Maths Notes Maths Notes for Shear and Stretch Stretch • The transformation consists of:o o • The invariant line Scale factor For stretch‚ the transformation takes place perpendicular to the invariant line. • Scale factor(K) = 4 3 2 1 -2 -1 0 -1 -2 -3 1 2 3 = Y 4 X Invariant line In the above example‚ the x-axis is the invariant line and the object lies on (1‚1). Thus‚ =1 The scale factor is given to us as K = 3 1 Maths Notes Thus‚ acc. to the formula given
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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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Theorems 1 All right angles are congruent. 2 Perpendicular lines form right angles. 3 If two angles are complements or supplements to the same or congruent angles‚ they are congruent. 4 Two adjacent angles that fall on the same line form a linear pair and are supplementary. 5 Corresponding parts of congruent triangles are congruent. 6 If two sides of a triangle are congruent the angles opposite are congruent. 7 If two angles in a triangle are congruent the sides opposite are congruent. 8 The base
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Many results in geometry can be shown or demonstrated by construction and measurement. For example‚ we can draw a triangle and measure the angles to show or demonstrate that the angle sum of a triangle is 180 ° . However this does not prove that the angle sum of any triangle is 180 ° . To prove this and other geometrical results we use a process called deduction ‚ in which a specific result is proved by reasoning logically from a general principle or known fact. When setting out proofs
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Name of the course: Descriptive geometry and mechanical drawing 1. Organization of the course ( 课程安排 ) 2. Introduction of the course Organization of the course • Lectures---44 • Assignments---submitted before the exercise lesson • Assessment (full score is 100) -Assignments (30%)—submitted in time + high quality; performance and contribution in the classroom. -Final examination (70%). Introduction of the course 1.The Characteristic: graphical language for engineering communication 2.Tasks （
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Reaction Paper Ric Michael P. De Vera IV- Rizal Mr. Norie Sabayan I. A and B Arabic mathematics: forgotten brilliance? Indian mathematics reached Baghdād‚ a major early center of Islam‚ about ad 800. Supported by the ruling caliphs and wealthy individuals‚ translators in Baghdād produced Arabic versions of Greek and Indian mathematical works. The need for translations was stimulated by
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1. A statement of equality between two expressions. 2. An equation in two or more variables. 3. A polynomial with more than three terms. 4. A monomial that does not contain variable. 5. Is a special type of sequence in which the reciprocal of each term forms an arithmetic sequence. 6. Is a statement indicating the equality of two ratios. 7. A polynomial with exactly two terms. 8. A pair of numbers in which the order is specified. 9. A comparison between two quantities
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2.06 Module One Activity Student Name: **Refer to the Module Two Activity Lesson for specific directions** Step 1: Translations and SSS Identify and label three points on the coordinate plane that are a translation of the original triangle. Next‚ use the coordinates of your translation along with the distance formula to show that the two triangles are congruent by the SSS postulate. You must show all work with the distance formula and each corresponding pair of sides to
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Paige Fredericks Jessica Weydert Jessie Joachim 12/12/12 450º Cone Definition of a Straight Line: A straight line possesses reflection symmetry across itself and half-turn symmetry. Postulates: 1. To draw a straight line from any point to any point. Postulate 1 is false because it does not follow our definition of a straight line. We started off by drawing random points on the cone to determine which points we can or cannot connect to create a straight line based off our definition.
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Scerria Ford EDUC 301 B03 Fall 2014 Geometry Essay According to the merriam-webster dictionary‚ the definition of measurement is the "act or process of measuring something". A further explanation goes on saying that the act of measuring something pertains to a size‚ length or amount known by measuring something. I do believe that this explanation works equally well for length‚ area‚ weight and volume but perhaps not time. You can not physically measure time‚ you can not hold time in your hand
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