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Find the Co-ordinates of the Image of a (-5, 4) After Reflection in the Line - Mathematics

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Question

Find the co-ordinates of the image of A (-5, 4) after reflection in the line

y = 0

One Line Answer

Solution

Co-ordinates of image = (-5, 2x0-4)= (-5,-4)

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Reflection of a Point in a Line
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Chapter 8: Reflection - Exercise 8.1

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 8 Reflection
Exercise 8.1 | Q 15.1

RELATED QUESTIONS

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.


The point A(–3, 2) is reflected in the x-axis to the point A’. Point A’ is then reflected in the origin to point A”.

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

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

(–5, 4)


Write down the co-ordinates of the image of (5, – 4).
Reflection in x = 0;


Using a graph paper, plot the points A (6,4) and B (0,4).
(i) Reflect A and B in the origin to get the images A’ and B’.
(ii) Write the co-ordinates of A’ and B’.
(iii) State the geometrical name for. the figure ABA’B’.
(iv) Find its perimeter.


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”.


Use graph paper for this question.
The point P (5, 3) was reflected in the origin to get the image P’.
(i) Write down the co-ordinates of P’.
(ii) If M is the foot of the perpendicular from of P to the X-axis, find the co-ordinates of M.
(iii) If N is the foot of the perpendicular from of P’ to the X-axis, find the co-ordinates of N.
(iv) Name the figure PMP’N.
(v) Find the area of die figure PMP’N.


Use graph paper to answer this question:
(i) Plot the points A (4,6) and B (1, 2).
(ii) A’ is the image of A when reflected in X-axis,
(iii) B’ is the image of B when B is reflected in the line AA’.
(iv) Give the geometrical name for the figure ABA’B’.


Use graph paper to answer the following questions. (Take 2 cm = 1 unit on both axis).
(i) Plot the points A (- 4, 2) and B (2, 4).
(ii) A’ is the image of A when reflected in the y-axis. Plot it on the graph paper and write the coordinates of A’.
(iii) B’ is the image of B when reflected in the line AA’. Write the coordinates of B’.
(iv) Write the geometric name of the figure ABA’B’.
(v) Name a line of symmetry of the figure formed.


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