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Geometry

Get Ahead with Geometry And Math AP Tutoring Courses for Sugar Land, TX

For improved results in your student’s comprehension of geometry, choose IQ Learning for private tutors throughout the Sugar Land, TX. At IQ learning, our math courses are designed to provide students with the core skills they will need to succeed both in high school math, as well as at the college level.
From understanding basic theorems to calculating the sums of angles, our geometry program is geared towards developing your child’s problem solving and critical thinking skills to help them excel in their education.
Read more about our geometry curriculum, or contact us for more information on our middle school tutoring  services today.
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Proofs In Algebra

Logic
  • Introduction
  • Sentence Negations, Conjunctions, Disjunctions
  • Conditionals
  • Inverse, Converse, Contrapositive 
  • Bi-conditionals
  • Drawing Conclusions
  •  Sets, Subsets, Set operations
  • AlModus Tollens, Law of Chain Rule, Tautology, Syllogism
  • Symbolic Logic Proofs
  • Error Analysis
  •  Logic Puzzles
Points, Lines, Planes and Angles 
  • Collinear and non-collinear, Coplanar and
    ​non-Coplanar
  • Segments, Rays and Distances
  • Mid-points, Distance measures and Absolute Values on number lines
  • Ruler Postulate, Segment Addition Postulate
  • ​Congruent Segments, Midpoint and bisector of a segment
  • Protractor and Angle Addition Postulate
  • Overlapping Segments and Angles
  • Constructions
    • 30
  • Congruent, and Adjacent Angles; Bisectors of Angles
  • Proving Angles Congruent
  • Postulates and Theorems relating Points, Lines, and Planes
Parallel lines, skew lines and Parallel Planes 
  • Theorems on Properties of parallel Lines
  • Writing Proofs on Parallel lines
  • Proving Lines Parallel; Theorems, Postulates and Proofs
  • Drawing Parallel Conclusions
  • Algebra of Parallel and perpendicular lines
  • Construction of Angle and Perpendicular Bisectors
Triangles 
  • Applying Parallel lines properties to prove “Sum of Angles in a Triangle” theories
  • Definitions of Vertex, Mid-points, Bisectors, Angle bisectors, Exterior and Interior Angles in triangles
  • Different types of Triangle: Isosceles, Equilateral, Scalene and algebra of their sides and angles
  • Bisectors, Medians and Altitudes in Triangles
Algebra of Straight Lines and Circles 
  • Equations of Straight Lines
  • Slopes of Parallel and Perpendicular Lines
  • Verifying Parallelism and Perpendicularity
  • Writing Equations of Parallel and Perpendicular lines
  • Equations of Circles: Standard form, Completing the Squares
Transformations
  • Translations, Rotations, Reflections and their Compositions in rigid systems
  • Equations of Lines after translation and reflection
  • Congruent Transformations (Isometry)
  • Dilations
  • Symmetry in figures
Polygons 
  • Interior and Exterior Angles in Regular Polygons
  • Applying Parallel lines to Polygons
  • Similar Polygons
  • Ratio and Proportions
  • Algebraic Properties of Proportions
  • Similarity in polygons based on ratio-proportion properties
Similarity in Triangles 
  • AA Similarity Postulate
  • Theorems for Similar Triangles: SAS, SSS,
  • Proportionality Theorem and Angle bisector Theorem in Triangles
  • Proving Triangles Similar
  • Basic Review of radical operations
  • Similarity in Right Triangles and Geometric
    Means
  • Pythagorean Theorem and its Converse
  • Basic 3-D Geometry
  • Pythagorean in 3-d
  • Special Right Triangles
  • Basic Trigonometric functions from Right
    ​Triangles
Inequalities in one and two triangles
  • Algebraic properties of Inequalities
  • Exterior Angle Inequality Theorem
  • Proving Angle Inequalities in one Triangle
  • Inequalities in two Triangles
Applications of Basic Trigonometric Functions 
  • Angles of Elevation and Depression
  • Word Problems based on Angles of Elevation and Depression
Congruency
  • Congruency in Polygons: Corresponding Parts in Congruent Figures
    • Proving Triangles Congruent:
    • Postulates:
      • SSS, SAS, and ASA Postulates
    • Theorems:
      • General Triangle – AAS
      • Right Angled Triangle - HA , LA and LL
  • Using Congruency to define relationships among triangles
  • Congruencies in Right Angled Triangles
  • Congruencies in multiple overlapping Triangles
  • Isosceles Triangle Theorem
  • Perpendicular Bisector Theorem and its Converse for Triangles
  • Angle Bisector Theorem and its Converse for Triangles
  • Proving Properties of Medians from Triangle Congruencies
  • Congruencies
Circles 
  • Center, Radius, Tangent, Chord, Secant
  • Congruent and Concentric Circles
  • Inscribed and Circumscribed Polygons
  • Tangent Lines Theorems
  • Proving Lines are tangent to Circles
  • Tangent and Secant lines Theorems
  • Tangent Circles, Internal and External Tangencies
  • Proving Geometrical Properties based on tangency of Circles
  • Arcs of Circles: Minor and Major Arcs
  • Congruent Arc Theorems
  • Proving Properties based on Congruent Arcs, Tangent Lines and Secant lines
  • Theorems on Arcs and Chords
  • Proving Congruencies of Arcs and Chords
  • Central and Inscribed Angles, Intercepted Arcs, and Theorems based on them
  • Intersecting Chords and related Theorems
Areas and Volumes 
  • Areas of Plane Figures
  • Areas and Volumes of Solids
Contact IQ Learning today for Algebra, Geometry and Math AP Tutoring!