Preschool Kindergarten 1st 2nd 3rd 4th 5th. Geometry Worksheets and Printables. Tracing Basic Shapes. Your child's fine motor skills can improve as she carefully traces the circles, squares, triangles and rectangles in this worksheet.

Shape Line Patterns. This worksheet offers preschoolers practice with both patterns and shapes—and prepares them for kindergarten math. Trace and Color Shapes. Here's a worksheet that's packed full of fun fine motor skills practice. Kids trace a variety of shapes, then brighten them up with some color.

Color the Fraction. Kids practice coloring shapes according to the fractions given to help them see how fractions are part of a whole. Snake Coloring Patterns.


These sneaky snakes are hiding, but your kindergartener can crack the code to color them in and reveal their patterns. Boost your child's understanding of geometry dimensions with this worksheet that challenges her to match 2D and 3D Shapes.

Fraction Review Worksheet. Review fractions with your second grader with this worksheet that covers identifying, coloring, and comparing fractions. Learning Symmetry: Owl. Kids can complete this drawing of an adorable owl by using the grid provided, and cultivate early geometry skills at the same time. Shape Jumble. Help your kindergarten child learn his geometric shapes with this printable coloring worksheet.

Geometry Basics: Perimeter. Practice perimeter with your third grader with this nifty worksheet. Review second grade geometry concepts from two- and three-dimensional shapes to symmetry with this helpful shape study guide.

Base and Volume. Calculate the volume of each object using the base and height. Matching Socks Game. Bring along a copy of this matching socks game for long car rides and long waits, and keep your child's boredom at bay.Following is a list of some mathematically well-defined shapes. See the list of algebraic surfaces.

This table shows a summary of regular polytope counts by dimension. The elements of a polytope can be considered according to either their own dimensionality or how many dimensions "down" they are from the body.

math shapes

For example, in a polyhedron 3-dimensional polytopea face is a facet, an edge is a ridge, and a vertex is a peak.

The classical convex polytopes may be considered tessellationsor tilings, of spherical space. Tessellations of euclidean and hyperbolic space may also be considered regular polytopes.

Note that an 'n'-dimensional polytope actually tessellates a space of one dimension less. For example, the three-dimensional platonic solids tessellate the 'two'-dimensional 'surface' of the sphere. From Wikipedia, the free encyclopedia. Wikipedia list article. Main article: List of surfaces. Main article: List of fractals by Hausdorff dimension.

This section needs additional citations for verification. April Learn how and when to remove this template message. This section is empty. You can help by adding to it.

math shapes

November Main article: Uniform polyhedron. Main article: Johnson solid. Main article: spherical polyhedron. Cubic honeycomb Truncated cubic honeycomb Bitruncated cubic honeycomb Cantellated cubic honeycomb Cantitruncated cubic honeycomb Rectified cubic honeycomb Runcitruncated cubic honeycomb Omnitruncated cubic honeycomb Tetrahedral-octahedral honeycomb Truncated alternated cubic honeycomb Cantitruncated alternated cubic honeycomb Runcinated alternated cubic honeycomb Quarter cubic honeycomb Gyrated tetrahedral-octahedral honeycomb Gyrated triangular prismatic honeycomb Gyroelongated alternated cubic honeycomb Gyroelongated triangular prismatic honeycomb Elongated triangular prismatic honeycomb Elongated alternated cubic honeycomb Hexagonal prismatic honeycomb Triangular prismatic honeycomb Triangular-hexagonal prismatic honeycomb Truncated hexagonal prismatic honeycomb Truncated square prismatic honeycomb Rhombitriangular-hexagonal prismatic honeycomb Omnitruncated triangular-hexagonal prismatic honeycomb Snub triangular-hexagonal prismatic honeycomb Snub square prismatic honeycomb.

