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in Mathematics by (84.0k points)

The image of triangle OXY under reflection in the origin, O is the triangle OX1Y1, where  X1(-3,- 4) is the image of  X and Y1, (0, - 5) is the image of Y.

(i) Draw a diagram to represent this information and write down the Co-ordinates of X and Y.

(ii) What kind of figure is the quadrilateral XYX1Y1 ? Give reason for your answer. State, with a reason, whether the figure XYX1Y1 has any lines of symmetry.

(iii) Find the co-ordinates of X2, the image of X under reflection in the origin followed by reflection on the Y-axis.

(iv)  Find the co-ordinates of Y2, the image of Y under reflection on the X-axis followed by reflection in the origin

1 Answer

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Best answer

(i)  X1  → (-3, -4)

X  → (3,4)

Y1   → (0, -5)

Y  →  (0,5)

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