How_To_Be_Good_At_Math
GEOMETRY • USING A PROTRACTOR 239 Measuring angles up to 180° You can use a protractor to measure the angle formed by any two li ...
240 GEOMETRY •^ ANGLES INSIDE TRIANGLES Strong shapes Triangles are useful shapes for engineers as they are stable and hard to p ...
inside triangles Calculating angles TRY IT OUT Work out the angles If you know what type of triangle you’re looking at, you can ...
242 GEOMETRY • CALCULATING ANGLES INSIDE TRIANGLES Calculating angles inside triangles The third triangle is different again but ...
GEOMETRY • CALCULATING ANGLES INSIDE TRIANGLES 243 Finding a missing angle in a triangle The rule we’ve just learned can be real ...
quadrilaterals Angles inside Angles inside quadrilaterals Quadrilaterals have different names, depending on the properties of th ...
quadrilaterals Calculating angles inside Find the missing angle So, now we know that the angles in a quadrilateral add up to 360 ...
246 GEOMETRY •^ ANGLES INSIDE POLYGONS Angles inside polygons More sides means bigger angles All the angles in a regular polygon ...
GEOMETRY • CALCULATING THE ANGLES IN A POLYGON 247 Look at this pentagon. You can see that we can divide the five-sided shape in ...
248 GEOMETRY •^ COORDINATES Coordinates Coordinates help us to describe or find the position of a point or place on a map or gri ...
coordinates Plotting points using 0 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 (4, 2) Find the coor ...
coordinates Positive and negative Quadrants of a graph When we extend the x and y axes of a grid beyond the origin, we create fo ...
draw a polygon Using coordinates to (−2, 4) (2, 4) (−4, −4) (4, −4) We carry on joining up the points until we have made a shape ...
252 GEOMETRY •^ POSITION AND DIRECTION Position and direction We can use a grid and coordinates to describe the positions of pla ...
GEOMETRY • POSITION AND DIRECTION 253 We can use map coordinates to find our way round Cybertown's theme park, Astro World. The ...
254 GEOMETRY •^ COMPASS DIRECTIONS Compass directions A compass is a tool we use for finding a location or to help us move in a ...
GEOMETRY • COMPASS DIRECTIONS 255 Get your bearings Now it’s your turn to navigate your way around the Android Islands. Can you ...
256 GEOMETRY •^ REFLECTIVE SYMMETRY Reflective symmetry A shape has reflective symmetry if you can draw a line through it, divid ...
GEOMETRY • REFLECTIVE SYMMETRY 257 Lines of symmetry in 2D shapes Here are the lines of symmetry in some common 2D shapes. Numbe ...
258 GEOMETRY •^ ROTATIONAL SYMMETRY Rotational symmetry We say that an object or shape has rotational symmetry if it can be turn ...
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