GMAT Quant Geometry Syllabus

GMAT test is intended to evaluate your critical thinking skills, the capability to interpret the problem and solving it. If you’re a prospective GMAT aspirant then you must be aware of the four subsections of the GMAT quant – Algebra, Geometry, Arithmetic or Word problems. In GMAT test, the Geometry section deals with the question related to mensuration, diagrams accompanying questions. In the test approximately 4-6 out of 37 questions can be expected from Geometry.  GMAT Geometry syllabus is as follows.

GMAT Geometry Syllabus

Angles
Area
Circles
Coordinate Geometry
Lines
Perimeter
Special Right Triangles
Pythagorean Theorem
Quadrilaterals
Polygons
Triangles
Volume

Angles
Basic Concepts – Angle, Ray, Axiom, Special angles like Complementary Angles, Supplementary Angles, Adjacent Angles. Angle Bisector, Vertical Angles, Alternate Interior Angles, Alternate Exterior Angles, Angle addition property
Types of Angles – Acute angle, Right angle, Obtuse angle, Straight angle, Reflex Angle & Full Rotation angle. Concepts like Positive and Negative Angles. Intersecting Lines, Parallel Lines Cut by a Transversal, and Sum of Angles.
Area
Area of a Square, Rectangle, Parallelogram, Triangle, Regular n-Polygon, Trapezoid, Circle, Ellipse, Cube (surface), Sphere (surface), Cylinder (surface of side), Cylinder (whole surface), Cone (surface), Torus (surface).
Circles
Basic Concepts – Circle, Circumference, Radius, Diameter, Chord, Central Angle, Arc, Sector of a Circle, Center of a Circle, Circumscribed Circle, Inscribed Circle, Concentric Circles
Properties of a Circle – Inscribed Angle & Central Angle, Inscribed Triangle, Inscribed Circles & Circumscribed Circles, Formulas for Circles – Area, Diameter, Circumference, Central Angle, Area of Sector, Length of an Arc.
Coordinate Geometry
Cartesian Coordinate System, Quadrants, Slope and its categories – Positive Slope, Negative Slope, Slope of Zero & Undefined Slope. Writing the Equation of a Line, Axis Intercepts, Distance Between Points in a Graph – Formula
Lines
Basic concepts like Lines and Line Segment, Parallel & Perpendicular Lines. Intersecting Lines and Angle formed by the intersect – Vertical & Supplementary Angles.
Perimeter
Perimeter of a Triangle, Square, Rectangle, Parallelogram, Rhombus, Trapezoid, Circle (Circumference)
Special Right Triangles
Bisected Equilateral Triangle or 30°-60°-90° Right Triangle, Isosceles Right Triangle or 45°-45°-90° Triangle, The Pythagorean Theorem and Triplets.
Quadrilaterals
Area and Perimeter of Basic Quadrilaterals – Square, Rectangle, Parallelogram, Rhombus, Trapezium, Isosceles Trapezium, Kite.
Polygons
Angle Rules for Polygons. Regular Polygons – Equilateral Triangle, Square, Regular Pentagon, Hexagon, Heptagon, Octagon, Nonagon, Decagon
Triangles
Properties of All Triangles – Sum of Angles is 180, Triangle Inequality Theorem, Longest Side Opposite Largest Angle; Exterior Angle Theorem; Types of Triangles; Similar Triangles; When Are Triangles Similar? Properties of; Similar Triangles; Congruent Triangles; When Are Triangles Congruent?; Properties of Congruent Triangles; Area of a Triangle
Volume
Volume and Surface Area of all major Geometrical Shapes – Cube, Rectangular Prism, Sphere, Ellipsoid, Cylinder, Cone, Pyramid, Torus

To ace Geometry questions, it is essential to memorise the formulae and must be capable to estimate its application for easy solving the questions.  

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