year 7 maths 15 nov 2021

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quadrilaterals

convex: 4 angles less than 180 degrees

non-convex: one interior angle greater than 180

parallelogram: 2 pairs of parallel sides, 2 pairs of opposite sides of equal length, opposite angles equal

rectangle: 2 pairs of parallel sides, 2 pairs of opposite side of equal length, opposite angles equal

rhombus: 2 pairs of parallel sides, all sides of equal length, opposite angles equal

square: 2 pairs of parallel sides, all sides of equal length, all 90 degrees

trapezium: 1 pair of parallel sides (u can sometimes define a trapezium as a quadrilateral with at least 1 pair of parallel sides; this would make all parallelograms also trapeziums

kite: 2 pairs of adjacent sides of equal length, 1 pair of opposite angles that are equal in size


a= 70 degrees

b= 120 degrees

c= 170 degrees

d= a

170

minus exterior angle to get interior angle

c= 360-170=190

180-120=60

170+120+70= 360

360-220=140

interior angle: adds up to 360 degrees

exterior angle: formed by extending one side

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