©BRIGHTSTARS EXAM SOLUTIONS
11/15/2024 11:57 AM
AFOQT Exam Study Guide.
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
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, ©BRIGHTSTARS EXAM SOLUTIONS
11/15/2024 11:57 AM
Right triangle with angle measurments 90-60-30 - answer✔Special right
trianlge.hypotenuse 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
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, ©BRIGHTSTARS EXAM SOLUTIONS
11/15/2024 11:57 AM
Prism - answer✔
Topic - answer✔The overall subject matter of the passage
Main Idea - answer✔What the author wants to say about the topic
Standard rate turn - answer✔360 degrees in 2 minutes at 3 degrees per second
Slipping turn - answer✔gravity is greater than teh centrifugal force on the ball and thus it
slips to the inside
Skidding turn - answer✔Centrifugal force in greater than gravity and therefor the ball
moves to the outside of the coordinator.
Agonic vs Isogonic Lines - answer✔Agonic is when variation is 0
Isogonic is when Magnetic variation is either greater or less then 0
Runway end lights and edges lights - answer✔-Red lights, and outward from runway end
they are green to indicated the threshold.
-yellow edge lights in last 2000 feet or at half the distance of runway, whichever is less
July 2, 1900 - answer✔Zepplin makes it first flight
Oct 20, 1900 - answer✔The wright brothers make their first glider flight
Dec 17, 1903 - answer✔The wright brothers make their first powered, manned, heavier
than air controlled flight (lasted 12 seconds)
February 22, 1920 - answer✔The first transcontinental mail service is established from San
Francisco to New York
March 3, 1923 - answer✔The first non stop coast-tocoast airplane travels from New York
to San Diego
May 21, 1927 - answer✔Charles A. Lindbergh accomplishes the first nonstop flight across
the Atlantic Ocean
June 29, 1927 - answer✔The first trans-pacific flight travels from California to Hawaii
June 1, 1937 - answer✔Amelia Earhart is lost in route to Howland island from New Guinea
June 28, 1939 - answer✔Pan American Airways flies the first trans-Atlantic passenger flight
service
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11/15/2024 11:57 AM
AFOQT Exam Study Guide.
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
1|Page
, ©BRIGHTSTARS EXAM SOLUTIONS
11/15/2024 11:57 AM
Right triangle with angle measurments 90-60-30 - answer✔Special right
trianlge.hypotenuse 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
2|Page
, ©BRIGHTSTARS EXAM SOLUTIONS
11/15/2024 11:57 AM
Prism - answer✔
Topic - answer✔The overall subject matter of the passage
Main Idea - answer✔What the author wants to say about the topic
Standard rate turn - answer✔360 degrees in 2 minutes at 3 degrees per second
Slipping turn - answer✔gravity is greater than teh centrifugal force on the ball and thus it
slips to the inside
Skidding turn - answer✔Centrifugal force in greater than gravity and therefor the ball
moves to the outside of the coordinator.
Agonic vs Isogonic Lines - answer✔Agonic is when variation is 0
Isogonic is when Magnetic variation is either greater or less then 0
Runway end lights and edges lights - answer✔-Red lights, and outward from runway end
they are green to indicated the threshold.
-yellow edge lights in last 2000 feet or at half the distance of runway, whichever is less
July 2, 1900 - answer✔Zepplin makes it first flight
Oct 20, 1900 - answer✔The wright brothers make their first glider flight
Dec 17, 1903 - answer✔The wright brothers make their first powered, manned, heavier
than air controlled flight (lasted 12 seconds)
February 22, 1920 - answer✔The first transcontinental mail service is established from San
Francisco to New York
March 3, 1923 - answer✔The first non stop coast-tocoast airplane travels from New York
to San Diego
May 21, 1927 - answer✔Charles A. Lindbergh accomplishes the first nonstop flight across
the Atlantic Ocean
June 29, 1927 - answer✔The first trans-pacific flight travels from California to Hawaii
June 1, 1937 - answer✔Amelia Earhart is lost in route to Howland island from New Guinea
June 28, 1939 - answer✔Pan American Airways flies the first trans-Atlantic passenger flight
service
3|Page
