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Line (geometry) wikipedia , lookup
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Shop Math (Except Trigonometry) √𝟏 = 1 √𝟐 = 1.4142 √𝟑 = 𝟏. 𝟕𝟑𝟐𝟎 √𝟒 = 2 √𝟓 = 2.2360 √𝟔 = 𝟐. 𝟒𝟒𝟗𝟒 √𝟕 = 𝟐. 𝟔𝟒𝟓𝟕 √𝟖 = 𝟐. 𝟖𝟐𝟖𝟒 √𝟗 = 𝟑 √𝟏𝟎 = 𝟑. 𝟏𝟔𝟐𝟐 Ray: a line that starts at one point (vertex) and extends indefinitely in one direction. Acute angle: an angle between 0° and 90°. Right angle: an angle that is perpendicular (90°). Straight angle: an angle that forms a straight line (180°). Obtuse angle: an angle between 90° and 180°. Degrees, minutes, seconds example: 34° 37' 42". Degrees decimal example: 34.6283 . Polygon: a closed plane figure having three or more sides. Each side is connected at a common endpoint called a vertex. Poly means many and gon means side, therefore a polygon is a figure with many sides. The triangle is a rigid figure since its shape will not change unless one side changes in length. It is the only rigid polygon. All other polygons can change their shape by pivoting a side about a vertex. Therefore, a triangle is great for building a rigid structure. The interior angles of a triangle always add to 180°. Triangles: Scalene triangle: all sides are unequal. Isosceles triangle: exactly two sides are equal. Equilateral triangle: All sides are equal. Right triangle: has one right angle (90°). The sides adjacent to the right angle are called legs of the right triangle and the side opposite the right angle is called the hypotenuse. Pythagorean Theorem: a2 + b2 = c2 This formula is used to solve right triangles. If you know two sides of a right triangle, you can solve for the third side using this formula. Circle: all the points in a plane equal distance from one point called its center. A circle has 360°. Radius: a straight-line segment from the center of a circle to any point on the circle. Chord: a line segment with both endpoints on a circle. Diameter: a chord that passes through the center. It is usually abbreviated as d. Its length is twice the length of the radius. d = 2r Arc: a segment of a circle from one point to another along the curve of the circle. Circumference: the distance around a circle. It is usually abbreviated as C. C=πd or C = 2πr. Pi(π) ≈ 3.14 Area of a circle: A = πr2 Linear measurement: the distance on a straight line between two points.