A student successfully completing this chapter should be able to do the following:
Develop a ratio and express it in simplest form.
Develop a proportion and solve for an unknown term in the proportion by using the cross-product property of proportions.
Express a given proportion in equivalent forms using the additional properties of proportions.
Understand and apply the concept of "scale factor" to similar figures.
State and apply the properties of similar polygons.
Use the AA Similarity Postulate, the SAS Similarity Theorem, and the SSS Similarity Theorem to prove triangles similar.
Use similar triangles to solve for information concerning segments or angles.
State and apply the relationships that exist when the altitude is drawn to the hypotenuse of a right triangle.
Determine the geometric mean between two numbers.
Apply the Triangle Proportionality Theorem and its converse.
Apply the Triangle Angle-Bisector Theorem.
Apply the relationships between scale factors, perimeters, and areas of similar figures.
To view several sample problems, Click here