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a) On the grid below, plot the points A(2, 5), B(2, 6), C(4, 8), D(6, 6), and E(5, 5). Join the points to form polygon ABCDE.
b) Reflect polygon ABCDE in the oblique line through the points (0, 0) and (8, 8). Draw the reflection image.
c) Write the coordinates of the larger shape formed by ABCDE and its image.
d) Describe the larger shape and its symmetry.

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Q1
a) On the grid below, plot the points A(2, 5), B(2, 6), C(4, 8), D(6, 6), and E(5, 5). Join the points to form polygon ABCDE.
b) Reflect polygon ABCDE in the oblique line through the points (0, 0) and (8, 8). Draw the reflection image.
c) Write the coordinates of the larger shape formed by ABCDE and its image.
d) Describe the larger shape and its symmetry.
428281.PNG
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Q2
This polygon is one-half of a shape. Use a vertical line through 5 on the x-axis as a line of symmetry to complete the shape by drawing its other half. Write the coordinates of the larger shape formed by PQRS and its image.
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Q3

The point (-2, 0) on reflection in a line is mapped to (2, 0) and the point (5, -6) on reflection in the same line is mapped to (-5, -6).

(i) State the name of the mirror line and write its equation.

(ii) State the co-ordinates of the image of (-8, -5) in the mirror line.

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Q4

Triangle ADC is formed by joining the coordinates A(2,6), C(4,0) and D(0,0). Another Δ BCD is formed by joining the coordinates B(6,6), C(4,0) and D(0,0). Line y=6 and y=0 is parallel to each other. The points C(4,0) and D(0,0) lies on y = 0. The points A(2,6) and B(6,6) lies on line y=6. ABCD forms a quadrilateral. Which of the following is correct?


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Q5
Find a transformation of the polygon that does result in at least one type of symmetry. Draw the image and list the coordinates of the vertices of the larger shape. How do you know the diagram has symmetry?
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