How to use similar triangles to measure the height of objects.
How to relate corresponding altitudes, medians and angle bisectors in similar triangles.
How to determine if two triangles in a circle are similar and how to prove that three similar triangles exist in a right triangle with an altitude.
How to determine if two triangles are similar using a shortcut.
How to convert between length and area ratios of similar polygons
How to identify if two figures are similar.
How to classify a triangle based on its side lengths and angle measures.
How to identify if two solids are similar and how to convert 1D ratios to surface area and volume ratios.
How to prove two triangles are similar using a line parallel to a base.
How to derive the area of a triangle formula using the rectangle area formula.
How to apply the triangle angle sum theorem.
How to calculate the area of any triangle using two sides and an included angle.
How to identify a segment from the vertex angle in an isosceles triangle to the opposite side.
How to define a triangle midsegment and describe its special properties.
How to find the legs and hypotenuse in 30-60-90 triangles when given: the short leg, the long leg, or the hypotenuse.
How to define a midsegment in a triangle.
How to find the length of a leg or hypotenuse in a 45-45-90 triangle using the Pythagorean Theorem.
How to define isosceles triangles, their components and how to determine their properties.
How to determine the triangle side inequalities.
How to determine the relationship between the side inequalities and angle inequalities in a triangle.