Reflection
ICSE · Class 10 · Mathematics
Complete topic list for Reflection in ICSE Class 10 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
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Cartesian Coordinate System Review
- The cartesian plane is divided by two perpendicular lines: X-axis (horizontal) and Y-axis (vertical)
- These axes intersect at the origin O(0,0) and divide the plane into four quadrants
- Every point P has coordinates (x,y) where x is the abscissa and y is the ordinate
Basic Concept of Reflection
- Reflection creates a mirror image of an object across a line or through a point
- The reflecting line is called the axis of reflection or mirror line
- Distance from object to mirror line equals distance from mirror line to image
Reflection in Coordinate Axes
- Reflection in X-axis: y-coordinate changes sign, x-coordinate remains same
- Reflection in Y-axis: x-coordinate changes sign, y-coordinate remains same
- Points on the axis of reflection are invariant points
Reflection in Lines Parallel to Axes
- Line parallel to X-axis has equation y = a (constant y-value)
- Line parallel to Y-axis has equation x = a (constant x-value)
- Distance from point to line equals distance from line to reflected point
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