Chapter8 - Catawba County Schools
... angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar. ...
... angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar. ...
5N0556_AwardSpecifications_English
... Theorem 3: Alternate angles: Suppose that A and D are on opposite sides of the line BC. If |∠ ABC| = |∠ BCD|, then AB ││ CD. In other words, if a transversal makes equal alternate angles on two lines, then the lines are parallel. Conversely, if AB ││ CD, then |∠ ABC| = |∠ BCD. In other words, if two ...
... Theorem 3: Alternate angles: Suppose that A and D are on opposite sides of the line BC. If |∠ ABC| = |∠ BCD|, then AB ││ CD. In other words, if a transversal makes equal alternate angles on two lines, then the lines are parallel. Conversely, if AB ││ CD, then |∠ ABC| = |∠ BCD. In other words, if two ...
![shrek[1]](http://s1.studyres.com/store/data/008401727_1-f06d93d9b43224194add539bd8e6b8ab-300x300.png)
shrek[1]
... Bingo Rules: You must get two bingo’s to win this game (ex: two lines across; one across, one down; one diagonal one down). The first 3 bingo winners receive a homework pass. Remember to be on your best behavior and no yelling out until you have bingo. ...
... Bingo Rules: You must get two bingo’s to win this game (ex: two lines across; one across, one down; one diagonal one down). The first 3 bingo winners receive a homework pass. Remember to be on your best behavior and no yelling out until you have bingo. ...
θ - math-secrets
... 2) To use trigonometry and a scientific calculator to find the length of the unknown sides in a right angled triangle 3) To use trigonometry and a scientific calculator to find the size of the unknown angles in a right angled triangle ) إيجاد النسب المثلثية األساسية لزاوية محددة في مثلث قائم الزاوي ...
... 2) To use trigonometry and a scientific calculator to find the length of the unknown sides in a right angled triangle 3) To use trigonometry and a scientific calculator to find the size of the unknown angles in a right angled triangle ) إيجاد النسب المثلثية األساسية لزاوية محددة في مثلث قائم الزاوي ...
Unit 6 Lesson 5 Area With Trig
... • The area of an oblique triangle is one-half the product of the lengths of two sides, times the sine of their included angle! • For any triangle, ABC Area = ½ bc sinA = ½ ab sinC = ½ ac sinB ...
... • The area of an oblique triangle is one-half the product of the lengths of two sides, times the sine of their included angle! • For any triangle, ABC Area = ½ bc sinA = ½ ab sinC = ½ ac sinB ...
7-5 notes (Word)
... Theorem 7-1 – SAS Similarity Theorem – If an angle of one triangle is congruent to an angle of another triangle and the sides including those angles are in proportion, then the triangles are similar D A ...
... Theorem 7-1 – SAS Similarity Theorem – If an angle of one triangle is congruent to an angle of another triangle and the sides including those angles are in proportion, then the triangles are similar D A ...
CIRCLES:
... B. Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translat ...
... B. Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translat ...
File
... sides where opposite sides are parallel. Also: • opposite sides are equal in length • and opposite angles are equal (angles "a" are the same, and angles "b" are the same) ...
... sides where opposite sides are parallel. Also: • opposite sides are equal in length • and opposite angles are equal (angles "a" are the same, and angles "b" are the same) ...
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.