ------- Q' (2+4, 7-3)
Q (2, 7) ------- Q' (6, 4)
Lets consider R, we have to shift 4 units to right and 3 units down.
R (7, 2) ------- R' (7+4, 2-3)
R (7, 2) ------- R' (11, -1)
So the algebraic representation of P' will be: (1, 0)
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 of P' will be: (1, 0)
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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.
In translation if the image moves to the right, then it moves
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.
