Reflection
ICSE · Class 10 · Mathematics
Practice quiz for Reflection — ICSE Class 10 Mathematics. MCQs and questions with answers to test your preparation.
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What is the reflection of the point (3, -2) across the x-axis?
Find the reflection of the point (-4, 5) across the y-axis.
What is the reflection of the point (2, 3) in the origin?
Find the reflection of point (1, 4) in the line y = 2.
Sample Questions
Which of the following are invariant points when reflecting across the x-axis?
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(0, 0), (5, 0), (-2, 0)
Invariant points on x-axis reflection are points that lie on the x-axis itself (y = 0). These points don't change when reflected. Points with y = 0 remain unchanged.
What is the reflection of point (-3, 1) in the line x = 1?
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(5, 1)
For reflection in line x = a, use formula (x, y) → (-x + 2a, y). Here a = 1, so (-3, 1) → (-(-3) + 2×1, 1) = (3 + 2, 1) = (5, 1)
Which transformations change both coordinates of a point?
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Reflection in origin, Reflection in line y = x
Reflection in origin changes both coordinates: (x, y) → (-x, -y). Reflection in line y = x swaps coordinates: (x, y) → (y, x). Other reflections change only one coordinate.
If point A(2, -5) is reflected in the x-axis to get A', what are the coordinates of A'?
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(2, 5)
Reflection in x-axis keeps x-coordinate same and changes sign of y-coordinate. So A(2, -5) → A'(2, 5). The y-coordinate changes from -5 to 5.
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