AFOQT EXAM WITH 100% CORRECT ANSWERS 2025-2026
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 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 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 - ANSWER Special right triangle. the
hypotenuse is equal to the square root of 2x
Angle Measurements in a right triangle 90-60-30 ANSWER Special right triangle:
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 = 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 interior angles of polygons - ANSWER (n-2) x 180 where n is # of sides
the polygon has. To find one interior angle simply divide the total interior angles by the #
of sides and therefor angles
Apothem - ANSWER the shortest PERPEND
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 general subject the text is discussing
Main Idea - ANSWER What the author is trying to say about the topic
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 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 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 - ANSWER Special right triangle. the
hypotenuse is equal to the square root of 2x
Angle Measurements in a right triangle 90-60-30 ANSWER Special right triangle:
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 = 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 interior angles of polygons - ANSWER (n-2) x 180 where n is # of sides
the polygon has. To find one interior angle simply divide the total interior angles by the #
of sides and therefor angles
Apothem - ANSWER the shortest PERPEND
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 general subject the text is discussing
Main Idea - ANSWER What the author is trying to say about the topic
