Symmetry (Including Reflection and Rotation) — Important Questions
ICSE · Class 8 · Mathematics
47 important questions from Symmetry (Including Reflection and Rotation) for ICSE Class 8 Mathematics, with answers.
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Important Questions from Symmetry (Including Reflection and Rotation)
Point T(5, 4) is rotated 90° clockwise about the origin and then reflected in the x-axis. What is the final image?
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(4, 5)
Step 1: Rotation 90° clockwise changes (x, y) to (y, -x). So (5, 4) becomes (4, -5). Step 2: Reflection in the x-axis changes the sign of y. So (4, -5) becomes (4, 5).
A point U(-7, 1) is reflected in the x-axis, then in the origin, and then in the y-axis. What is the final image?
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(-7, 1)
Step 1: Reflection in the x-axis gives (-7, -1). Step 2: Reflection in the origin gives (7, 1). Step 3: Reflection in the y-axis gives (-7, 1).
Point X(0, 8) is rotated 90° clockwise about the origin and then reflected in the origin. What is the final image?
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(-8, 0)
Step 1: Rotation 90° clockwise changes (x, y) to (y, -x). So (0, 8) becomes (8, 0). Step 2: Reflection in the origin changes both signs, so (8, 0) becomes (-8, 0).
Point C(9, -4) is rotated 180° about the origin and then reflected in the y-axis. What is the final image?
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(9, 4)
Step 1: Rotation 180° about the origin gives (-9, 4). Step 2: Reflection in the y-axis changes the sign of x, so (-9, 4) becomes (9, 4).
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