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प्रश्न
The point P(x, y) is first reflected in the x-axis and reflected in the origin to P’. If P’ has co-ordinates (–8, 5); evaluate x and y.
उत्तर
Mx (x, y) = (x, –y)
MO (x, –y) = (–x, y)
Thus, we get the co-ordinates of the point P’ as (–x, y). It is given that the co-ordinates of P’ are (–8, 5).
On comparing the two points, we get, x = 8 and y = 5
APPEARS IN
संबंधित प्रश्न
State the co-ordinates of the following point under reflection in the line x = 0:
(–6, 4)
A point P is reflected in the x-axis. Co-ordinates of its image are (–4, 5). Find the co-ordinates of the image of P under reflection in the y-axis.
A point P is reflected in the origin. Co-ordinates of its image are (–2, 7). Find the co-ordinates of the image of P under reflection in the x-axis.
A point P is reflected in the x-axis. Co-ordinates of its image are (8, −6). Find the co-ordinates of P. Find the co-ordinates of the image of P under reflection in the y-axis.
A point P is mapped onto P' under the reflection in the x-axis. P' is mapped onto P" under the reflection in the origin. If the co-ordinates of
P" are (5,-2), write down the co-ordinates of P. State the single transformation that takes place.
A point P (-8, 1) is reflected in the x-axis to the point P'. The point P' is then reflected in the origin to point P". Write down the co-ordinates of P". State the single transformation that maps P into P".
Write down the co-ordinates of the image of (5, – 4).
Reflection in x = 0;
Write down the co-ordinates of the image of (5, – 4).
Reflection in y = 2.
A point P(a, b) is reflected in the X-axis to P'(2, – 3). Write down the value of a & b. P” is the image of P, when reflected on the Y-axis. Write down the co-ordinates of P” when P is reflected in the line parallel to the Y-axis, such that x = 4.
Use a graph paper to answer the following questions. (Take 1 cm = 1 unit on both axis):
(i) Plot A (4, 4), B (4, – 6) and C (8, 0), the vertices of a triangle ABC.
(ii) Reflect ABC on the y-axis and name it as A’B’C’.
(iii) Write the coordinates of the images A’, B’ and C’.
(iv) Give a geometrical name for the figure AA’ C’B’ BC.
(v) Identify the line of symmetry of AA’ C’ B’ BC.