Triangle Automedian triangle Delaunay triangulation Equilateral triangle Golden triangle Hyperbolic triangle non-Euclidean geometry Isosceles triangle Kepler triangle Reuleaux triangle Right triangle Sierpinski triangle fractal geometry Special right triangles Spiral of Theodorus Thomson cubic Triangular bipyramid Triangular prism Triangular pyramid Triangular tiling. Archived from the original on 14 November Archived from the original on 13 November Archived from the original on 21 September Retrieved 14 June Categories : Mathematics-related lists Lists of shapes.

Hidden categories: Pages with citations lacking titles Pages with citations having bare URLs Articles with short description All articles with unsourced statements Articles with unsourced statements from April Articles needing additional references from April All articles needing additional references Articles using small message boxes Articles to be expanded from November All articles to be expanded Articles with empty sections from November All articles with empty sections.

Namespaces Article Talk. Views Read Edit View history. By using this site, you agree to the Terms of Use and Privacy Policy.There are several kinds of shapes you will learn in elementary school; this page will provide you with the names and examples of each one. A shape with three sides.

Their names are sometimes different depending on the length of the sides. We will show you the common ones:. Parallel means non-intersecting. For example, parallel lines means that if the two lines kept going forever, they would never cross over each other—they would always be an equal distance apart. Another box shape, with two sets of equal sides. Equal sides are opposite each other. The sides are parallel to each other.

Another 4 sided shape, with one set of parallel lines the other set of lines is not paralleldrawn like this:. A shape with five sides. They can be drawn many different ways, but these are the most common:.

The pentagon on the left is known as a regular pentagon, because all of its sides are the same length. The one on the right is also a commonly known pentagon, shaped like a house. All of these shapes are polygons. Most of what you will be asked to do with these shapes is recognize them and draw them, so memorize how many sides they have, what they look like, etc. Geometric Shapes There are several kinds of shapes you will learn in elementary school; this page will provide you with the names and examples of each one.

Circle A round shape, drawn like this: Triangle A shape with three sides. We will show you the common ones: Equilateral triangle—this triangle has 3 equal sides. Isosceles triangle—this triangle has 2 equal sides. Scalene triangle—this triangle has no equal sides. Square A box shape, with four equal sides—opposite sides are parallel, drawn like this: Parallel means non-intersecting. Rectangle Another box shape, with two sets of equal sides.

Solid Geometry

They can be drawn many different ways, but these are the most common: The pentagon on the left is known as a regular pentagon, because all of its sides are the same length. Nonagon A shape with nine sides, drawn like this: Decagon A shape with 10 sides, drawn like this: Dodecagon A shape with 12 sides, drawn like this: Polygons All of these shapes are polygons. Mark favorite.In this section, we will talk about plane figures, which are formed with coplanar on the same plane points joined together.

When planes run into each other, the intersect. The line produced in between is called the line of intersection. Any shape that can be drawn in the plane is called a plane figure. A shape with only straight sides as edges is called a polygon POL-ee-gone. Polygons must have at least three sides, thus the polygons with the fewest number of sides are triangles. Circles and semicircles are not polygons because they have curved sides. When all the sides of a polygon are equal, it is equilateral ee-quee-LAH-teh-roll.

When all the angles of a polygon are equal, it is equiangular ee-quee-ANG-ger-lah. When a polygon is both equilateral and equiangular, it is a regular shape. When doing mathematics problems, it is very important that an equilateral shape may not be equiangular such as a rhombusand an equiangular shape may not be equilateral such as a rectangle. However, an equilateral triangle is always both see below. When dealing with plane figures, there are two measurements that are important to find: the area and the perimeter.

The perimeter is the length around the shape while the area is the size of the shape. They can be calculated with different formulae. A triangle is a shape with three sides.

It can be classified according to its sides or angles, with three kinds each. Here they are:. This is commonly used in proofs and other problems. Imagine a triangle whose points are marked A, B and C, angle A is 60 degrees, and angle B is 70 degrees:.

Usually, when drawing a triangle, we draw one side horizontally. This side is usually called the base.Whether it's a sphere or a circle, a rectangle or a cubea pyramid or a triangle, each shape has specific formulas that you must follow to get the correct measurements. We're going to examine the formulas you will need to figure out the surface area and volume of three-dimensional shapes as well as the area and perimeter of two-dimensional shapes.

