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3.2 to 3.4 Classwork Booklet
... Rhombus = A quadrilateral in which the lengths of all _______ sides are equal. (use the __________ formula to verify this) Note: A square is a special rhombus that has 4 right angles. To prove a quadrilateral is a square first show it is a rhombus (show all lengths are the same) then find the slope ...
... Rhombus = A quadrilateral in which the lengths of all _______ sides are equal. (use the __________ formula to verify this) Note: A square is a special rhombus that has 4 right angles. To prove a quadrilateral is a square first show it is a rhombus (show all lengths are the same) then find the slope ...
Similar Figures - s3.amazonaws.com
... • To calculate missing sides, we first of all need the scale factor • We then either multiply or divide by the scale factor • To show that 2 shapes are similar we can either show that all of the sides are connected by the scale factor or show that matching angles are the same ...
... • To calculate missing sides, we first of all need the scale factor • We then either multiply or divide by the scale factor • To show that 2 shapes are similar we can either show that all of the sides are connected by the scale factor or show that matching angles are the same ...
Non-Euclidean Geometry
... 2. Any line segment with given endpoints may be continued in either direction. 3. It is possible to construct a circle with any point as its centre and with a radius of any length. 4. All right angles are equal. 5. Given a line L and a point not on L, there is one and only one line which contains th ...
... 2. Any line segment with given endpoints may be continued in either direction. 3. It is possible to construct a circle with any point as its centre and with a radius of any length. 4. All right angles are equal. 5. Given a line L and a point not on L, there is one and only one line which contains th ...
Mathematics - dav hzl senior secondary school
... Thing which are equal to the same thing are equal to one another. That is if A=B and C=B then A=C If equals are added and subtracted to equals the wholes are equal. If A=B, the A+C=B+C, A-C=B-C Things which coincide (to occupy the same space) with one another are equal to one another. The whole is g ...
... Thing which are equal to the same thing are equal to one another. That is if A=B and C=B then A=C If equals are added and subtracted to equals the wholes are equal. If A=B, the A+C=B+C, A-C=B-C Things which coincide (to occupy the same space) with one another are equal to one another. The whole is g ...
Trigonometric functions
In mathematics, the trigonometric functions (also called the circular functions) are functions of an angle. They relate the angles of a triangle to the lengths of its sides. Trigonometric functions are important in the study of triangles and modeling periodic phenomena, among many other applications.The most familiar trigonometric functions are the sine, cosine, and tangent. In the context of the standard unit circle (a circle with radius 1 unit), where a triangle is formed by a ray originating at the origin and making some angle with the x-axis, the sine of the angle gives the length of the y-component (the opposite to the angle or the rise) of the triangle, the cosine gives the length of the x-component (the adjacent of the angle or the run), and the tangent function gives the slope (y-component divided by the x-component). More precise definitions are detailed below. Trigonometric functions are commonly defined as ratios of two sides of a right triangle containing the angle, and can equivalently be defined as the lengths of various line segments from a unit circle. More modern definitions express them as infinite series or as solutions of certain differential equations, allowing their extension to arbitrary positive and negative values and even to complex numbers.Trigonometric functions have a wide range of uses including computing unknown lengths and angles in triangles (often right triangles). In this use, trigonometric functions are used, for instance, in navigation, engineering, and physics. A common use in elementary physics is resolving a vector into Cartesian coordinates. The sine and cosine functions are also commonly used to model periodic function phenomena such as sound and light waves, the position and velocity of harmonic oscillators, sunlight intensity and day length, and average temperature variations through the year.In modern usage, there are six basic trigonometric functions, tabulated here with equations that relate them to one another. Especially with the last four, these relations are often taken as the definitions of those functions, but one can define them equally well geometrically, or by other means, and then derive these relations.