SSS Similarity (Side-Side-Side Similarity) states that if all three pairs of corresponding sides of two triangles are proportional, then the two triangles are similar. This means they have the same shape but may differ in size. Understanding ratios and proportions is key to mastering SSS Similarity.
Match each term with its definition:
| Term | Definition |
|---|---|
| 1. Similar Triangles | A. A comparison of two quantities using division. |
| 2. Proportion | B. Triangles that have the same shape but different sizes. |
| 3. Ratio | C. Angles that occupy the same relative position at an intersection where a transversal crosses two lines. |
| 4. Corresponding Sides | D. An equation stating that two ratios are equal. |
| 5. Corresponding Angles | E. Sides in different triangles that are in the same relative position. |
Complete the paragraph using the words: proportional, SSS Similarity, similar, corresponding, sides.
Two triangles are said to be ________ if their ________ sides are ________. This is known as the ________ theorem. This means that the ratios of the lengths of the ________ sides are equal.
Explain, in your own words, why it's important to check ALL THREE sides when using SSS Similarity, rather than just two.
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