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Download Angles First Lesson Quadrilateral = a 4 sided figure Parallelogram
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Transcript
Angles First Lesson Quadrilateral = a 4 sided figure Parallelogram = a quadrilateral with two sides parallel Trapezium = a parallelogram with a third side at right angles to the parallel sides Rectangle = a trapezium with the all sides at right angles to each other Square = a rectangle with each side having the same length. Triangles are 3 sided figures Scalene Triangle = a triangle with three sides of different lengths Isosceles Triangle = a triangle with two sides the same length Equilateral Triangle = a triangle with three sides the same length Right Angled Triangle = a triangle with one right angle in it (Pythagoras) Angles Symmetry = it looks the same after you do something to it, e.g. rotate it or hold a mirror to it Congruent = two shapes which have the same shape, the same size Right angled = like the corner of a page, square. Lines, and Shapes Lines go on forever, well beyond the edge of the page. Line segments are chopped up bits of lines and have a length. Vertex (vertices) are the points on a shape, three points on the triangle, four on a square etc. Pentagon, Hexagon, Octagon.... are names of some polygons. You can call them n-gons (n= 5,6,8) but that’s not very interesting. A plane is a flat bit of space but in maths it does not help a door to fit into its frame. A Compass in maths draws circles and doesn’t usually know which direction is North. Only two points are needed to define a line, if there are lots of points on a line they’re collinear. The middle point of a line segment is called the midpoint (no imagination these mathematicians...) A protractor is a usually a D shape and gives the size of angles. Euclid proved lots of things about angles about 2300 years ago and made some proofs about numbers too. (He showed that you can’t make a list of all the prime numbers.) Why do we have 360 degrees in a full rotation? It is because the Babylonians used them? The Persians used them? Who knows? There was an attempt to decimalize angles so that 100 grad were a right angle. It’s still on your calculator but no one used them. http://www.mathsisfun.com/definitions/congruent.html