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प्रश्न
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.
उत्तर
From the question it is given that,
P' = (8, −6)
Therefore, the co-ordinates of P under reflection in the x-axis = (8, 6) and the co-ordinates of P" under reflection in the y-axis = (−8, 6).
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संबंधित प्रश्न
Complete the following table:
| Point | Transformation | Image | |
| (a) | (5, –7) | -------------------- | (–5, 7) |
| (b) | (4, 2) | Reflection in x-axis | ------- |
| (c) | ------- | Reflection in y-axis | (0, 6) |
| (d) | (6, –6) | -------------------- | (–6, 6) |
| (e) | (4, –8) | -------------------- | (–4, –8) |
A point P is its own image under the reflection in a line l. Describe the position of point the P with respect to the line l.
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".
Find the co-ordinates of the image of S(4,-1) after reflection in the line
y = 5
Point A (1 , -5) is mapped as A' on rflection in the line y = 1. The point B (-5 , 1) is mapped as B' on reflection in the line y = 4. Write the co-ordinaes of A' and B' . Calculate AB'.
Point A ( 4,-1) is reflected as A' in the line x= 1. Point B on reflection in the line y=3 is mapped as B' (6,-1). Write the co-ordinates of A' and B. Write the co-ordinates of mid.-ooint of the line sgment A' B'.
State the co-ordinates of the following point under reflection in x-axis:
(–5, 4)
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”.
(i) Point P(a, b) reflected on the X-axis to P'(5, 2). Write down the value of a and b.
(ii) P” is the image of P when reflected on the Y-axis. Write down the co-ordinates of P”.
(iii) Name a single transformation that maps P’ to P”.
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’.
