Mathematics
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'.
Reflection
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Answer
(i) Points A(4, 6) and B(1, 2) are plotted on the graph below:
(ii) From graph we get,
The coordinates of point A' = (4, -6).
(iii) From graph we get,
The coordinates of point B' = (7, 2).
(iii) From graph we get,
ABA'B' formed is a kite (or a Quadrilateral).
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Related Questions
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.
The point P(3, 4) is reflected to P' in the x-axis and O' is the image of O(origin) in the line PP'. Find :
(i) the coordinates of P' and O'.
(ii) the length of segments PP' and OO'.
(iii) the perimeter of the quadrilateral POP'O'.
(iv) the geometrical name of the figure POP'O'.
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(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.
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.