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AFOQT - Questions With Detailed Answers (100% Correct)
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AFOQT - Questions With Detailed Answers (100%Correct)
Triangle - ✔️ 3 internal angles add to 180, 3 sided
Angle Bisector - ✔️ extends from one side to BISECT the
opposing angle
Triangle altitude - ✔️ the shortest distace from a vertex angle to
the side containing the base
Triangle Median - ✔️ extends from one angle to BISECT the
opposite side
Two centers of a triangle - ✔️ Centroid or orthocenter
Centroid - ✔️ Where the triangles 3 medians meet
Orthocenter - ✔️ where the triangles 3 altitudes meet
Scalene triangle - ✔️ no equal sides of angles
Isosceles - ✔️ Has 2 equal sides and 2 equal angles often called
base angles
Equilateral Triangle - ✔️ All 3 sides and angles are equal 60
degrees
Rigth triangle - ✔️ Has one right angle 90 and two acute angles
Acute triangle - ✔️ all 3 angles less than 90
Obtuse - ✔️ 2 acute and one angle greater then 90
Triangle inequality theorem - ✔️ states that the sum of any two
sides of a triangle must be greater than the third side
Third-side rule of triangles - ✔️ three sides, a, b, c. c-b < a < c+b
,Pythagorean Theorem - ✔️ 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 - ✔️ Special
right triangle. the hypotenuse is equal to the square root of 2x
Right triangle with angle measurments 90-60-30 - ✔️ Special
right trianlge.hypotenuse is 2x. the short side is x and the long side is
square root of 3x
Quadrilaterals - ✔️ 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 - ✔️ A quadrilateral with two pairs of equal side.
Two consecutive sides in a parallelogram are supplementary = 180
Rectangle - ✔️ two pairs of equal sides and four right angles
Kite - ✔️ two pairs of equal sides but the equal sides are
consecutive
Square - ✔️ 4 right angles and 4 equal sides
Rhombus - ✔️ 4 equal sides. diagonals bisects angles and bisect
one another
Trapezoid - ✔️ One pair of sides is parallel
bases have different lengths
Polygons - ✔️ 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 - ✔️ (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 - ✔️ the shortest PERPENDICULAR distande from one
of the sides to the center
Area of Polygon - ✔️ A = ap/2 (apothem x perimeter)
finding an interior angle of a polygon - ✔️ (n-2)/n x 180
Area of Circle - ✔️ A = PieRsquared
Volume - ✔️ describes as the amount of cubic units any shape can
hold
Surface area - ✔️ The sum of the areas of the 2 dimensional
figures that make up its shape.
Slant height - ✔️ The distance from the base to the apex along the
lateral surface
Prism - ✔️
Topic - ✔️ The overall subject matter of the passage
Main Idea - ✔️ What the author wants to say about the topic
Standard rate turn - ✔️ 360 degrees in 2 minutes at 3 degrees per
second
Slipping turn - ✔️ gravity is greater than teh centrifugal force on
the ball and thus it slips to the inside
Skidding turn - ✔️ Centrifugal force in greater than gravity and
therefor the ball moves to the outside of the coordinator.
Agonic vs Isogonic Lines - ✔️ Agonic is when variation is 0
Isogonic is when Magnetic variation is either greater or less then 0
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