Geometry

Slope

measures the steepness and direction of a line

equation

an algebraic formula that describes the relationships between dimensions in geometry (like area, volume, or perimeter), or an explicit formula used to generate a geometric sequence

point slope form

y = k + m(x - h) or y - y₁ = m(x - x₁)

Plane

a perfectly flat, two-dimensional surface that extends infinitely in all directions

parellel

two or more coplanar, straight lines that never intersect, no matter how far they are extended

Prove

to provide a clear, logical, and undeniable argument that shows a specific statement must be true

Verticies

the points where two or more lines, line segments, or edges meet

Recipricol

two geometric figures or relationships that are inverted or flipped counterparts of each other

Opposite Recipricol

a number that is flipped upside down (reciprocal) and has its sign changed (opposite)

Perfect Squared

Number that represents total area of a geometric sqaure with an equal interger sides

Parabola

a U-shaped, symmetrical curve where any point on the curve is always the exact same distance away from a fixed point (called the focus) as it is from a fixed straight line (called the directrix)

Point slope form

a way to write equations of a line using slope an coordinates of a plane

complete the square

completing the square is an algebraic technique used to rewrite a quadratic equation from standard form (\(ax^2 + bx + c = 0\)) into vertex form (\(a(x-h)^2 + k = 0\))

Cavalieri Principal

is a geometric rule stating that if two 3D solids have the same height and the same cross-sectional area at every corresponding level, they have the identical volume. [1]

Directrix

line that together with a point caled focus, defines a parabola

Focus

Point together with lin called directrix

Vertex

exact point where 2 or more lines, edges, rays meet

Apex

highest point or top most vertext of a 2D or #D shapes; top of base