Mathematics
Using a graph paper, plot the points A(6, 4) and B(0, 4).
(i) Reflect A and B in the origin to get images A' and B'.
(ii) Write the coordinates of A' and B'.
(iii) State the geometrical name for the figure ABA'B'.
(iv) Find its perimeter.
Reflection
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Answer
(i) A' and B' are plotted on the graph below:
(ii) From graph we get,
The coordinates of A' and B' are (-6, -4) and (0, -4) respectively.
(iii) From graph we get,
ABA'B' formed is a parallelogram.
(iv) From graph we get,
By pythagoras theorem,
Perimeter = Sum of all sides = AB' + B'A' + A'B + BA = 10 + 6 + 6 + 10 = 32 units.
Hence, the perimeter of the parallelogram is 32 units.
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Related Questions
Use a graph sheet for this question. Take 1cm = 1 unit along both x and y-axes.
(i) Plot the points : A(0, 5), B(3, 0), C(1, 0) and D(1, -5).
(ii) Reflect the points B, C and D on the y-axis and name them as B', C' and D' respectively.
(iii) Write down the coordinates of B', C' and D'.
(iv) Join the points A, B, C, D, D', C', B', A in order and give a name to the closed figure ABCDD'C'B'.
Use graph paper for this question.
(i) The point P(2, -4) is reflected about the line x = 0 to get the image Q. Find the coordinates of Q.
(ii) Point Q is reflected about the line y = 0 to get the image R. Find the coordinates of R.
(iii) Name the figure PQR.
(iv) Find the area of the figure PQR.
Use graph paper to solve this question.
(i) Plot the points A(4, 6) and B(1, 2).
(ii) If A' is the image of A when reflected in the x-axis, write the coordinates of A'.
(iii) If B' is the image of B when reflected in the line AA', write the coordinates of B'.
(iv) Give the geometrical name for the figure ABA'B'.
The points A(2, 3), B(4, 5) and C(7, 2) are the vertices of △ABC.
(i) Write down the coordinates of A1, B1, C1 if △A1B1C1 is the image of △ABC when reflected in the origin.
(ii) Write down the coordinates of A2, B2, C2 if △A2B2C2 is the image of △ABC when reflected in the x-axis.
(iii) Assign the special name to quadrilateral BCC2B2 and find its area.