Reflection
ICSE · Class 10 · Mathematics
Summary of Reflection for ICSE Class 10 Mathematics. Key concepts, important points, and chapter overview.
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Reflection in coordinate geometry describes the position of an image formed on the other side of a mirror line. The chapter uses the cartesian plane to study reflection in the X-axis, Y-axis, lines parallel to the axes, and the origin. The main ideas are the coordinate system, axis of reflection, in
Key Concepts
X'OX and YOY are two mutually
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-
For a point P
For a point P, OA is the X-coordinate, called the abscissa, and AP is the Y-coordinate, called the ordinate. A point has coordinates (x,y). A point on
When an object is seen
When an object is seen in a mirror, its image is obtained on the other side of the mirror, called its reflection. The mirror line is called the axis o
A point is an invariant point
A point is an invariant point with respect to a given line if and only if it lies on that line. Such a point does not change after reflection.
For a point P(x
For a point P(x,y), reflection in the X-axis gives P' = (x,-y). Only the sign of the ordinate changes. The formula is Mx(x,y) = (x,-y).
Learning Objectives
- Understand the cartesian system of coordinates and the meaning of abscissa and ordinate.
- Identify the X-axis, Y-axis, coordinate axes, and origin.
- Understand reflection as image formation across a mirror line.
- Find reflections of points in the X-axis, Y-axis, lines parallel to the axes, and the origin.
- Use the formulas Mx(x,y) = (x,-y), My(x,y) = (-x,y), and M0(x,y) = (-x,-y).
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