AFOQT 2022 PREP EXAM WITH ACTUAL TEST.
Triangle Correct Answer: 3 internal angles add to 180, 3 sided
Angle Bisector Correct Answer: extends from one side to BISECT the opposing angle
Triangle altitude Correct Answer: the shortest distance from a vertex angle to the side containing the
base
Triangle Median Correct Answer: extends from one angle to BISECT the opposite side
Two centers of a triangle Correct Answer: Centroid or orthocenter
Centroid Correct Answer: Where the triangles 3 medians meet
Orthocenter Correct Answer: where the triangles 3 altitudes meet
Scalene triangle Correct Answer: no equal sides of angles
Isosceles Correct Answer: Has 2 equal sides and 2 equal angles often called base angles
Equilateral Triangle Correct Answer: All 3 sides and angles are equal 60 degrees
Right triangle Correct Answer: Has one right angle 90 and two acute angles
Acute triangle Correct Answer: all 3 angles less than 90
Obtuse Correct Answer: 2 acute and one angle greater then 90
Triangle inequality theorem Correct Answer: states that the sum of any two sides of a triangle must be
greater than the third side
Third-side rule of triangles Correct Answer: three sides, a, b, c. c-b < a < c+b
Pythagorean Theorem Correct Answer: The relationship 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 Correct Answer: Special right triangle. the hypotenuse
is equal to the square root of 2x
Right triangle with angle measurements 90-60-30 Correct Answer: Special right trianlge.hypotenuse is
2x. the short side is x and the long side is square root of 3x
Quadrilaterals Correct 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 Correct Answer: A quadrilateral with two pairs of equal side. Two consecutive sides in a
parallelogram are supplementary = 180
Rectangle Correct Answer: two pairs of equal sides and four right angles
Kite Correct Answer: two pairs of equal sides but the equal sides are consecutive
Square Correct Answer: 4 right angles and 4 equal sides
Rhombus Correct Answer: 4 equal sides. diagonals bisects angles and bisect one another
Trapezoid Correct Answer: One pair of sides is parallel
bases have different lengths
Polygons Correct 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 Correct 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 Correct Answer: the shortest PERPENDICULAR distance from one of the sides to the center
Area of Polygon Correct Answer: A = ap/2 (apothem x perimeter)
finding an interior angle of a polygon Correct Answer: (n-2)/n x 180
Area of Circle Correct Answer: A = Pie squared
Volume Correct Answer: describes as the amount of cubic units any shape can hold
Surface area Correct Answer: The sum of the areas of the 2 dimensional figures that make up its shape.
Slant height Correct Answer: The distance from the base to the apex along the lateral surface
Prism Correct Answer:
Topic Correct Answer: The overall subject matter of the passage
Main Idea Correct Answer: What the author wants to say about the topic
Standard rate turn Correct Answer: 360 degrees in 2 minutes at 3 degrees per second
Slipping turn Correct Answer: gravity is greater than the centrifugal force on the ball and thus it slips to
the inside
Triangle Correct Answer: 3 internal angles add to 180, 3 sided
Angle Bisector Correct Answer: extends from one side to BISECT the opposing angle
Triangle altitude Correct Answer: the shortest distance from a vertex angle to the side containing the
base
Triangle Median Correct Answer: extends from one angle to BISECT the opposite side
Two centers of a triangle Correct Answer: Centroid or orthocenter
Centroid Correct Answer: Where the triangles 3 medians meet
Orthocenter Correct Answer: where the triangles 3 altitudes meet
Scalene triangle Correct Answer: no equal sides of angles
Isosceles Correct Answer: Has 2 equal sides and 2 equal angles often called base angles
Equilateral Triangle Correct Answer: All 3 sides and angles are equal 60 degrees
Right triangle Correct Answer: Has one right angle 90 and two acute angles
Acute triangle Correct Answer: all 3 angles less than 90
Obtuse Correct Answer: 2 acute and one angle greater then 90
Triangle inequality theorem Correct Answer: states that the sum of any two sides of a triangle must be
greater than the third side
Third-side rule of triangles Correct Answer: three sides, a, b, c. c-b < a < c+b
Pythagorean Theorem Correct Answer: The relationship 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 Correct Answer: Special right triangle. the hypotenuse
is equal to the square root of 2x
Right triangle with angle measurements 90-60-30 Correct Answer: Special right trianlge.hypotenuse is
2x. the short side is x and the long side is square root of 3x
Quadrilaterals Correct 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 Correct Answer: A quadrilateral with two pairs of equal side. Two consecutive sides in a
parallelogram are supplementary = 180
Rectangle Correct Answer: two pairs of equal sides and four right angles
Kite Correct Answer: two pairs of equal sides but the equal sides are consecutive
Square Correct Answer: 4 right angles and 4 equal sides
Rhombus Correct Answer: 4 equal sides. diagonals bisects angles and bisect one another
Trapezoid Correct Answer: One pair of sides is parallel
bases have different lengths
Polygons Correct 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 Correct 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 Correct Answer: the shortest PERPENDICULAR distance from one of the sides to the center
Area of Polygon Correct Answer: A = ap/2 (apothem x perimeter)
finding an interior angle of a polygon Correct Answer: (n-2)/n x 180
Area of Circle Correct Answer: A = Pie squared
Volume Correct Answer: describes as the amount of cubic units any shape can hold
Surface area Correct Answer: The sum of the areas of the 2 dimensional figures that make up its shape.
Slant height Correct Answer: The distance from the base to the apex along the lateral surface
Prism Correct Answer:
Topic Correct Answer: The overall subject matter of the passage
Main Idea Correct Answer: What the author wants to say about the topic
Standard rate turn Correct Answer: 360 degrees in 2 minutes at 3 degrees per second
Slipping turn Correct Answer: gravity is greater than the centrifugal force on the ball and thus it slips to
the inside
