2. Quadrilateral 3. Pentagon 4. Hexagon 5. Heptagon 6. Octagon 7. Nonagon 8. Decagon 9. Dodecagon 10. Tetradecagon F. Circles Introduction "Geometry‚" meaning "measuring the earth‚" is the branch of math that has to do with spatial relationships. In other words‚ geometry is a type of math used to measure things that are impossible to measure with devices. For example‚ no one has been able take a tape measure around the earth‚ yet we are pretty confident
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and width. Such a figure does not lie entirely in a plane. The "3" in 3D refers to the number of dimensions. The "D" stands for dimension‚ which is an axis in a coordinate system. Prism A solid geometric figure whose two ends are similar‚ equal‚ and parallel rectilinear figures‚ and whose sides are parallelograms. Pyramid In geometry‚ a pyramid is a polyhedron formed by connecting a polygonal base and a point‚ called the apex. Each base edge and apex form a triangle. It is a conic solid with
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Geometry in everyday life Geometry was thoroughly organized in about 300bc‚ when the Greek mathematician‚ Euclid gathered what was known at the time; added original work of his own and arranged 465 propositions into 13 books‚ called Elements. Geometry was recognized to be not just for mathematicians. Anyone can benefit from the basic learning of geometry‚ which is to follow the lines reasoning. Geometry is one of the oldest sciences and is concerned with questions of shape‚ size and relative
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Geometry Conjectures Chapter 2 C1- Linear Pair Conjecture - If two angles form a linear pair‚ then the measures of the angles add up to 180°. C2- Vertical Angles Conjecture - If two angles are vertical angles‚ then they are congruent (have equal measures). C3a- Corresponding Angles Conjecture- If two parallel lines are cut by a transversal‚ then corresponding angles are congruent. C3b- Alternate Interior Angles Conjecture- If two parallel lines are cut by a transversal‚ then alternate interior
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Carl Gauss 6. He was an English mathematician who was born on Christmas Day. Isaac Newton 7. He dropped different weight balls from the Tower of Pisa to show that they would hit the ground at the same time. Galileo 8. He is known as the “Father of Geometry.” Euclid 9. This mathematician died of cancer at age 55. Sophie Germain 10. He worked for King Hieron. He conducted experiments to figure out if the king’s crown had gold and silver in it. Archimedes 11. This mathematician is famous for experiments
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Area of a parallelogram-__________ Area of a trapezoid-__________ Area of a circle-__________ Area of a triangle-__________ 1.) (Parallelogram) Find height when base is 7ft and area is 56ft squared. 2.)(Parallelogram) Find base when h=12 and A=216in squared. 3.)(Triangle) Find base when h=9ft and A=35ft squared. 4.)(Trapezoid) Find height when A=25m squared‚ b1=3m‚ and b2=7m. 5.)(Circle) Find radius when A=314ft squared. (Round to the nearest whole number). 6.) Base=12ft Height=12ft
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Science” Contributions: * He is credited with the first use of deductive reasoning applied to geometry. * Discovery that a circle is bisected by its diameter‚ that the base angles of an isosceles triangle are equal and that vertical angles are equal. * Accredited with foundation of the Ionian school of Mathematics that was a centre of learning and research. * Thales theorems used in Geometry: 1. The pairs of opposite angles formed by two intersecting lines are equal. 2. The base
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3 Progressions 4 Permutations and combinations 5 5 Probability 3 6 Statistics 4 7 Surds 3 8 Polynomials 4 9 Quadratic equations 10 10 10 Similar triangles 6 11 Pythagoras theorem 4 12 Trigonometry 6 13 Co-ordinate geometry 4 14 Circle - chord properties 1 15 Circles - tangent properties 9 Dimension – 2 Weightage to objectives 1 2 3 4 Remembering 10% Understanding 55% Applying (including analysis) 20% skill 15% Types of questions Sl. No. 1 Type
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(1921)‚ Time Magazine’s Person of the Century (1999) Einstein’s Contribution to Mathematics While Einstein was remembered for his contributions to physics‚ he also made contributions in mathematics. He contributed several equations to calculus and geometry‚ ten of which are called the Einstein Field Equations. He first published these equations in 1915. One of these equations demonstrates how stress-energy inflicts curvature of space-time. Born: Dec 25‚ 1642‚ in Woolsthorpe-by-Colsterworth‚ Lincolnshire
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WT + 15 = 20 WT = 5 6-6 Trapezoids and Kites Find each measure. 1. ANSWER: 5 COORDINATE GEOMETRY Quadrilateral ABCD has vertices A (–4‚ –1)‚ B(–2‚ 3)‚ C(3‚ 3)‚ and D(5‚ –1). 3. Verify that ABCD is a trapezoid. SOLUTION: First graph the points on a coordinate grid and draw the trapezoid. SOLUTION: The trapezoid ABCD is an isosceles trapezoid. So‚ each pair of base angles is congruent. Therefore‚ ANSWER: 101 2. WT‚ if ZX = 20 and TY = 15 SOLUTION: The trapezoid WXYZ is an isosceles trapezoid
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