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Exam (elaborations)

AFOQT VERIFIED TEST

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AFOQT VERIFIED TEST Triangle - ANSWER 3 internal angles add to 180, 3 sided Angle Bisector - ANSWER extends from one side to BISECT the opposing angle Triangle altitude - ANSWER the shortest distace from a vertex angle to the side containing the base Triangle Median - ANSWER extends from one angle to BISECT the opposite side Two centers of a triangle - ANSWER Centroid or orthocenter Centroid - ANSWER Where the triangles 3 medians meet Orthocenter - ANSWER where the triangles 3 altitudes meet Scalene triangle - ANSWER no equal sides of angles Isosceles - ANSWER Has 2 equal sides and 2 equal angles often called base angles Equilateral Triangle - ANSWER All 3 sides and angles are equal 60 degrees Rigth triangle - ANSWER Has one right angle 90 and two acute angles Acute triangle - ANSWER all 3 angles less than 90 Obtuse - ANSWER 2 acute and one angle greater then 90 Triangle inequality theorem - ANSWER states that the sum of any two sides of a triangle must be greater than the third side Third-side rule of triangles - ANSWER three sides, a, b, c. c-b < a < c+b Pythagorean Theorem - ANSWER The relatioship between the sides of a right triangle is a2 + b2 = c2 (all squared) where c is the hypotenuse and is across from the right angle. Right triangle with angle measurements 90-45-45 - ANSWER Special right triangle. the hypotenuse is equal to the square root of 2x Right triangle with angle measurments 90-60-30 - ANSWER Special right enuse is 2x. the short side is x and the long side is square root of 3x Quadrilaterals - ANSWER A closed, 4 sided shape. The sum of all 4 sides is always equal to 360. The AREA of quadrilateral is always A= bh (base time height) Parallelogram - ANSWER A quadrilateral with two pairs of equal side. Two consecutive sides in a parallelogram are supplementary = 180 Rectangle - ANSWER two pairs of equal sides and four right angles Kite - ANSWER two pairs of equal sides but the equal sides are consecutive Square - ANSWER 4 right angles and 4 equal sides Rhombus - ANSWER 4 equal sides. diagonals bisects angles and bisect one another Trapezoid - ANSWER One pair of sides is parallel bases have different lengths Polygons - ANSWER Any closed shape made up of 3 or more line segments. Hexagon = 6, Octagon = 8 The sum of all exterior angles in a polygon is 360 Finding the sum of the interior angles of polygons - ANSWER (n-2) x 180 where n is the number of sides the polygon has. To find a single interior angle simply divide the total interior angles by the # of sides and therefor angles Apothem - ANSWER the shortest PERPENDICULAR distande from one of the sides to the center Area of Polygon - ANSWER A = ap/2 (apothem x perimeter) finding an interior angle of a polygon - ANSWER (n-2)/n x 180 Area of Circle - ANSWER A = PieRsquared Volume - ANSWER describes as the amount of cubic units any shape can hold Surface area - ANSWER The sum of the areas of the 2 dimensional figures that make up its shape. Slant height - ANSWER The distance from the base to the apex along the lateral surface Prism - ANSWER Topic - ANSWER The overal

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Uploaded on
April 28, 2024
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Written in
2023/2024
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