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A point P is reflected in the origin. Co-ordinates of its image are (–2, 7). Find the co-ordinates of P. - Mathematics

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प्रश्न

A point P is reflected in the origin. Co-ordinates of its image are (–2, 7). Find the co-ordinates of P.

एक पंक्ति में उत्तर

उत्तर

Since, MO (2, –7) = (–2, 7) So, the co-ordinates of P are (2, –7).

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Reflection of a Point in the Origin.
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अध्याय 12: Reflection - Exercise 12 (A) [पृष्ठ १६५]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 12 Reflection
Exercise 12 (A) | Q 9.1 | पृष्ठ १६५

संबंधित प्रश्न

State the co-ordinates of the following point under reflection in origin:

(–2, –4)


State the co-ordinates of the following point under reflection in the line y = 0:

(–3, 0)


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”.

  1. Write down the co-ordinates of A”.
  2. Write down a single transformation that maps A onto A”.

The triangle ABC, where A is (2, 6), B is (-3, 5) and C is (4, 7), is reflected in the y-axis to triangle A’B’C’. Triangle A’B’C’ is then reflected in the origin to triangle A”B”C”.

(i) Write down the co-ordinates of A”, B” and C”.

(ii) Write down a single transformation that maps triangle ABC onto triangle A”B”C”.


State the co-ordinates of the images of the following point under reflection in the origin:

(0, 2)


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 a graph paper for this question (take 10 small divisions = 1 unit on both axis).
Plot the points P (3, 2) and Q (-3, -2), from P and Q draw perpendicular PM and QN on the X- axis.
(i) Name the image of P on reflection at the origin.
(ii) Assign, the. special name to the geometrical figure. PMQN and find its area.
(iii) Write the co-ordinates of the point to which M is mapped on reflection in (i) X- axis,
(ii) Y-axis, (iii) origin.


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