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Reflections<br />

Under a reflection:<br />

(a)<br />

(b)<br />

(c)<br />

(d)<br />

a point and its image are equidistant from the mirror line.<br />

the mirror line is a perpendicular bisector of the line joining a point and its image.<br />

points on the mirror line are invariant.<br />

an object and its image are indirectly congruent.<br />

In the Cartesian plane, a reflection is described by stating the equation of the mirror line.<br />

Example<br />

Triangle PQR is such that P(-2, 1), Q(-3, 3) and R(2, 2) are the vertices. Find the<br />

coordinates of its image under a reflection in the line x = 2.<br />

Solution<br />

When the triangle is reflected on the line x = 2, the coordinates of the image are<br />

P 1(6, 1), Q 1(7, 5) and R 1(2, 2).<br />

R lies on the mirror line and is invariant

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