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सी.आई.एस.सी.ई.आईसीएसई ICSE Class 6

In the Following Case, Construct a Point that is Symmetric to the Given Point P with Respect to the Given Line Ab. - Mathematics

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प्रश्न

In the following case, construct a point that is symmetric to the given point P with respect to the given line AB.

आकृति

उत्तर

Draw PQ perpendicular to AB from PO produced cut OQ = OP.

Point Q is symmetric to the given point P with respect to the given line AB.

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अध्याय 30: Revision Exercise Symmetry (Including Constructions on Symmetry) - Exercise 30

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सेलिना Mathematics [English] Class 6
अध्याय 30 Revision Exercise Symmetry (Including Constructions on Symmetry)
Exercise 30 | Q 7.1

संबंधित प्रश्न

Complete the following table:

Point Reflection in
x-axis y-axis origin
(i) (8, 2)      
(ii) (5, 6)      
(iii) (4, −5)      
(iv) (6, −2)      
(v) (−3, 7)      
(vi) (−4, 5)      
(vii) (−2, −7)      
(viii) (−6, −3)      
(ix) (4, 0)      
(x) (−7, 0)      
(xi) (0, −6)      
(xii) (0, 7)      
(xiii) (0, 0)      

Mark points A (– 6, 5) and B (– 4, – 6) on a graph paper. Find A’, the image of A in origin and B’, the image of B in origin. Mark A’ and B’ also on the same graph paper. Join AB and A’ B’. Is AB = A’ B’?


Examine the following figure carefully, draw line(s) of symmetry in whichever figure possible:


For each letter of the English alphabet, draw the maximum possible number of lines of symmetry.


For the shaded portion given below, draw all the possible lines of symmetry:


Will this fan also look the same after the `1/4` turn? Draw in the yellow box

  


If a line segment of length 5 cm is reflected in a line of symmetry (mirror), then its reflection (image) is a ______ of length _______.


Copy the following drawing on squared paper. Complete such that the resulting figure has two dotted lines as two lines of symmetry.

How did you go about completing the picture?


In each figure alongside, a letter of the alphabet is shown along with a vertical line. Take the mirror image of the letter in the given line. Find which letters look the same after reflection (i.e. which letters look the same in the image) and which do not. Can you guess why?

Try for O E M N P H L T S V X


Mirror reflection leads to symmetry always.


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