![Math Circle Beginners Group May 8, 2016 Geometry](http://s1.studyres.com/store/data/000988620_1-50233d046b3aab9ab0dd19e578747a0a-300x300.png)
unit #7 getting started
... Definitions : 1) Vertex : A corner point of a polygon, where two sides meet. The plural form is vertices. 2) Diagonal : In a polygon, a line segment joining two vertices that are not next to each other (i.e. not joined by one side) Recall : The interior angles of a triangle always add up to 180. Ma ...
... Definitions : 1) Vertex : A corner point of a polygon, where two sides meet. The plural form is vertices. 2) Diagonal : In a polygon, a line segment joining two vertices that are not next to each other (i.e. not joined by one side) Recall : The interior angles of a triangle always add up to 180. Ma ...
2.8 Vertical Angles
... angles if the rays forming the sides of one angle and the rays forming the sides of the other are opposite rays. ...
... angles if the rays forming the sides of one angle and the rays forming the sides of the other are opposite rays. ...
MATH II TERMS AND DEFINITIONS Coach King
... 10) Circle: the set of all points in a plane that are equidistant (the length of the radius) from a given point, the center, of the circle. 11) Chord: a segment in the interior of a circle whose endpoints are on the circle. 12) Diameter: a segment between two points on a circle, which passes through ...
... 10) Circle: the set of all points in a plane that are equidistant (the length of the radius) from a given point, the center, of the circle. 11) Chord: a segment in the interior of a circle whose endpoints are on the circle. 12) Diameter: a segment between two points on a circle, which passes through ...
Circles REVIEW
... Definition of Arc Measure: The measure of a minor arc is the measure of its central angle. The measure of a major arc is 360º minus the measure of its central angle. The measure of a semicircle is 180º. ...
... Definition of Arc Measure: The measure of a minor arc is the measure of its central angle. The measure of a major arc is 360º minus the measure of its central angle. The measure of a semicircle is 180º. ...
4.2 and 4.9 notes
... triangle that has three congruent acute angles triangle that has one right angle triangle that has one obtuse angle ...
... triangle that has three congruent acute angles triangle that has one right angle triangle that has one obtuse angle ...
Angle A - White Plains Public Schools
... Corresponding Angles – Angles that would match up if we slid the top group of angles down onto the bottom group of angles. 2 and 6 or 3 and 7. Alternate Interior Angles – Angles that are inside the parallel lines but are on opposite sides of the transversal. 3 and 6 or 4 and 5. (Diagonal Jump) Alter ...
... Corresponding Angles – Angles that would match up if we slid the top group of angles down onto the bottom group of angles. 2 and 6 or 3 and 7. Alternate Interior Angles – Angles that are inside the parallel lines but are on opposite sides of the transversal. 3 and 6 or 4 and 5. (Diagonal Jump) Alter ...
7.3 Proving Triangles Similar
... • By the end of this lesson, I will be able to use the AA~ postulate, as well as the SAS~ and SSS~ Theorems when dealing with similar triangles • I will also be able to use similarity to ingeniously find indirect measurements ...
... • By the end of this lesson, I will be able to use the AA~ postulate, as well as the SAS~ and SSS~ Theorems when dealing with similar triangles • I will also be able to use similarity to ingeniously find indirect measurements ...
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.