Proportions and Similarity
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
|
|
||||
---|---|---|---|---|---|
ratio | comparison of two quantities using division
🗑
|
||||
extended ratio | Used to compare 3 or more quantities, a:b:c
🗑
|
||||
proportion | an equation that states two ratios are equal
🗑
|
||||
cross products property | In a proportion, the product of the extremes equals the products of the means
🗑
|
||||
Equivalent Proportions | a/b=c/d; b/a=d/c; a/c=b/d; c/a=d/b
🗑
|
||||
similar polygons | 2 polygons are similar if and only if their corresponding angles are congruent and corresponding side lengths are proportional.
🗑
|
||||
scale factor | The ratio of the lengths of the corresponding sides of 2 similar polygons. It depends upon the order of comparison.
🗑
|
||||
Similarity and Congruence | If two polygons are congruent, they are similar. All of the corresponding angles are congruent and the lengths of the corresponding sides have a ratio of 1:1
🗑
|
||||
Identifying Similar Triangles | When only 2 congruent angles of a triangle are given, remember you can use the THIRD ANGLE THEOREM to establish that the remaining corresponding angles are also congruent.
🗑
|
||||
midsegment of a triangle | segment with endpoints that are the midpoints of two sides of the triangle. Every triangle has 3 midsegments.
🗑
|
Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
Created by:
amgeometry
Popular Math sets