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Essential theorems, similarity rules, cyclic quadrilaterals, coordinate geometry, and 3D solids mensuration equations.
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Relates the lengths of triangle sides to the median AD bisecting side BC into BD and DC.
In triangle ABC, if AD bisects angle A meeting BC at D, it divides opposite side BC in ratio of adjacent sides.
Opposite angles in a cyclic quadrilateral sum to 180 degrees (\angle A + \angle C = 180^\circ).
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Ratio of areas of similar triangles equals the square of the ratio of their corresponding sides or heights.
Alternate Segment Theorem, Intersecting Chords (PA · PB = PC · PD), and Tangent-Secant Theorem (PT² = PA · PB).
Volume of frustum = (1/3)πh(R² + r² + Rr). Surface area ratios under geometric scaling.
Similarity of Triangles, Angle Bisector Theorem, Tangent-Secant Theorem in Circles, and Apollonius Theorem for medians are the most tested geometric concepts in CAT.
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