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Standard VII

Mathematics

Image of a Point W.R.T Origin

Based on the ...

Question

Based on the points and their images given below, match the following with respect to their transformation.

Reflection in origin

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Reflection in y-axis

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Reflection in x-axis

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Invariant point

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Solution

(5,-7) to (-5,7) Here both abscissa and ordinate are changing their signs. This happens when a point is reflected in origin.

(4,-8) to (-4,-8) Here, only sign of abscissa is changed. This is possible when a point is reflected in y-axis.

(4,2) to (4,-2) Here, only sign of ordinate is changed. This implies point is reflected in x-axis.

(0,6) to (0,6) Here, image of a point is the point itself i.e it is invariant point and is reflected on y-axis.

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Similar questions

Complete the following table :

Point Transformation Image

(a) (5, -7)-------------------------------(-5, 7)

(b) (4, 2) Reflection x-axis ---------

(d) (6, -6) ----------------- (-6, 6)

(e) (4, -8) ------------------ (-4, -8)

Q. Based on the points and their images given below, match the following with respect to their transformation.

Based on the given points and the coordinates of their images, investigate the line of reflection for each pair.

Q. Which of the images given in options is the reflection transformation of the following image with respect to the Y-axis?

Q. Points

(- 5, 0)

and

(4, 0)

are invariant points under reflection in the line

L_{1}

; points

(0, - 6)

and

(0, 5)

are invariant on reflection in the line

L_{2}

.
(a) Name or write equations for the lines

L_{1}

and

L_{2}

.
(b) Write down the images of

P (2, 6)

and

Q (- 8, - 3)

on reflection in

L_{1}

. Name the images as

P^{'}

and

Q^{'}

respectively.
(c) Write down the images of

P

and

Q

on reflection in

L_{2}

. Name the images as

P^{''}

and

Q^{''}

respectively.
(d) State or describe a single transformation that maps

Q^{'}

onto

Q^{''}

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