Symmetry
ICSE · Class 7 · Mathematics
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Quick Quiz: Symmetry
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A point P has coordinates (5, 4). It is reflected in the x-axis and then the image is reflected in the y-axis. What are the coordinates of the final image?
A point Q has coordinates (-8, 5). It is reflected in the origin and then the image is reflected in the x-axis. What are the coordinates of the final image?
A square is rotated through 90 degrees, 180 degrees, 270 degrees, and 360 degrees clockwise. How many times does it fit onto itself during one complete rotation?
An equilateral triangle is rotated 120 degrees clockwise. Which anticlockwise rotation gives the same result?
Sample Questions
A triangle is rotated about vertex A by 60 degrees clockwise. What stays the same in the original triangle and the rotated triangle?
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The shapes are the same, The sizes are the same, Corresponding sides are equal
After a rotation, the figure keeps the same shape and size. For the triangle rotated about vertex A, corresponding sides and angles remain equal. The number of sides does not change.
A point R is at (0, 0). It is reflected in the x-axis, then in the y-axis, and then in the origin. What are the coordinates after all three reflections?
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(0, 0)
The point (0, 0) remains (0, 0) under reflection in the x-axis, y-axis, and origin. So after all three reflections, it is still (0, 0).
A triangle ABC is rotated about vertex A. Which statements about the rotated triangle are correct?
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AB equals AB prime, AC equals AC prime, Corresponding angles remain equal
In a rotation, the figure keeps the same shape and size. For a rotated triangle about vertex A, corresponding sides and angles stay equal.
A square and an equilateral triangle are compared for rotational symmetry. Which statements are correct?
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The square has order 4 rotational symmetry, The equilateral triangle has order 3 rotational symmetry, A square fits onto itself four times in one complete rotation
A square matches itself 4 times in one complete rotation, so its order is 4. An equilateral triangle matches itself 3 times, so its order is 3.
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