Class 10 ICSE Maths Reflection Important Questions

A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure. The reflected image should have the same shape and size, but the image faces in the opposite direction. In reflection, translation may also occur because of changes in the position. Here, the original image is called pre-image, and its reflection is called the image. The representation of pre-image and image are ABC and A’B’C’, respectively. The reflection transformation may be in reference to the coordinate system (X and Y-axis)

Class 10 ICSE Reflection Important Questions

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Reflection Important Questions
Q.1 The triangle ABC, where A is-(2, 6), B (-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 map triangle ABC onto triangle A"B"C" . Solution
Q2 Points (-5, 0) and (4, 0) are invariant points under reflection in the line L1; points (0, - 6) and (0, 5) are invariant on reflection in the line L2.
(a) Name or write equations for the lines L1 and L2.
(b) Write down the images of P(2, 6) and Q (-8, -3) on reflection in L1. Name the images as P' and Q' respectively.
(c) Write down the images of P and Q on reflection in L1. Name the images as P" and Q" respectively.
(d) State or describe a single transformation that maps Q' onto Q". Solution
Q3 The points P(5, 1) and Q(-2, -2) are reflected in line x = 2. Use graph paper to find the images P' and Q' of points P and Q respectively in line x = 2. Take 2 cm equal to 2 units. Solution
Q4 Use a graph paper for this question. (Take two divisions = 1 unit on both the axes). Plot the points P (3, 2) and Q (-3, -2). From P and Q, draw perpendiculars PM and QN on the x-axis.
(a) Write the co-ordinates of points M and N.
(b) Name the image of P on reflection in the origin.
(c) Assign the special name to geometrical figure PMQN and find its area.
(d) Write the co-ordinates of the point to which M is mapped on reflection in :
(i) x-axis,
(ii) y-axis,
(iii) origin. Solution
Q5 Points A and B have co-ordinates (3, 4) and (0, 2) respectively. Find the image :
(a) A' of A under reflection in the x-axis.
(b) B' of B under reflection in the line AA'.
(c) A" of A under reflection in the y-axis.
(d) B" of B under reflection in the line AA". Solution

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