Question
A translation function is defined by the rule (x, y) → (x + 2, y - 5).
Which choice will be the image of the point (3, 6) under this translation?
- (5, 1)
- (5, 11)
- (1, 1)
- (-1, 11)
Hint:
The 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 point (3, 6), we have to find the image for the translation function of (x, y) → (x + 2, y - 5) when it is applied.
The correct answer is: (5, 1)
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 point (3, 6). The translation function is (x, y) → (x + 2, y - 5).
We have to shift the points from the given coordinates to (2, -5).
Let's consider (3, 6), we have to shift 2 units to right and 5 units down.
(3, 6) ------- (3+2, 6-5)
(3, 6) ------- (5, 1)
So the algebraic representation will be: (5, 1)
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 will be: (5, 1).
Related Questions to study
Which of the following figures has multiple lines of symmetry (more than one line of symmetry)?
If a line can be drawn separating a figure into two identical pieces, the figure possesses line symmetry. The path is known as a symmetry line. A figure might only contain one line of symmetry, two lines of symmetry, or none at all. So here the figure 4 has more than 1 line of symmetry.
Which of the following figures has multiple lines of symmetry (more than one line of symmetry)?
If a line can be drawn separating a figure into two identical pieces, the figure possesses line symmetry. The path is known as a symmetry line. A figure might only contain one line of symmetry, two lines of symmetry, or none at all. So here the figure 4 has more than 1 line of symmetry.
The result of a translation is _______.
In this question, we used the concept of translation and found out that its an image that is formed after translation. 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. Translation is changing of position of the image.
The result of a translation is _______.
In this question, we used the concept of translation and found out that its an image that is formed after translation. 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. Translation is changing of position of the image.
Which of the following alphabets has no line of symmetry?
Hence P has no line of symmetry.
Which of the following alphabets has no line of symmetry?
Hence P has no line of symmetry.
A translation of (x, y) → (x + 4, y - 3) is applied to Δ PQR.P (-3, 3), Q (2, 7), R (7, 2). The coordinate of P’ is
The required point has been calculated with the given equation.
A translation of (x, y) → (x + 4, y - 3) is applied to Δ PQR.P (-3, 3), Q (2, 7), R (7, 2). The coordinate of P’ is
The required point has been calculated with the given equation.
Translation is possible
Translation is possible both vertical and horizontal.
Translation is possible
Translation is possible both vertical and horizontal.
Find the value of ∠ABD if AB = AC and DB = DC
Find the value of ∠ABD if AB = AC and DB = DC
Which of the following relation is correct?
Which of the following relation is correct?
Which of the following figures has only two lines of symmetry?
Hence option C is the correcct option
Which of the following figures has only two lines of symmetry?
Hence option C is the correcct option
From the given diagram, what can be said about sides AC and PC?
From the given diagram, what can be said about sides AC and PC?
An algebraic representation of translation of a point 6 units to the right and 3 units up
Hence option A (x+6,y+3) is the suitable option.
An algebraic representation of translation of a point 6 units to the right and 3 units up
Hence option A (x+6,y+3) is the suitable option.
Which of the following relation is correct if PQ = PS, PR = PT and ∠QPS = ∠TPR?
Which of the following relation is correct if PQ = PS, PR = PT and ∠QPS = ∠TPR?
Choose the image which shows reflective symmetry.
In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry. In 2D there is a line/axis of symmetry, in 3D a plane of symmetry.
Choose the image which shows reflective symmetry.
In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry. In 2D there is a line/axis of symmetry, in 3D a plane of symmetry.
From the diagram given below, what is the true relation between ∠ABC and ∠ABD?
From the diagram given below, what is the true relation between ∠ABC and ∠ABD?
The following triangles are congruent under PRQ ↔ XYZ. Which part of Δ XYZ correspond to PQ?
The following triangles are congruent under PRQ ↔ XYZ. Which part of Δ XYZ correspond to PQ?
A triangle has __________ vertices.
A triangle has __________ vertices.
