CBSE 9 Math · U4

Geometry

CBSE Class 9 Mathematics Unit IV: Euclid's geometry, axioms and postulates, lines and angles, triangle congruence, quadrilaterals, midpoint theorem, circle theorems, and construction-based reasoning.

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A focused, distraction-free run through 75 multiple-choice questions. Hints if you need them; your score at the end.

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Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Topic 4.1

Euclid's Geometry

History of geometry, undefined terms, axioms, postulates, and simple construction reasoning.

Topic 4.2

Lines and Angles

Rays, angle types, intersecting lines, linear pairs, vertically opposite angles, and angles with parallel lines.

Topic 4.3

Triangles and Congruence

Triangle rigidity, congruence, correspondence, SAS, SSS, ASA, RHS, isosceles triangles, converse statements, and triangle inequalities.

Topic 4.4

Quadrilaterals

4-gons, parallelogram properties, midpoint theorem, central symmetry, and simple coordinate applications.

Topic 4.5

Circles

Circle terminology, chords, diameter, distance of chords from the centre, subtended angles, angles in the same segment, semicircles, and cyclic quadrilaterals.

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