Follow a rotation around a stated center and check what stays unchanged.
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First lesson in this subject: Complete the angle sum
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A translation slides every point by the same vector. A reflection flips a figure across a line. A rotation turns every point through the same angle around a fixed center. These three moves preserve lengths and angles.
For a 90° counterclockwise rotation around the origin O, (x, y) becomes (−y, x). The point A(2, 1) becomes A′(−1, 2). The solid triangle shows the new position; the dashed triangle shows the original.
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First lesson in this subject: Complete the angle sum
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Practice · Translate, reflect, rotate and scale figures. Explore what changes and what stays the same.
Book · Explore measurements, transformations, coordinates and geometric relationships through diagrams and worked examples.
Previous lesson · Use coordinates, signs and identities to compare trigonometric expressions beyond a right triangle.
Next lesson · Separate distance from midpoint by using differences for length and averages for location.
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