FEUCAT Mathematics — Geometry — Lines, Angles, Polygons, Triangles & CirclesConcept Map
FEUCAT candidates who build concept maps early in review tend to retain Geometry — Lines, Angles, Polygons, Triangles & Circles better through the long stretch to exam day. The Geometry — Lines, Angles, Polygons, Triangles & Circles concept map on this page shows the sub-topics Far Eastern University includes most often in FEUCAT Mathematics, and how they branch off the central idea.
Exam context
For the Far Eastern University College Admission Test, Far Eastern University tests Mathematics under a "Core section" label, with Geometry — Lines, Angles, Polygons, Triangles & Circles in the 5th slot across 9 chapters. FEUCAT candidates must clear the Competitive overall score cut on the 2026 paper, which draws about a meaningful share of Mathematics questions. Date to watch: Q3–Q4 2026.
Geometry — Lines, Angles, Polygons, Triangles & Circles - Concept map
Central Concept
Geometry fundamentals including measurement, properties, and relationships of geometric shapes
Related Concepts
Concept
Lines and Line Segments
Sub Concepts
- Points
- Line segments
- Rays
- Parallel lines
- Perpendicular lines
- Intersecting lines
- Transversals
Relationship To Central
Basic building blocks that form all geometric shapes
Concept
Angles
Sub Concepts
- Acute angles
- Right angles
- Obtuse angles
- Straight angles
- Complementary angles
- Supplementary angles
- Vertical angles
- Linear pairs
Relationship To Central
Formed by intersection of lines, fundamental to shape properties
Concept
Polygons
Sub Concepts
- Triangle
- Quadrilateral
- Pentagon
- Hexagon
- Regular polygons
- Irregular polygons
- Convex polygons
- Concave polygons
- Interior angles
- Exterior angles
- Diagonals
Relationship To Central
Multi-sided closed figures with specific properties and formulas
Concept
Triangles
Sub Concepts
- Equilateral
- Isosceles
- Scalene
- Right triangle
- Acute triangle
- Obtuse triangle
- Pythagorean theorem
- Triangle inequality
- Congruent triangles
- Similar triangles
- Special right triangles
Relationship To Central
Three-sided polygons with unique properties and classification systems
Concept
Circles
Sub Concepts
- Radius
- Diameter
- Chord
- Arc
- Sector
- Central angle
- Inscribed angle
- Tangent
- Secant
- Circumference
- Area
Relationship To Central
Curved figures with unique properties involving radius, diameter, and arcs
Concept
Measurement Formulas
Sub Concepts
- Perimeter formulas
- Area formulas
- Surface area formulas
- Volume formulas
- Circumference formula
Relationship To Central
Mathematical expressions for calculating perimeter, area, and volume
Concept Connections
To
Angles
From
Lines and Line Segments
Strength
strong
Relationship
Intersecting lines form angles
To
Polygons
From
Angles
Strength
strong
Relationship
Polygons are formed by angles and their sum determines polygon type
To
Triangles
From
Polygons
Strength
strong
Relationship
Triangle is the simplest polygon and building block of other polygons
To
Circles
From
Lines and Line Segments
Strength
moderate
Relationship
Tangent and secant lines interact with circles
To
Circles
From
Angles
Strength
strong
Relationship
Central and inscribed angles are fundamental circle properties
To
Circles
From
Triangles
Strength
moderate
Relationship
Triangles can be inscribed in or circumscribed about circles
To
Triangles
From
Measurement Formulas
Strength
strong
Relationship
Specific formulas apply to triangle perimeter, area, and special properties
To
Circles
From
Measurement Formulas
Strength
strong
Relationship
Unique formulas for circumference and area of circles
To
Polygons
From
Measurement Formulas
Strength
strong
Relationship
Different formulas apply based on polygon type and regularity
To
Measurement Formulas
From
Lines and Line Segments
Strength
moderate
Relationship
Line properties determine which measurement formulas to use
Previous chapter
Word Problems — Number, Age, Work, Motion, Mixture, Investment
Next chapter
Perimeter, Area, Volume & Equation of a Line
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