Geometry Notes PDF
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Uploaded by TopNotchNoseFlute
Epping Boys High School
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Summary
These notes contain definitions and properties related to geometry, including circles, angles, triangles, and quadrilaterals. The notes also cover basic algebraic concepts.
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Lenghts And Circles Perimeter = Sum of All Sides - For complicated shapes you need to find the unknown sides. - Remember the symbols for matching sides -Composite shapes is when multiple shapes are combined. Circles -Radius - Distances from the centre to the circumference -Diameter - Distance from...
Lenghts And Circles Perimeter = Sum of All Sides - For complicated shapes you need to find the unknown sides. - Remember the symbols for matching sides -Composite shapes is when multiple shapes are combined. Circles -Radius - Distances from the centre to the circumference -Diameter - Distance from opposite sides in the circle passing through the centre - Arc - Distance between two points on the circumference - CHord - A line that joins two points in the circle. -Sector - A space between the chord and the arc. -Tangent - A straight line that touches the circle at only one point Circumference = 2 x PI x Radius > Radius = Diameter divided by 2 Angle Relations -Complementary angles add up to 90 degrees -Supplementary angles add up to 180 degrees - Right angles add up to 90 degrees -Straight angles add up to 180 degrees -Angles of Revolution add up to 360 degrees - Vertically opposite angles are equal ( angles opposite 2 straight lines) ALTERNATE IS Z, CORRESPONDING IS F, CO-INTERIOR IS U. Two lines are parallel if the following are true. Corresponding angles are equal Alternate angles are equal Geometrical figures -Acute triangles has all 3 angles less than 90 degrees -Obtuse triangle has one angle larger than 90 degrees -Right angle triangle has one right angle = 90 degrees -Equilateral Triangle - 3 sides equal, 3 angles equal - Isocelles triangle - 2 sides equal, 2 angles equal -scalene triangle - no sides equal, no angles equal. Quadrilateralls -Square: Square - All equal sides, all equal angles -rectangle: Opposite sides are equal, all equal angles -Parallelogram - opposite sides equal and parallel. -Trapezium: One pair of parallel sides ANGLE SUM OF TRIANGLE EQUALS 180 EXTERIOR ANGLE OF A TRIANGLE IS EQUAL OT THE SUM OF THE OPPOSITE INTERIOR ANGLES ANGLE SUM OF A QUADRILATERAL EQUALS 360 Algebra 2x means 2 times x Y over 3 means y divided by 3 X squared means x times x Sum means + Less then mean s- Multiple means x Shared means divide