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प्रश्न
The point A(4, 6) is first reflected in the origin to point A’. Point A’ is then reflected in the y-axis to the point A”.
- Write down the co-ordinates of A”.
- Write down a single transformation that maps A onto A”.
उत्तर
i. The reflection in origin is given by MO (x, y) = (–x, –y).
A’ = reflection of A(4, 6) in the origin = (–4, –6)
The reflection in y-axis is given by My (x, y) = (–x, y).
A” = reflection of A’(–4, –6) in the y-axis = (4, –6)
ii. The reflection in x-axis is given by Mx (x, y) = (x, –y).
The reflection of A(4, 6) in x-axis is (4, –6).
Thus, the required single transformation is the reflection of A in the x-axis to the point A”.
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संबंधित प्रश्न
State the co-ordinates of the following point under reflection in origin:
(–2, –4)
P and Q have co-ordinates (–2, 3) and (5, 4) respectively. Reflect P in the x-axis to P’ and Q in the y-axis to Q’. State the co-ordinates of P’ and Q’.
Point A (4, –1) is reflected as A’ in the y-axis. Point B on reflection in the x-axis is mapped as B’ (–2, 5). Write down the co-ordinates of A’ and B.
State the co-ordinates of the images of the following point under reflection in the origin:
(-1,-4)
State the co-ordinates of the images of the following point under reflection in the origin:
(2, 7)
Find the co-ordinates of the images of the following under reflection in the origin:
(3, -7)
Find the co-ordinates of the images of the following under reflection in the origin:
`((-5)/(2),(-1)/(2))`
Find the co-ordinates of the images of the following under reflection in the origin:
(0, 0).
Point A (2, -4) is reflected in origin as A’. Point B (- 3, 2) is reflected on X-axis as B’.
(i) Write the co-ordinates of A’.
(ii) Write the co-ordinates of B’.
(iii) Calculate the distance A’B’.
Give your answer correct to 1 decimal place, (do not consult tables).
Use graph paper for this question.
The points A (2, 3), B (4, 5) and C (7, 2) are the vertices of A ABC.
- Write down the coordinates of A’, B’, C’ if Δ A’B’C’ is the image of Δ ABC, when reflected in the origin.
- Write down the co-ordinates of A”, B”, C” if A” B” C” is the image of Δ ABC, when reflected in the x-axis.
- Mention the special name of the quadrilateral BCC” B” and find its area.
