Geometry



Geometry Calculator. Geometry Worksheets (with keys) Angles. Circles (formulas, rules and theorems) Polygons. Geometry is the fourth math course in high school and will guide you through among other things points, lines, planes, angles, parallel lines, triangles, similarity, trigonometry, quadrilaterals, transformations, circles and area. This Geometry math course is divided into 10 chapters and each chapter is divided into several lessons.

Geometry is all about shapes and their properties.

The Geometry course builds on Algebra 1 by extending students’ ability to see geometric relationships and to see how those geometric relationships are often alternate representations of the relationships they studied in the previous year. Geometry worksheets are great learning tools for kids in preschool through high school! Students at different ages learn geometry in different ways. Here are some of the different ways that kids learn geometry by grade: Young children and students in early elementary school grades learn about shapes by sight and name only.

If you like playing with objects, or like drawing, then geometry is for you!

Geometry can be divided into:


Plane Geometry is about flat shapes like lines, circles and triangles ... shapes that can be drawn on a piece of paper


Solid Geometry is about three dimensional objects like cubes, prisms, cylinders and spheres.

Hint: Try drawing some of the shapes and angles as you learn ... it helps.

Point, Line, Plane and Solid

A Point has no dimensions, only position
A Line is one-dimensional
A Plane is two dimensional (2D)
A Solid is three-dimensional (3D)

Why?

Why do we do Geometry? To discover patterns, find areas, volumes, lengths and angles, and better understand the world around us.

Plane Geometry

Plane Geometry is all about shapes on a flat surface (like on an endless piece of paper).

  • Rectangle, Rhombus, Square, Parallelogram, Trapezoid and Kite



  • Square Calculator and Rectangle Calculator

Polygons

A Polygon is a 2-dimensional shape made of straight lines. Triangles and Rectangles are polygons.

Here are some more:

Pentagon
Hexagon

The Circle

Circle Theorems (Advanced Topic)

Symbols

Geometry

There are many special symbols used in Geometry. Here is a short reference for you:

Congruent and Similar

Angles

Types of Angles

Acute AnglesRight AnglesObtuse AnglesStraight AngleReflex AnglesFull Rotation





Using Drafting Tools

Transformations and Symmetry

Transformations:

  • Rotation
  • Reflection
  • Translation

Symmetry:

Geometry
Geometry dash online

Coordinates

More Advanced Topics in Plane Geometry

Pythagoras

Conic Sections

Circle Theorems

Geometry Dash Lite

Geometry

Trigonometry

Trigonometry is a special subject of its own, so you might like to visit:

Geometry Dash Unblocked

Solid Geometry

Solid Geometry is the geometry of three-dimensional space - the kind of space we live in ...

... let us start with some of the simplest shapes:

Geometry

Polyhedra and Non-Polyhedra

There are two main types of solids, 'Polyhedra', and 'Non-Polyhedra':

Polyhedra(they must have flat faces):

Cubes and
Cuboids (Volume
of a Cuboid)
Platonic Solids
Prisms
Pyramids

Non-Polyhedra(when any surface is not flat):

SphereTorus
CylinderCone

The Geometry course builds on Algebra 1 by extending students’ ability to see geometric relationships and to see how those geometric relationships are often alternate representations of the relationships they studied in the previous year. Students develop an approach to analyzing geometric relationships and explaining their reasoning logically and precisely, eventually leading to proof (informal and formal).

The major concepts identified for the geometry course are congruence, similarity, right triangles, trigonometry, using coordinates to prove simple geometric theorems algebraically, and applying geometric concepts in modeling situations. The figures that are used to communicate around these relationships and representations build from the notions of point and line into polygons and circles.

Geometry Dash Unblocked

The process of articulating sound and precise reasoning is threaded throughout the geometry course. Therefore, reasoning and sense making should be a regular part of instruction, with or without formal proof writing. Integration of the Common Core Standards for Mathematical Practice will be critical for students understanding of how to approach Geometry. Through “practicing” reasoning, students will be progressing toward expressing course-level appropriate geometric thinking by constructing viable arguments, critiquing the reasoning of others and attending to precision when making mathematical statements.

Additional ResourcesSee 3 resourcesHide 3 resources

Here are a few useful resources that support the Geometry course. Please visit the resource search page to find more!

Geometry Formulas

  • Quiz Banker creates student-ready editable quiz and answer documents based on an item bank of over 2500 state exam questions.
    Geometry Test & Quiz Generator

    Quiz Banker creates student-ready editable quiz and answer documents based on an item bank of over 2500 state exam questions.

    Quiz Banker supports New York State secondary teachers in generating quizzes based on past Regents exam items. By drawing on bank of items in Google Docs, this Quiz Banker allows teachers more time for the critical tasks of identifying and analyzing student learning needs and planning responsive day-to-day lessons. Teachers can sort and filter questions by Common Core domain, cluster, and standard to make it easier to understand what the Common Core standards mean. Each question is also aligned to New Visions’ free and open source curriculum, making it even easier for teachers to plan in response to evidence of learning. At present the tool current has items for 3 New York State secondary math courses and 2 New York State secondary science courses.

    Teacher Feedback

    Please comment below with questions, feedback, suggestions, or descriptions of your experience using this resource with students.

  • This is a description of common understandings and misunderstandings students have in Geometry. This could be a useful read for Geometry teachers before planning a unit.
    Common Misconceptions in Geometry

    This is a description of common understandings and misunderstandings students have in Geometry. This could be a useful read for Geometry teachers before planning a unit.

    Teacher Feedback

    Please comment below with questions, feedback, suggestions, or descriptions of your experience using this resource with students.

  • This is a free program for doing geometry, algebra, and much more. It runs on basically any platform and has amazing functionality. It also comes with a companion website with over 100,000 activities shared.
    Geogebra - Geometry + Algebra + Wow!

    This is a free program for doing geometry, algebra, and much more. It runs on basically any platform and has amazing functionality. It also comes with a companion website with over 100,000 activities shared.

    Teacher Feedback

    Please comment below with questions, feedback, suggestions, or descriptions of your experience using this resource with students.