Geometry

The angle facts and triangle rules that solve the majority of GAT-E geometry questions.

The area and perimeter formulas for the shapes the GAT-E actually uses — plus the circle facts.

Angle sums and the defining properties of squares, rectangles, parallelograms, and regular polygons.

Take fractions of a circle for arc length and sector area, and use the central-vs-inscribed angle rule.

Volume and surface-area formulas for the boxes, cylinders, and cubes the GAT-E uses.

Distance, midpoint, and slope on the xy-plane — three formulas that answer most coordinate questions.

Use proportional sides in similar triangles to find missing lengths — a high-frequency GAT-E figure type.

The equal-angle and supplementary-angle pairs that appear whenever a line crosses two parallels.

Apply the Pythagorean theorem, its famous triples, and the two special-angle ratios to find any missing side.

Break complex figures into simple shapes and add or subtract their areas — the key to shaded-region questions.

Translate, reflect, and rotate figures, and recognise lines of symmetry — what changes and what stays the same.

Match solids to their unfolded nets and count faces, edges, and vertices — spatial-reasoning staples.

Relate a circle to a square or triangle drawn inside or around it using one shared length.