Ratio- A ratio is a comparison of a number 2 and a nonzero number b using division.
Ratio are usually written in simplest form
An equation that states two ratios are equal is called a proportion
In the proportion a/b = c/d, the numbers b and c are called the means, of the proportion. The numbers a and d are called e extremes of the proportion.
Cross Product Property~ In a proportion, the product of the extremes is equal to the produce of the means.
7.2- Similar Polygons
Similarity- Two figures that have the same shape, but not necessarily the same size are called similar.
Similar Polygons- If corresponding angles are congruent and corresponding ice lengths are proportion;, then two polygons are similar.
Scale Factor- If two polygons are similar, then the ration of the side lengths of two polygons sides is called the scale factor.
Determining Similarity-
1) Check that corresponding angles are congruent
2) Check whether corresponding side lengths are proportional
Perimeters of Similar Polygons Theorem-
If two polygons are similar then the ratio of their perimeters is equal to the ratio of their corresponding side lengths
7.3- Angle- Angle Similarity
Angle- Angle Similarity Postulate- If two angles of one triangle are congruent to two angles of another triangle, then, the two triangles are similar
Symbols- If <k is congruent to <y and, <j is congruent to <x, then triangle jkl is similar to triangle xyz
The concept that challenged me the most was defiantly the similar polygons. I found it difficult to determine the discrepancies between the triangles, and to identify them as similar.
The concept that was the most rewarding to me was the ratios. I really liked to simplify ratios, and to dissect them all the way to the end.
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