1.)A proportion is a statement that two ratios or rates are equal. It expresses the relationship between two quantities or sets of data, typically represented as a fraction or a percentage. In simpler terms, a proportion is a comparison of two values or quantities in relation to each other.
2.)Proportion and rate are related concepts, but they are not exactly the same. A proportion is a statement that two ratios are equal, while a rate is a comparison of two quantities with different units of measure, usually expressed as a ratio.
For example, the proportion "2/4 = 1/2" states that the ratio of 2 to 4 is equal to the ratio of 1 to 2. On the other hand, a rate might be expressed as "5 miles per hour" or "3 liters per minute," indicating the amount of distance or volume covered per unit of time.
In summary, proportions compare two ratios to each other, while rates compare two quantities with different units of measure.
3) Two polygons are said to be similar if they have the same shape but different sizes. In other words, the corresponding angles of the two polygons are equal, and the corresponding sides are proportional. To show that two polygons are similar, you can either show that all corresponding angles are equal, or that at least two pairs of corresponding sides are proportional and the included angles between those sides are equal.
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Answer:
1.)A proportion is a statement that two ratios or rates are equal. It expresses the relationship between two quantities or sets of data, typically represented as a fraction or a percentage. In simpler terms, a proportion is a comparison of two values or quantities in relation to each other.
2.)Proportion and rate are related concepts, but they are not exactly the same. A proportion is a statement that two ratios are equal, while a rate is a comparison of two quantities with different units of measure, usually expressed as a ratio.
For example, the proportion "2/4 = 1/2" states that the ratio of 2 to 4 is equal to the ratio of 1 to 2. On the other hand, a rate might be expressed as "5 miles per hour" or "3 liters per minute," indicating the amount of distance or volume covered per unit of time.
In summary, proportions compare two ratios to each other, while rates compare two quantities with different units of measure.
3) Two polygons are said to be similar if they have the same shape but different sizes. In other words, the corresponding angles of the two polygons are equal, and the corresponding sides are proportional. To show that two polygons are similar, you can either show that all corresponding angles are equal, or that at least two pairs of corresponding sides are proportional and the included angles between those sides are equal.