Calcworkshop

Login
  • Home
  • Reviews
  • Courses
    • Algebra I & II
      • Intro Algebra
      • Solving Equations
      • Exponents
      • Polynomials
      • Factoring
      • Rationals
      • Graphing Linear Equations
      • Systems of Equations
      • Radicals
      • Functions & Statistics
    • Geometry
      • Basic Geometry
      • Reasoning & Proofs
      • Congruent Triangles
      • Quadrilaterals
      • Similarity
      • Triangles & Trig
      • Circles
      • Polygons & Circles
      • Volume & Surface Area
      • Transformations
    • Pre-Calculus
      • Trigonometry
        • Trigonometric Functions
        • Radian Measure
        • Graphing Trig Functions
        • Trig Identities
        • Trig Equations
        • Law of Sines and Cosines
        • Vector Applications
        • Polar Equations
        • Complex Numbers
      • Math Analysis
        • Intro to Math Analysis
        • Functions and Graphs
        • Expos and Logs
        • Polynomial Functions
        • Rational Functions
        • Conic Sections
        • Series & Sequences
    • Calculus 1, 2, & 3
      • Business Calculus
      • Calculus 1
        • PreCalc Review
        • Limits
        • Derivatives
        • Application of Derivatives
        • Integrals
        • Final Exam
      • Calculus 2
        • Integrals
        • Applications of Integrals
        • Diff-EQs
        • Polar Functions
        • Parametric and Vector Functions
        • Sequences and Series
        • Final Exam
      • Calculus 3
        • Vectors and The Geometry of Space
        • Vector Functions
        • Partial Derivatives
        • Multiple Integrals
        • Vector Calculus
        • Final Exam
    • Statistics & Prob
      • Exploring Data
      • Probability
      • Discrete Distribution
      • Continuous Distribution
      • Joint Distribution
      • Confidence Interval
      • Hypothesis Testing
      • Linear Regression
    • Discrete Math
      • Logic
      • Proofs
      • Sets
      • Number Theory
      • Functions
      • Combinatorics
      • Relations
      • Trees & Graphs
    • Linear Algebra
      • Linear Equations
      • Matrix Algebra
      • Determinants
      • Vector Spaces
      • Eigenvalues and Eigenvectors
      • Orthogonality and Least Squares
      • Symmetric Matrices
      • Final Exam
    • Diff-EQs
      • Intro to DiffEqs
      • First Order Differential Equations
      • Second Order Differential Equations
      • Series Solutions
      • Laplace Transform
      • Systems of Differential Equations
      • Final Exam
    • Praxis
  • FAQs
  • About
  • Contact
  • Login
Home » Quadrilaterals

Quadrilaterals for Everyone
A Comprehensive Overview

Master quadrilateral concepts — Develop a strong geometry base — Approach problems with ease and clarity

Classifying Polygons

43 min 19 Examples

  • Introduction to classifying, naming, and determining types of polygons
  • What is a polygon? Including concave vs convex polygons (Examples #1-8)
  • How to name polygons? What are regular polygons? What is a diagonal of a polygon?
  • Name the polygon and identify if it is regular or irregular, convex or concave (Examples #9-14)
  • What are congruent polygons? What is the quadrilateral angle sum theorem? (Examples #15-16)
  • Find the indicated measure given a quadrilateral (Examples #17-19)

Properties of Parallelograms

32 min 21 Examples

  • Introduction to Parallelograms
  • Complete the missing statements for the given parallelogram (Examples #1-8)
  • Use properties of parallelograms to find the missing side and angle measurements (Examples #9-18)
  • Use the parallelogram properties to find the indicated measures (Example #19)
  • Complete the two-column proof for the given parallelograms (Examples #20-21)

How To Prove a Parallelogram

25 min 17 Examples

  • Introduction to Proving Parallelograms
  • How to prove a quadrilateral is a parallelogram? (Examples #1-6)
  • Decide if you are given enough information to prove that the quadrilateral is a parallelogram. (Examples #7-13)
  • Find the value of x in the parallelogram. (Examples #14-15)
  • Complete the two-column proof. (Examples #16-17)

Special Parallelograms

49 min 14 Examples

  • What are special parallelograms?
  • How to classify a rhombus, rectangle, and square?
  • True or False questions: Properties of rectangles, rhombi, and squares (Examples #1-9)
  • Given a rhombus, find the missing angles and sides (Example #10)
  • Given a rectangle, find the indicated angles and sides (Example #11)
  • Given a square, find the missing sides and angles (Example #12)
  • Use the properties of a rectangle to find the unknown angles (Example #13)
  • Use the properties of a rhombus to find the perimeter (Example #14)

Trapezoid Properties

41 min 8 Examples

  • Introduction to trapezoids and kites
  • What are the properties of a trapezoid
  • Use the properties of a trapezoid to find sides, angles, midsegments, or determine if the trapezoid is isosceles (Examples #1-4)
  • Properties of kites (Example #5)
  • Find the kites perimeter (Example #6)
  • Find all angles in a kite (Examples #7-8)

Quadrilateral Properties

37 min 13 Examples

  • Introduction to quadrilaterals
  • Characteristics of a quadrilateral (Examples #1-3)
  • Write as many names as possible for each quadrilateral (Examples #4-6)
  • Give the most specific name for the quadrilateral (Examples #7-12)
  • Determine the name of the polygon given four ordered pairs (Example #13)

Chapter Test

1 hr 34 min 30 Practice Problems

  • Classify the polygon, if possible, by name, convex or concave, or regular (Problem #1)
  • Given a parallelogram, find the indicated values (Problem #2a)
  • Given a parallelogram, find the indicated values (Problem #2b)
  • Decide if the polygon is a parallelogram (Problems #3-9)
  • Find the indicated measure given a rectangle or rhombus (Problems #10-13)
  • Find the indicated measure given a square or a rhombus (Problems #14-15)
  • Identify the quadrilateral (Problems #16-19)
  • Find the indicated measure given a trapezoid (Problems #20-23)
  • Find the indicated measure given a trapezoid or kite (Problems #24-27)
  • Identify the quadrilateral given coordinates (Problem #28)
  • Fill in the blank with always, sometimes or never (Problem #29)
  • Complete the two-column (Problem #30)
Calcworkshop

© 2026 Calcworkshop LLC / Privacy Policy / Terms of Service

  • About
  • Reviews
  • Courses
  • Plans & Pricing