Q4 - Franklin County Community School Corporation
... COMMON CORE AND INDIANA ACADEMIC STANDARDS inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch). 3. Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations ...
... COMMON CORE AND INDIANA ACADEMIC STANDARDS inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch). 3. Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations ...
High School Geometry Correlation of the ALEKS course High
... Using trigonometry to find distances Solving a right triangle Using a trigonometric ratio to find an angle measure in a right triangle Using trigonometry to find angles of elevation or depression Finding the area of a right triangle using the Pythagorean Theorem Computing an area using the Pythagore ...
... Using trigonometry to find distances Solving a right triangle Using a trigonometric ratio to find an angle measure in a right triangle Using trigonometry to find angles of elevation or depression Finding the area of a right triangle using the Pythagorean Theorem Computing an area using the Pythagore ...
LOGIC AND INCIDENCE GEOMETRY
... was co be explicit about our basic assumptions, including even the most obvious. Although it is "obvious" that two points determine a unique line, Euclid stated this as his first postulate. So ifin some proof we want to say that every line has points lying on it, we should list this statement as ano ...
... was co be explicit about our basic assumptions, including even the most obvious. Although it is "obvious" that two points determine a unique line, Euclid stated this as his first postulate. So ifin some proof we want to say that every line has points lying on it, we should list this statement as ano ...
Sides and angles
... In the notes on Pythagoras’ theorem you found out that the side opposite the right angle is called the hypotenuse. In trigonometry the other two sides are also named. They are called the adjacent and opposite with reference to the two other angles. Here is the triangle ABC in which B = 90. On the ...
... In the notes on Pythagoras’ theorem you found out that the side opposite the right angle is called the hypotenuse. In trigonometry the other two sides are also named. They are called the adjacent and opposite with reference to the two other angles. Here is the triangle ABC in which B = 90. On the ...
(Semester) Pacing Guide
... Write functions to represent transformations. Recall definitions of angles, circles, perpendicular and parallel lines and line segments. Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines and line segments. Given a ...
... Write functions to represent transformations. Recall definitions of angles, circles, perpendicular and parallel lines and line segments. Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines and line segments. Given a ...
Cartesian coordinate system
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length. Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin, usually at ordered pair (0, 0). The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin.One can use the same principle to specify the position of any point in three-dimensional space by three Cartesian coordinates, its signed distances to three mutually perpendicular planes (or, equivalently, by its perpendicular projection onto three mutually perpendicular lines). In general, n Cartesian coordinates (an element of real n-space) specify the point in an n-dimensional Euclidean space for any dimension n. These coordinates are equal, up to sign, to distances from the point to n mutually perpendicular hyperplanes.The invention of Cartesian coordinates in the 17th century by René Descartes (Latinized name: Cartesius) revolutionized mathematics by providing the first systematic link between Euclidean geometry and algebra. Using the Cartesian coordinate system, geometric shapes (such as curves) can be described by Cartesian equations: algebraic equations involving the coordinates of the points lying on the shape. For example, a circle of radius 2 in a plane may be described as the set of all points whose coordinates x and y satisfy the equation x2 + y2 = 4.Cartesian coordinates are the foundation of analytic geometry, and provide enlightening geometric interpretations for many other branches of mathematics, such as linear algebra, complex analysis, differential geometry, multivariate calculus, group theory and more. A familiar example is the concept of the graph of a function. Cartesian coordinates are also essential tools for most applied disciplines that deal with geometry, including astronomy, physics, engineering and many more. They are the most common coordinate system used in computer graphics, computer-aided geometric design and other geometry-related data processing.