AFOQT questions with correct answers
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 distace 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
Rigth 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 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 Correct Answer-Special right
triangle. the hypotenuse is equal to the square root of 2x
Right triangle with angle measurments 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 distande 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 = PieRsquared
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 distace 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
Rigth 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 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 Correct Answer-Special right
triangle. the hypotenuse is equal to the square root of 2x
Right triangle with angle measurments 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 distande 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 = PieRsquared