You can study this lesson to learn each formula, then keep it around for a quick reference next time you need it. The good news is that each formula uses many of the same basic measurements, so learning each new one gets a little easier. A three-dimensional circle is known as a sphere.

In order to calculate either the surface area or the volume of a sphere, you need to know the radius r. The radius is the distance from the center of the sphere to the edge and it is always the same, no matter which points on the sphere's edge you measure from. Once you have the radius, the formulas are rather simple to remember. Generally, you can round this infinite number to 3. A cone is a pyramid with a circular base that has sloping sides which meet at a central point. In order to calculate its surface area or volume, you must know the radius of the base and the length of the side.

With that, you can then find the total surface area, which is the sum of the area of the base and area of the side.

math shapes

You will find that a cylinder is much easier to work with than a cone. This shape has a circular base and straight, parallel sides. This means that in order to find its surface area or volume, you only need the radius r and height h.

A rectangular in three dimensions becomes a rectangular prism or a box. When all sides are of equal dimensions, it becomes a cube. Either way, finding the surface area and the volume require the same formulas. With a cube, all three will be the same. A pyramid with a square base and faces made of equilateral triangles is relatively easy to work with.This website uses cookies to ensure you get the best experience.

By using this website, you agree to our Cookie Policy. Learn more Accept. Conic Sections Trigonometry. Conic Sections. Matrices Vectors. Chemical Reactions Chemical Properties. Geometry Calculator Calculate properties of planes, coordinates and 3d shapes step-by-step. Correct Answer :. Let's Try Again :. Try to further simplify. Math can be an intimidating subject. Each new topic we learn has symbols and problems we have never seen.

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List of Geometric Shapes

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We want your feedback optional. Cancel Send. Generating PDF See All implicit derivative derivative domain extreme points critical points inverse laplace inflection points partial fractions asymptotes laplace eigenvector eigenvalue taylor area intercepts range vertex factor expand slope turning points.Here you will find a list of different geometric shapes to help you to identify a range of 2d and 3d shapes.

Along with each shape, we have also included the properties of each shape and other helpful information. Here are our list of 2d geometric shapes, including triangles, quadrilaterals and polygons. Sometimes it is specified as having two and only two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.

This means that there is some dispute as to whether an equilateral triangle is a special case of an isosceles triangle or not! There are quite a few members of the quadrilateral family.

There are also some members which are a subset of other members of this family! See below if this confuses you! Some parallelograms have lines of symmetry depending on whether they are also squares, rectangles or rhombusesbut most do not.

There are an infinite number of examples of different irregular polygons that could be shown, and only one example is given. This is an interesting question - the answer could be 0 no straight sides1 curved side, or an infinite number of sides are all possible answers. Crescent shapes are made when two circles overlap, or when one circle is removed from another circle. Please note that there is some disagreement over the definitions and properties of 3d shapes. Cones have either 1 or 2 faces, 0 or 1 edges, and 1 apex which is described by some mathematicians as a vertex.

If the triangular faces making up the prism are all equilateral, then the shape is also called a Tetrahedron. They are named after the Greek philosopher Plato who wrote about them in his philosophical discussions. A regular tetrahedron has equilateral triangles for its faces, and is one of the 5 platonic solids. A regular octahedron has equilateral triangles for its faces, and is one of the 5 platonic solids.

A regular icosahedron is one of the 5 platonic solids with all faces being equilateral triangles. The sheets have been split up into US shapes and UK shapes, as there is a difference in the terminology used.

Here you will find our support page about different Geometry formulas, including formulas about triangles, circles, quadrilaterals and polygons, as well as 3d shape formulae. In the Geometry Cheat Sheet section you will find a range of printable geometry sheets with formula and information about angles, 2d and 3d shapes. Need help with printing or saving? Follow these 3 easy steps to get your worksheets printed out perfectly!

Return to Geometry Section. The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources. We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

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