Reflection
ICSE · Class 10 · Mathematics
Quick revision notes for Reflection — ICSE Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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1. Cartesian System and Coordinates
- X'OX and YOY are two mutually perpendicular lines that divide the cartesian plane into four quadrants.
- X-axis and Y-axis taken together are called co-ordinate axes.
- The point of intersection of the axes is the origin O.
2. Reflection and Axis of Reflection
- When an object is seen in a mirror, its image is obtained on the other side of the mirror, called its reflection.
- The distance of the image from the mirror is equal to the distance of the object from the mirror.
- The mirror line is perpendicular to the line joining the object and its image.
3. Reflection in a Line Parallel to X-axis
- A line parallel to X-axis has equation y = a.
- The value of a is positive if the line lies above the X-axis and negative if it lies below the X-axis.
- For reflection in line y = a, the x-coordinate stays the same.
4. Reflection in a Line Parallel to Y-axis
- A line parallel to Y-axis has equation x = a.
- The value of a is positive if the line lies to the right of the Y-axis and negative if it lies to the left.
- For reflection in line x = a, the y-coordinate stays the same.
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