![Activity 2.3.6 Equilateral Triangles](http://s1.studyres.com/store/data/000439238_1-499789bf153a40f6be47a9d80e33be31-300x300.png)
Special angles Sentry theorem
... 4.7. Draw an 8-by-9-by-12 box ABCDEF GH. How many right triangles can be formed by connecting three of the eight vertices? 4.8. Equilateral triangle ABC of side length 2 is drawn. Three squares containing the triangle, ABDE, BCF G, and CAHI, are drawn. What is the area of the smallest triangle that ...
... 4.7. Draw an 8-by-9-by-12 box ABCDEF GH. How many right triangles can be formed by connecting three of the eight vertices? 4.8. Equilateral triangle ABC of side length 2 is drawn. Three squares containing the triangle, ABDE, BCF G, and CAHI, are drawn. What is the area of the smallest triangle that ...
Geometry Learning Targets Section Section Title Learning Targets I
... Chapter 3B: Write and Graph Linear Equations Find and Use Slopes of Lines 1. Find slope of a line given two points, graph 2. Classify lines given the slope ...
... Chapter 3B: Write and Graph Linear Equations Find and Use Slopes of Lines 1. Find slope of a line given two points, graph 2. Classify lines given the slope ...
Maths SoW - Thinking Skills @ Townley
... Brainstorm prior knowledge about angles and triangles [three straight sides, acute, obtuse, right-angles, isosceles, equilateral, scalene, area, two right-angles make a straight line]. Define and note keywords where required. What if a right angle was 100o?(The what if key) Have a picture of an orch ...
... Brainstorm prior knowledge about angles and triangles [three straight sides, acute, obtuse, right-angles, isosceles, equilateral, scalene, area, two right-angles make a straight line]. Define and note keywords where required. What if a right angle was 100o?(The what if key) Have a picture of an orch ...
Lines and angles – lines
... b When we say the sides are equal we mean they are the same length. We show equal sides by crossing them with or =. Mark the equal lines on your rectangle: one set with and the other set with =. c We often use the terms opposite and adjacent. Opposite means facing and adjacent means next to. Trace ...
... b When we say the sides are equal we mean they are the same length. We show equal sides by crossing them with or =. Mark the equal lines on your rectangle: one set with and the other set with =. c We often use the terms opposite and adjacent. Opposite means facing and adjacent means next to. Trace ...
Notes on transformational geometry
... • A function that is both 1-1 and onto is also called a bijection. • We’ll often use Greek letters (like φ) for the names of transformations, and regular letters (like x) for the names of points and other sets. Here are some examples of transformations of R2 (the plane): 1. Reflecting the plane acro ...
... • A function that is both 1-1 and onto is also called a bijection. • We’ll often use Greek letters (like φ) for the names of transformations, and regular letters (like x) for the names of points and other sets. Here are some examples of transformations of R2 (the plane): 1. Reflecting the plane acro ...
Tessellation
![](https://commons.wikimedia.org/wiki/Special:FilePath/Ceramic_Tile_Tessellations_in_Marrakech.jpg?width=300)
A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellations can be generalized to higher dimensions and a variety of geometries.A periodic tiling has a repeating pattern. Some special kinds include regular tilings with regular polygonal tiles all of the same shape, and semi-regular tilings with regular tiles of more than one shape and with every corner identically arranged. The patterns formed by periodic tilings can be categorized into 17 wallpaper groups. A tiling that lacks a repeating pattern is called ""non-periodic"". An aperiodic tiling uses a small set of tile shapes that cannot form a repeating pattern. In the geometry of higher dimensions, a space-filling or honeycomb is also called a tessellation of space.A real physical tessellation is a tiling made of materials such as cemented ceramic squares or hexagons. Such tilings may be decorative patterns, or may have functions such as providing durable and water-resistant pavement, floor or wall coverings. Historically, tessellations were used in Ancient Rome and in Islamic art such as in the decorative tiling of the Alhambra palace. In the twentieth century, the work of M. C. Escher often made use of tessellations, both in ordinary Euclidean geometry and in hyperbolic geometry, for artistic effect. Tessellations are sometimes employed for decorative effect in quilting. Tessellations form a class of patterns in nature, for example in the arrays of hexagonal cells found in honeycombs.