geometry
Introduction to geometry
We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry.
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Plane GeometryPlane geometry is about flat shapes like lines, circles and triangles. These shapes that can be drawn on a piece of paper, which means that they are two dimensional
dimensions
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2d shapes
triangles |
A polygon is a plane (2D) shape with straight sides.
To be a regular polygon all the sides and angles must be the same: |
Equilateral, Isosceles and Scalene
There are three special names given to triangles that tell how many sides (or angles) are equal. There can be 3, 2 or no equal sides/angles: calculating the areaExample: What is the area of this triangle?Why is the Area "Half of bh"? |
What Type of Angle?
Triangles can also have names that tell you what type of angle is inside: Combining Names
Sometimes triangles have two names, for example: quizzesQuestion 1
Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 Question 10 |
solid geometry
Three DimensionsSimple ShapesInteractive web page on simples shapes:
https://www.mathsisfun.com/geometry/common-3d-shapes.html |
PropertiesSolids have properties (special things about them), such as:
Polyhedra and Non-PolyhedraThere are two main types of solids, "Polyhedra", and "Non-Polyhedra":
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formulas for solid geometry
circular cone
cubepyramidRectangular Prismsphere |
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quizzes
- BB.1Lines, line segments, and rays
- BB.2Review of 2- and 3-dimensional figures
- BB.3Angle review: measure and classify
- BB.4Estimate angle measurements
- BB.5Name angles
- BB.6Complementary and supplementary angles
- BB.7Transversal of parallel lines
- BB.8Triangle review
- BB.9Classify quadrilaterals
- BB.10Find missing angles and side lengths in triangles and quadrilaterals
- BB.11Sums of angles in polygons
- BB.12Parts of a circle
- BB.13Central angles of circles
- BB.14Similar and congruent figures
- BB.15Find side lengths of similar figures
- BB.16Reflection, rotation, and translation
- BB.17Translations: graph the image
- BB.18Reflections: graph the image
- BB.19Rotations: graph the image
- BB.20Symmetry
- BB.21Find lengths and measures of bisected lines and angles
- BB.22Perimeter
- BB.23Area
- BB.24Area of compound figures
- BB.25Area between two rectangles
- BB.26Area between two triangles
- BB.27Rectangles: relationship between perimeter and area
- BB.28Compare area and perimeter of two figures
- BB.29Circles: calculate area, circumference, radius, and diameter
- BB.30Circles: word problems
- BB.31Area between two circles
- BB.32Identify polyhedra and count faces, edges, and vertices
- BB.33Which figure is being described?
- BB.34Front, side, and top view
- BB.35Nets of 3-dimensional figures
- BB.36Volume of cubes and rectangular prisms
- BB.37Surface area of cubes and rectangular prisms
- BB.38Volume and surface area of triangular prisms
- BB.39Volume and surface area of cylinders
- BB.40Relate volume and surface area
- BB.41Semicircles: calculate area, perimeter, radius, and diameter
- BB.42Quarter circles: calculate area, perimeter, and radius
- BB.43Area of compound figures with triangles, semicircles, and quarter circles