मराठी

State the Co-ordinates of the Images of the Following Point Under Reflection in the Origin: - Mathematics

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प्रश्न

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

(9,-9)

एका वाक्यात उत्तर

उत्तर

The co-ordinate of the given point under reflection in the origin is:  (-9, 9)

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Reflection of a Point in the Origin.
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Reflection - Exercise 8.1

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फ्रँक Mathematics - Part 2 [English] Class 10 ICSE
पाठ 8 Reflection
Exercise 8.1 | Q 3.4

संबंधित प्रश्‍न

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

(–3, 0)


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


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.


The point (–5, 0) on reflection in a line is mapped as (5, 0) and the point (–2, –6) on reflection in the same line is mapped as (2, –6).

  1. Name the line of reflection.
  2. Write down the co-ordinates of the image of (5, –8) in the line obtained in (a).

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:

(0, 2)


The image of triangle OXY under reflection in the origin, O is the triangle OX1Y1, where X1(-3, -4) is the image of X and Y1, (0, -5) is the image of Y.
(i) Draw a diagram to represent this information and write down the co-ordinates of X and Y.
(ii) What kind of figure is the quadrilateral XYX1Y1? Give reason for your answer. State, with a reason, whether the figure XYX1Y1 has any lines of symmetry.
(iii) Find the co-ordinates of X2, the image of X under reflection in the origin followed by reflection on the Y-axis.
(iv) Find the co-ordinates of Y2, the image of Y under reflection on the X-axis followed by reflection in the origin.


Use graph paper for this question.
The points A (2, 3), B (4, 5) and C (7, 2) are the vertices of A ABC.

  1. Write down the coordinates of A’, B’, C’ if Δ A’B’C’ is the image of Δ ABC, when reflected in the origin.
  2. 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.
  3. Mention the special name of the quadrilateral BCC” B” and find its area.

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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