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
Special Right Triangles
|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 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).|
|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.|
|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|
|Basic concepts like Lines and Line Segment, Parallel & Perpendicular Lines. Intersecting Lines and Angle formed by the intersect – Vertical & Supplementary Angles.|
|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.|
|Area and Perimeter of Basic Quadrilaterals – Square, Rectangle, Parallelogram, Rhombus, Trapezium, Isosceles Trapezium, Kite.|
|Angle Rules for Polygons. Regular Polygons – Equilateral Triangle, Square, Regular Pentagon, Hexagon, Heptagon, Octagon, Nonagon, Decagon|
|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 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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