how to identify all angles that are coterminal?
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Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians. There are an infinite number of coterminal angles that can be found.
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Opposite Angles Are Congruent The angles opposite of each other will have the same measurement. It's common for a parallelogram to have two acute angles and two obtuse angles.
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['Corresponding sides are proportional. That is, the ratios of the corresponding sides are equal.', 'Corresponding angles are equal.']
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The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes. These are often numbered from 1st to 4th and denoted by Roman numerals: I (where the signs of the (x; y) coordinates are I (+; +), II (−; +), III (−; −), and IV (+; −).
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Cofunction Identities. The cofunction identities show the relationship between sine, cosine, tangent, cotangent, secant and cosecant. The value of a trigonometric function of an angle equals the value of the cofunction of the complement. Recall from geometry that a complement is defined as two angles whose sum is 90°.
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A positive angle is 42° + 360°(1) or 402°. A negative angle is 42° + 360°(-2) or -678°. All angles having a measure of 128° + 360k°, where k is an integer, are coterminal with 128°. A positive angle is 28° + 360°(3) or 1208°.
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['The number of sides of the shape.', 'The angles between the sides of the shape.', 'The length of the sides of the shape.']
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['complementary angles. complementary angles are two angles whose sum is 90 degrees. ... ', 'supplementary angles. two angles are said to be supplementary if their sum is 180 degrees. ... ', 'linear pair. if a pair of angles is both adjacent and supplementary, they are said to form a linear pair.', 'vertical angles.']
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['All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary).', 'All sides are congruent by definition.', 'The diagonals bisect the angles.']
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['The Circle.', 'The Triangle.', 'The Rectangle.', 'The Rhombus.', 'The Square.', 'The Trapezoid.']
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Acute. Draw a vertical line connecting the 2 rays of the angle. To determine the number of degrees in an acute angle, connect the 2 rays to form a triangle. Line up the short end of your ruler with the bottom ray, then draw a vertical line intersecting the other ray using the long side of your ruler.
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['All the sides are equal in length.', 'All the interior angles measure 120°.', 'The sum of all the interior angles of a regular hexagon is 720°.']
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To find a positive and a negative angle coterminal with a given angle, you can add and subtract 360° if the angle is measured in degrees or 2π if the angle is measured in radians . Example 1: Find a positive and a negative angle coterminal with a 55° angle.
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['Nonagon.', 'Octagon.', 'Heptagon.', 'Hexagon.', 'Triangle.', 'Scalene triangle.', 'Right triangle.', 'Parallelogram.']
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['Opposite sides are congruent (AB = DC).', 'Opposite angels are congruent (D = B).', 'Consecutive angles are supplementary (A + D = 180°).', 'If one angle is right, then all angles are right.', 'The diagonals of a parallelogram bisect each other.', 'Each diagonal of a parallelogram separates it into two congruent triangles.']
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To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has. For example, an eight-sided regular polygon, an octagon, has exterior angles that are 45 degrees each, because 360/8 = 45.
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Compass points The four cardinal directions are north (N), east (E), south (S), west (W), at 90° angles on the compass rose. The four intercardinal (or ordinal) directions are formed by bisecting the angle of the cardinal directions: northeast (NE), southeast (SE), southwest (SW) and northwest (NW).