Mathematics
The triangle OAB is reflected in the origin O to triangle triangle OA'B'. A' and B' have coordinates (-3, -4) and (0, -5) respectively.
(i) Find the coordinates of A and B.
(ii) Draw a diagram to represent the given information.
(iii) What kind of figure is the quadrilateral ABA'B'?
(iv) Find the coordinates of A'', the reflection of A in the origin followed by reflection in the y-axis.
(v) Find the coordinates of B'', the reflection of B in the x-axis followed by the reflection in the origin.
Reflection
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Answer
The graph showing the given information is drawn below:
(i) Since, on reflection in the origin A becomes A'(-3, -4) and B becomes B'(0, -5) thus,
A = (3, 4) and B = (0, 5).
(iii) The quadrilateral ABA'B' represents a rectangle.
(iv) From graph we get,
The coordinates of A" is (3, -4).
(v) From graph we get,
The coordinates of B" is (0, 5).
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