How to convert between length and area ratios of similar polygons
How to identify if two solids are similar and how to convert 1D ratios to surface area and volume ratios.
How to derive the formula to calculate the area of a regular polygon.
How to identify if two figures are similar.
How to calculate the surface area of any pyramid, emphasizing regular polygons as bases.
How to write ratios to compare two quantities.
How to define a polygon, how to distinguish between concave and convex polygons, how to name polygons.
How to determine if two triangles are similar using a shortcut.
Naming polygons, classifying triangles, and classifying quadrilaterals
How to determine the number of diagonals in a polygon.
How to derive the area of a triangle formula using the rectangle area formula.
How to find the area of any parallelogram using rectangle area formulas.
How to derive the area of a segment formula.
How to find the sum of the exterior angles in a polygon and find the measure of one exterior angle in an equiangular polygon.
How to relate corresponding altitudes, medians and angle bisectors in similar triangles.
How to derive the formula to find the sum of angles in any polygon.
How to derive the formula to calculate the area of a circle.
How to compute the area of a parallelogram using a determinant.
How to define circumscribed and inscribed circles and polygons relative to each other.
How to define the apothem and center of a polygon; how to divide a regular polygon into congruent triangles.