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Question
The points P (4, 1) and Q (–2, 4) are reflected in line y = 3. Find the co-ordinates of P’, the image of P and Q’, the image of Q.
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Solution
Co-ordinates of P and Q are (4, 1) and (–2, 4) respectively.
∴ The co-ordinates of image of P which is P' are (4, 5) reflection in the line y = 3 and co-ordinates of image of Q when is Q' are (–2, 2) reflection is the line y = 3 as shown in the graph.
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Use graph paper for this question.
(Take 2 cm = 1 unit along both x-axis and y-axis.)
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- State the line of symmetry of this figure.
Use a graph paper for this question.
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- Plot the following points: A(0, 4), B(2, 3), C(1, 1) and D(2, 0).
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- Join the points A, B, C, D, D', C', B' and A in order, so as to form a closed figure. Write down the equation to the line about which if this closed figure obtained is folded, the two parts of the figure exactly coincide.
Points (3, 0) and (−1, 0) are invarient points under reflection in the line L1; point (0, −3) and (0, 1) are invarient points on reflection in line L2.
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- Write down the images of points P(3, 4) and Q(−5, −2) on reflection in L1. Name the images as P' and Q' respectively.
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