Pythagoras Pythagoras must have been one of the world’s greatest men. However‚ he wrote nothing and it is unknown how much of the doctrine of Pythagoras is due to the founder of society and how much is later development. Sometimes he is represented as a man of science‚ a mathematician‚ and even as a preacher of mystical doctrines. None of these traditional views‚ however‚ should be rejected‚ for he contributed his genius in each field. Pythagoras lived from about 569 BC to about 475 BC. His father
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Game: This is a board game. There are two teams in which they will answer all the questions that they obtained. In the end of the game‚ at least 90% of the students must learn how to identify different kinds of points‚ lines‚ angles‚ postulates‚ to solve for the measure of an angle‚ and to learn how to make reasons. Materials to be used: Illustration board which contains a question at the front and answer at the back‚ figurines‚ and 2 dices. Mechanics of the Game: 1. The game is composed of easy
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though the straight-edged‚ black steel pieces are certainly sobering. If Inside Out takes on the character of a funhouse‚ 7 Plates‚ 6 Angles is more in tune with the brutalist vocabulary of Serra’s work of the 1970s and 1980s. Huge steel walls several feet wide zigzag through an expansive gallery‚ dividing it into triangular spaces where the plates meet at acute angles. An adjacent room is filled with 24 steel plates of varying heights‚ though all are roughly as tall as a person. The title of the work
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more than one radius) together and make a triangle. There is a problem we do not know the apothem (line segment of a regular polygon from the center to the midpoint of one of its sides)! In order to find the apothem you must find the angle measure of the central angle 360/the number of sides so it would be 360/6 which is 60.Then draw a line down the middle of the triangle‚ then you must cut it in half so‚ 60/2= 30 at this point you realize that the two triangles are 30-60-90 triangles. Since you know
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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 angles are congruent. C3c- Alternate Exterior Angles Conjecture-
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Definitions Name Complementary Angles Supplementary Angles Theorem Vertical Angles Transversal Corresponding angles Same-side interior angles Alternate interior angles Congruent triangles Similar triangles Angle bisector Segment bisector Legs of an isosceles triangle Base of an isosceles triangle Equiangular Perpendicular bisector Altitude Definition Two angles whose measures have a sum of 90o Two angles whose measures have a sum of 180o A statement that can be proven Two angles formed by intersecting
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Angle measurement The concept of angle The concept of angle is one of the most important concepts in geometry. The concepts of equality‚ sums‚ and differences of angles are important and used throughout geometry‚ but the subject of trigonometry is based on the measurement of angles. There are two commonly used units of measurement for angles. The more familiar unit of measurement is that of degrees. A circle is divided into 360 equal degrees‚ so that a right angle is 90°. For the time being
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2 – SEGMENT ADDITION POSTULATE. IF B IS BETWEEN A AND C THEN AB+BC=AC. IF AB+BC=AC THEN B IS BETWEEN A AND C DISTANCE FORMULA (X2-X1)2+(Y2-Y1)2 Angle-consists of 2 diff rays that have the same initial angle Sides-(rays) sides of an angle Vertex-initial part of an angle Congruent angles- angles w/ the same measure. Adjacent angle- angles that share a common vertex and side but have no common interior points Midpoint- the point that divides or Bisects-the segment into 2 congruent segments
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Twice the Angle - Circle Theorems 3: Angle at the Centre Theorem Definitions An arc of a circle is a contiguous (i.e. no gaps) portion of the circumference. An arc which is half of a circle is called a semi-circle. An arc which is shorter than a semi-circle is called a minor arc. An arc which is greater than a semi-circle is called a major arc. Clearly‚ for every minor arc there is a corresponding major arc. A segment of a circle is a figure bounded by an arc and its chord. If the arc is a minor
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Q: 6 Under which of the following conditions are you most likely to fall sick? (a) When you are taking examinations. (b) When you have travelled by bus and train for two days. (c) When your friend is suffering from measles. Why? Answer I will be most likely to fall sick when my friend is suffering from measles. This is because in this condition‚ I will visit my friend and will be likely to get infected with measles. Measeles is an infectious as well as an air-borne disease. When
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