CAT Geometry Syllabus 2025 PDF Download [Important Topics and Weightage]

Overview: CAT geometry syllabus covers fundamental geometric concepts, including lines, angles, triangles, circles, polygons, and three-dimensional figures. Read on to know more details about it!

• Every year, around 3-4 questions were asked from the geometry topic of the QA section.

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• Having a good grasp of the key concepts of the geometry section of the CAT 2025 exam can help you fetch 10-12 marks.

Continue reading to know the detailed CAT geometry syllabus 2025 here!

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Why Geometry Matters for CAT 2025?

Geometry isn't just about memorising formulas; it's about developing spatial reasoning, logical deduction, and problem-solving skills  all essential for acing the CAT. 

Questions from this domain frequently test your ability to visualise, apply theorems, and think critically under pressure. Mastering geometry can significantly boost your overall score and percentile.

CAT Geometry Syllabus 2025: What to Expect?

While the official CAT notification doesn't provide a granular syllabus, analysing past papers reveals a consistent focus on the following core topics:

1. Lines and Angles

Here are the basic concepts you need to understand about lines and angles:

Topic	Subtopics
Basic Concepts	Points, lines, line segments, rays, parallel and perpendicular lines
Angle Properties	Types of angles: acute, obtuse, right, straight, reflex Angle bisectors Vertically opposite angles Complementary and supplementary angles
Properties of Parallel Lines	Transversal lines Corresponding angles Alternate interior and exterior angles Consecutive interior angles

Check: Logical Reasoning Questions for CAT

2. Triangles

Some important topics covered under the triangle section of the CAT geometry syllabus 2025 include:

Topic	Subtopics
Types of Triangles	Based on sides: scalene, isosceles, equilateral Based on angles: acute, obtuse, right-angled
Angle Sum Property	The sum of angles in a triangle is always 180∘
Congruence & Similarity	Congruence Criteria: SSS, SAS, ASA, AAS Similarity Criteria: AAA, SSS, SAS Basic Proportionality Theorem (Thales’ Theorem) and its converse
Area of a Triangle	21×base×height, Heron’s Formula, Trigonometric Area Formula: 21absinc
Special Triangles	Equilateral, Isosceles, and Right-angled triangles – properties and theorems (e.g., Pythagoras' Theorem)
Triangle Elements & Concurrency	Medians, Altitudes, Angle Bisectors, Perpendicular Bisectors – concurrency points: centroid, orthocenter, incenter, circumcenter
Inequalities in a Triangle	Triangle Inequality Theorem: the sum of any two sides > third side The relation between angles and their opposite sides

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3. Quadrilaterals

Here are the topics usually covered in the quadrilaterals section of the CAT geometry syllabus 2025:

Types of Quadrilaterals	Parallelogram, rectangle, square, rhombus, trapezium (trapezoid), kite – definitions and key properties
Area and Perimeter	Formulas for calculating the area and perimeter of various quadrilaterals
Diagonals and Properties	Properties of diagonals – their lengths, how they intersect, and how they divide the quadrilateral into triangles or congruent parts

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4. Circles

The questions are asked from the following topics of the CAT geometry syllabus 2025:

Basic Definitions	Radius, diameter, chord, arc, sector, segment, circumference
Properties of Chords	Equal chords subtend equal angles at the center Perpendicular from the center to a chord bisects the chord
Angles by Arcs	Angle subtended by an arc at the center is double the angle subtended at any point on the remaining part of the circle
Cyclic Quadrilaterals	Properties of quadrilaterals inscribed in a circle
Tangents and Secants	Properties of tangents and secants Relationships with radii and chords
Length Formulas	Formulas involving the lengths of tangents and secant segments

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5. Polygons

Here are the topics covered under the polygons section of the CAT geometry syllabus 2025:

Types of Polygons	Regular and irregular polygons Convex and concave polygons
Angle Properties	Sum of interior angles = (n−2)×180∘ Sum of exterior angles = 360∘
Regular Polygon Properties	All sides are equal All interior angles are equal

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6. Mensuration (2D and 3D)

Perimeter & Area (2D Shapes)	Triangles, quadrilaterals, circles, and other polygons – formulas and applications
Surface Area & Volume (3D Shapes)	Cube, cuboid, cone, cylinder, sphere, hemisphere – formulas and their applications
Coordinate Geometry
Cartesian Coordinate System	Understanding coordinates, x- and y-axes, and the four quadrants
Distance Formula	Formula to calculate the distance between two points: (x2−x1)2+(y2−y1)2
Section Formula	A formula to find the coordinates of a point dividing a line segment in a given ratio
Area of a Triangle	Area using coordinates of vertices: (\frac{1}{2} \left
Slope of a Line	Concept of slope and its relation to parallel and perpendicular lines
Equations of Lines	Various forms: slope-intercept, point-slope, and two-point form
Circles (in Coordinate Geometry)	Equation of a circle: (x−h)2+(y−k)2=r2, where (h, k) is the centre and r is the radius

Read more: CAT Mensuration Questions with Solution

Strategic Approach to Mastering CAT Geometry Syllabus 2025

The CAT aspirants can follow the below-mentioned strategic approach to master the geometry syllabus for CAT exam:

• Start with the fundamental lines, angles, and triangles concepts. Ensure you have a solid grasp of basic definitions and theorems.
• Geometry is highly visual. Draw diagrams for every problem you solve. Practice a variety of issues to develop your intuition and problem-solving skills.
• Understand the underlying theorems and properties rather than just memorising formulas. This will enable you to apply them in different contexts.
• Memorise the formulas for the area and volume of standard 2D and 3D shapes. Practice direct application-based questions.
• This section can be scored if you understand the basic formulas and concepts. Practice applying them to find distances, areas, and equations.
• Analysing past CAT geometry questions will give you insights into the difficulty level, question patterns, and important topics.
• Regular mock tests will help you assess your progress, identify weak areas, and improve your time management skills.
• Aim for a deep understanding of the concepts rather than rote learning. This will help you tackle tricky and unconventional questions.

Read more: CAT 2025 Latest Syllabus

Conclusion

Mastering the geometry syllabus for the CAT exam is crucial for achieving a strong score. By focusing on essential topics like lines, angles, triangles, and circles, you can enhance your problem-solving skills and spatial reasoning. 

With around 3-4 geometry questions typically appearing each year, a solid understanding of these concepts can help you secure valuable marks. Make sure to practice regularly and familiarize yourself with the key formulas and properties. 

With dedication and preparation, you can confidently tackle the geometry section and improve your overall performance in the exam. Good luck!

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