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प्रश्न
A point P(4, – 1) is reflected to P’ in the line y = 2 followed by the reflection to P” in the line x = -1. Find :
(i) The co-ordinates of P’.
(ii) The co-ordinates of P”.
(iii) The length of PP’.
(iv) The length of P’P”.
उत्तर
(i) P' → (4, 5).
(ii) P'' → (-6, -5).
(iii) PP' = 6 units.
(iv) P'P'' = 10 units.
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संबंधित प्रश्न
A point P is reflected in the x-axis. Co-ordinates of its image are (–4, 5). Find the co-ordinates of P.
P' is the image of P under reflection in the x-axis. If the co-ordinates of P' are (2, 10), write the co-ordinates of P.
Find the co-ordinates of the image of A (-5, 4) after reflection in the line
y = 0
Find the co-ordinates of the image of A (-5, 4) after reflection in the line
y = 4
Find the co-ordinates of the image of S(4,-1) after reflection in the line
y = 5
The image of a point P under reflection on the X-axis is (5, – 2). Write down the co-ordinates of P.
Write down the co-ordinates of the image of (5, – 4).
Reflection in y = 2.
Point A (5, 1) on reflection on X- axis is mapped as A’. Also A on reflection on Y- axis is mapped as A”.
(i) Write the co-ordinates of A’.
(ii) Write the co-ordinates of A”.
(iii) Calculate the distance A’ A”.
(iv) On which coordinate axis does the middle point M of A” A’ lie?
The point P(3, 4) is reflected to P’ in the x-axis and O’ is the image of O (the Origin) in the line PP’ Find :
(i) The coordinates of P’ and O’.
(ii) The length of segment PP’ and OO’.
(iii) The perimeter of the quadrilateral POP’O’
(iv) What is the special name of the quadrilateral POP’O’.
Use graph paper to answer the following questions. (Take 2 cm = 1 unit on both axis).
(i) Plot the points A (- 4, 2) and B (2, 4).
(ii) A’ is the image of A when reflected in the y-axis. Plot it on the graph paper and write the coordinates of A’.
(iii) B’ is the image of B when reflected in the line AA’. Write the coordinates of B’.
(iv) Write the geometric name of the figure ABA’B’.
(v) Name a line of symmetry of the figure formed.
