STEM entrance exam (math)

• Heron's Formula states that if the lengths of the sides of a triangle are a, b, c, then its area is equal to half the product of any three side lengths minus the semiperimeter s multiplied by itself.
• Circle is form of cutting plane parallel to the conic section, and define as LOCUS OF POINTS that are equidistance from a fix point.
• Diameter of circle is chord passing through the center.
• The center of circle is called CENTER.
• Radius is the fixed distance of the circle.
• Parabola is the LOCUS OF ALL POINTS in the plane, such that they are always equidistant from the fixed point and fixed line.
• Focus is the fixed point of the parabola.
• Directrix is the fixed line of the parabola.
• Latus rectum is the perpendicular segment between vertex and directrix.
• Axis of the symmetry the line passing through the focus and the perpendicular to the axis of the symmetry.
• Ellipse it is a set of all points in a plane such that the sum of the distances from the fixed point is a constant "a" .
• Foci plural form of the focus, and the fixed point of ellipse.
• Latera recta plural of latus rectum, it is the line segment passing to the foci and perpendicular to the major axis.
• Hyperbola it is the set of all points of a plane such that the difference of each distances from the 2 fixed points is constant "a".
• Transverse axis is a line segment passing through the center and connecting the vertices.
• Conjugate axis is a line passing through center of hyperbola and asymptotic to the curves.
• Asymptotes a line passing through the center of the hyperbole and asymptotic to the curves.
• Directrix is the fixed line of the parabola.