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Concept MapUSTET · MathematicsReal content

USTET MathematicsGeometry — Lines, Angles, Polygons, Triangles & CirclesConcept Map

For visual learners attacking the USTET 2026, a Geometry — Lines, Angles, Polygons, Triangles & Circles concept map is usually worth more than ten pages of linear notes. UST builds many Geometry — Lines, Angles, Polygons, Triangles & Circles items around the same handful of relationships — spot them on a map and you recognise them at a glance in the Mathematics paper.

Exam context

On the USTET 2026, the Mathematics subtest carries a "Core section" weight in University of Santo Tomas's pattern. Geometry — Lines, Angles, Polygons, Triangles & Circles lands at position 5th out of 9 in the standard review order. Target score is Competitive overall score, and roughly a meaningful share of items come from Mathematics on a typical USTET paper.

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

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