Similar Polygons
1 hr 3 min 24 Examples
- Introduction to similar polygons
- Overview of the topic including properties of proportions
- Solve each proportion (Examples #1-3)
- Write the ratio as a fraction in simplest form (Examples #4-7)
- Determine whether the proportion is true or false (Examples #8-13)
- Using the diagram and given proportion find the unknown length (Examples #14)
- Using the diagram and given proportion find the unknown length (Examples #15-16)
- Overview of scale factor
- Determine if the polygons are similar. If yes, find the scale factor (Examples #17-22)
- Find the indicated measures for the given problems (Examples #23-24)
AA Postulate
45 min 11 Examples
- Introduction AA Similarity for Triangles
- Overview of AA Similarity Postulate (Examples #1-4)
- Given AA similarity, find the altitude or indicated side length (Examples #5-7)
- Given AA similarity, solve for x and y (Examples #8-9)
- Write a two-column proof using the AA similarity postulate for triangles (Examples #10-11)
Triangle Theorems
1 hr 16 min 23 Examples
- Introduction SSS and SAS Similarity Postulates
- Overview of Proportionality Statements for Segments Parallel to a Side of a Triangle
- Find the value of x given similar triangles (Examples #1-6)
- Given three parallel lines cut by two transversals, find the value of x (Example #7)
- Overview of SSS and SAS Similarity Postulates and Similarity Theorems
- Determine whether the triangles are similar, and create a similarity statement (Examples #8-12)
- Find the unknown value given similar triangles (Examples #13-18)
- Find the unknown value or create the proportion for finding perimeter (Examples #19-21)
- Given similar triangles, find the perimeter (Examples #22-23)
Chapter Test
1 hr 8 min 24 Practice Problems
- Given similar polygons, find the missing side length and scale factor (Problems #1-5)
- Decide whether the triangles can be proved similar. Write a similarity statement (Problems #6-9)
- Find the value of each variable given similar triangles (Problems #10-15)
- Find the value of each variable given similar triangles (Problems #16-18)
- Find the perimeter given similar triangles (Problems #19-21)
- Find the ratio or perimeters given midpoints of similar triangles (Problem #22)
- Complete the two-column proofs for similar triangles (Problems #23-24)