AFOQT Home Study Thorough Review Questions and
Complete Answers Updated 2025/2026
Major arc - correct answer greater than 180
Central angle - correct answer an angle with its vertex at the center of a
circle
Sector - correct answer part of a circle and its interior that is inside the
rays of a central angle
Inscribed angle - correct answer has a vertex on the circle and is formed
by two chords
Circumscribed angle - correct answer rays tangent to the circle and lies on
the outside
Formula for measurement of inscribed angle - correct answer (1/2) x the
central angle with the same points
Formula for measurement of angles outside of the circle - correct answer
pg. 67
Area of a sector - correct answer pg. 66
Length of an arc - correct answer pg. 66
,Formula for angles inside in the circle - correct answer pg.67
Formula for angle formed by tangent and secant - correct answer pg. 68
Area of a triangle - correct answer (1/2)*b*h
Angle bisector - correct answer extends from the side opposite an angle
to bisect that angle
Altitude (triangles) - correct answer shortest distance from a vertex to a
side
Median (triangles) - correct answer extends from and angle to bisect the
opposite side
Centroid - correct answer where a triangles three medians meet
Orthocenter - correct answer formed by the intersection of a triangle's 3
altitudes.
Third side rule - correct answer if b and c are two sides of a trianle, the the
measure of the third side a must be between the sum of the other two sides
and the difference of the other two sides: c - b < a < c + b
Special right triangles - correct answer 45-45-90: x, x, root (2)x
30-60-90: x, root (3)x, 2x
,Parallelogram - correct answer quadrilateral with two pairs of parallel
sides
Formula for the sum of interior angles - correct answer (n-2) * 180
Apothem - correct answer shortest distance from the polygons center to
one of the sides
Area of a polygon - correct answer (apothem)(perimeter)/2
Pg. 76
Sa/volume of prism/diagonal - correct answer pg. 78
Sa/volume of cube - correct answer pg.78
Sa/volume of sphere - correct answer pg. 78
Sa/volume of cylinder - correct answer pg. 78
Volume of cone - correct answer pg. 78
Sa/volume of pyramid - correct answer pg. 78
Elements are determined by number of... - correct answer protons
, Periodic trend for mass - correct answer increases right and down
Horizontal rows of periodic table correspond to what - correct answer
number of occupied shells
Isotopes - correct answer same elements with differing amounts of
neturons
Homogenous mixture - correct answer contents distributed uniformly in a
mixture
Heterogeneous mixture - correct answer contents distributed randomly in
a mixture
Liquid crystals (state) - correct answer can maintain shape as well as be
made to flow
Plasma (state) - correct answer gases in which electrons have been
stripped from their nuclei
Condensation - correct answer gas to liquid
Sublimation - correct answer solid to gas
Deposition - correct answer gas to solid
Reactants/reagents of combustion reaction - correct answer oxygen
reactant/ water and carbon dioxide products
Complete Answers Updated 2025/2026
Major arc - correct answer greater than 180
Central angle - correct answer an angle with its vertex at the center of a
circle
Sector - correct answer part of a circle and its interior that is inside the
rays of a central angle
Inscribed angle - correct answer has a vertex on the circle and is formed
by two chords
Circumscribed angle - correct answer rays tangent to the circle and lies on
the outside
Formula for measurement of inscribed angle - correct answer (1/2) x the
central angle with the same points
Formula for measurement of angles outside of the circle - correct answer
pg. 67
Area of a sector - correct answer pg. 66
Length of an arc - correct answer pg. 66
,Formula for angles inside in the circle - correct answer pg.67
Formula for angle formed by tangent and secant - correct answer pg. 68
Area of a triangle - correct answer (1/2)*b*h
Angle bisector - correct answer extends from the side opposite an angle
to bisect that angle
Altitude (triangles) - correct answer shortest distance from a vertex to a
side
Median (triangles) - correct answer extends from and angle to bisect the
opposite side
Centroid - correct answer where a triangles three medians meet
Orthocenter - correct answer formed by the intersection of a triangle's 3
altitudes.
Third side rule - correct answer if b and c are two sides of a trianle, the the
measure of the third side a must be between the sum of the other two sides
and the difference of the other two sides: c - b < a < c + b
Special right triangles - correct answer 45-45-90: x, x, root (2)x
30-60-90: x, root (3)x, 2x
,Parallelogram - correct answer quadrilateral with two pairs of parallel
sides
Formula for the sum of interior angles - correct answer (n-2) * 180
Apothem - correct answer shortest distance from the polygons center to
one of the sides
Area of a polygon - correct answer (apothem)(perimeter)/2
Pg. 76
Sa/volume of prism/diagonal - correct answer pg. 78
Sa/volume of cube - correct answer pg.78
Sa/volume of sphere - correct answer pg. 78
Sa/volume of cylinder - correct answer pg. 78
Volume of cone - correct answer pg. 78
Sa/volume of pyramid - correct answer pg. 78
Elements are determined by number of... - correct answer protons
, Periodic trend for mass - correct answer increases right and down
Horizontal rows of periodic table correspond to what - correct answer
number of occupied shells
Isotopes - correct answer same elements with differing amounts of
neturons
Homogenous mixture - correct answer contents distributed uniformly in a
mixture
Heterogeneous mixture - correct answer contents distributed randomly in
a mixture
Liquid crystals (state) - correct answer can maintain shape as well as be
made to flow
Plasma (state) - correct answer gases in which electrons have been
stripped from their nuclei
Condensation - correct answer gas to liquid
Sublimation - correct answer solid to gas
Deposition - correct answer gas to solid
Reactants/reagents of combustion reaction - correct answer oxygen
reactant/ water and carbon dioxide products
