The reflection of A (2, 3) in the line y = x is A' (3, 2). Write down the co-ordinates of the image of each of the points reflected in the line y = x
(i) (4, 1)
(ii) (- 2, - 3).

(i) (1, 4)
(ii) (-3, -2)

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(i) (1, -4)
(ii) (-2 , 3)

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(i) (1, 4)
(ii) (-3, -2)

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Coordinates will remain unchanged for both (i) and (ii).

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Solution

The correct option is A
(i) (1, 4)
(ii) (-3, -2)

The reflection of A (2, 3) in the line y = x is A'(3, 2). In this reflection the x and y co-ordinates are interchanged.Therefore the reflection of given points in the line y = x will be
(i) (1, 4)
(ii) (- 3, - 2).

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Similar questions

Find the co-ordinates of the following points when reflected in the line line x = 2.

i) (4, 1)

ii) (3, -2)

iii) (6, -2)

State the co-ordinates of the following points under reflection in the line y - 0;

(i) (-3, 0) (ii) (8, -5) (iii) (-1, -3)

Find the coordinates of the image of the point $(5, - 3)$ under (i) reflection in the x- axis (ii) reflection in the y- axis and (iii) reflection in the origin.

(i) Plot the points A (3, 5) and B (-2, -4). Use 1 cm = 1 unit on both the axes.

(ii) A' is the image of A when reflected in the x-axis. Write down the co-ordinates of A' and plot it on the graph paper.

(iii) B' is the image of B when reflected in the y-axis, followed by reflection in the origin. Write down the co-ordinates of B' and plot it on the graph paper.

(iv) Write down the geometrical name of the figure AA'BB'.

(v) Name two invariant points under reflection in the x-axis.

Q. Point

A (3, - 2)

on reflection in the x-axis is mapped as A' and point B on reflection in the y-axis is mapped onto

B^{'} (- 4, 3) .

(i) Write down the coordinates of A' and B.
(ii) Find the slope of the line A'B, hence find its inclination.

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The reflection of A (2, 3) in the line y = x is A' (3, 2). Write down the co-ordinates of the image of each of the points reflected in the line y = x (i) (4, 1) (ii) (- 2, - 3).

The correct option is A (i) (1, 4) (ii) (-3, -2) The reflection of A (2, 3) in the line y = x is A'(3, 2). In this reflection the x and y co-ordinates are interchanged.Therefore the reflection of given points in the line y = x will be (i) (1, 4) (ii) (- 3, - 2).

The reflection of A (2, 3) in the line y = x is A' (3, 2). Write down the co-ordinates of the image of each of the points reflected in the line y = x
(i) (4, 1)
(ii) (- 2, - 3).

The correct option is A
(i) (1, 4)
(ii) (-3, -2)

The reflection of A (2, 3) in the line y = x is A'(3, 2). In this reflection the x and y co-ordinates are interchanged.Therefore the reflection of given points in the line y = x will be
(i) (1, 4)
(ii) (- 3, - 2).