Please enable JavaScript.
Coggle requires JavaScript to display documents.
Quadratics - Coggle Diagram
Quadratics
Solving by Factoring
Solving by using Quadratic Formula
Trigonometry
SOH CAH TOA
Similar Triangles
Sine and Cosine Law
Sine Cosine Tangent
Analytic Geometry
Midpoint Formula
Length of Line Formula
Median:
Find the side opposite the provided vertex's midpoint: To get the slope, use the midpoint and vertex. Using the slope and either the midpoint or the vertex, get b. Make an equation
.
Perpendicular Bisector: Find the midpoint of the side by which the right bisector passes. Determine the side's slope. Determine the perpendicular slope. Using the midpoint and perpendicular slope, find b. Make an equation.
Altitude:
Determine the slope of the side altitude that passes through. Find the slope that is perpendicular to the horizontal (negative reciprocal). Find b using the perpendicular slope and the vertex altitude. Make an equation.
Shortest Distance From a Point to a Line:
Find an equation for the line that goes through the given location while remaining perpendicular to the provided line. Determine the point of intersection (POI) between the perpendicular and the provided lines. Determine how far apart the two points are.
Special Products and Multiplying Binomials
COMPLETING THE SQUARE STEPS:
Isolate the x-terms.
Common factor the leading coefficient, ܽ, from the x terms
Divide the ܾb-value by 2, square it, and add the result on BOTH sides of the equation.
Factor the perfect square trinomial.
Simplify the other side of the equation and isolate it for y.
The resulting equation should be of the form y= a(x-h)^2+k
Factoring (All types)
2 terms - Common Factor; Difference of Squares
3 terms - Common Factor; Simple Trinomial; Complex Trinomial; Perfect Square Trinomial
More than 3 terms - Common Factor; Grouping