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Review Chapter 4

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Ratio and Rates 4.1

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**Vocabulary Ratio – a comparison of two numbers by division.**

Rate – a comparison of two quantities with different types of units Unit Rate – a rate that has been simplified so it has a denominator of 1.

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Rate of Change 4.2

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Vocabulary Rate of change – a rate that describes how one quantity changes in relation to another.

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Rate of Change

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Rate of Change Graphs

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Slope 4.3

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**Vocabulary Slope – the rate of change between two points**

Rise – the vertical change Run – the horizontal change

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Solving Proportions 4.4

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**Vocabulary Proportion – two ratios that are equivalent.**

Cross Products – the process of multiplying two ratios for comparison or solution.

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Proportion PROPORTION:

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Cross Products CROSS PRODUCTS:

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**Using Cross-Products To Solve**

Set your two proportions to be equal Use your cross-products to set up the equation Multiplication problem: Divide X equals your missing denominator!

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Similar Polygons 4.5

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Vocabulary Polygon – a simple closed figure in a plane formed by three or more line segments Similar – polygons that have the same shape Corresponding parts – parts of similar figures that “match” Congruent – angles that have the same measure Scale factor – the ratio of the lengths of two corresponding sides of two similar polygons

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**Properties of Similar Polygons**

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Similar Polygons

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Scale

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**Scale Drawings and Models**

4.6

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Vocabulary Scale drawing – a 2 dimensional representation of an object that is too large or too small to be drawn or built at actual size. Scale Model – a 3 dimensional representation of an object that is too large or too small to be drawn or built at actual size. Scale – the ratio of the given length on a drawing or model to its corresponding actual length. 1 inch = 4 feet 1:30 = 1 unit represents an actual distance of 30 units.

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Indirect Measurement 4.7

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Vocabulary Indirect measurement – the technique of using properties of similar polygons and proportions to find distances or lengths that can be difficult to measure directly.

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Shadow Reckoning

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Dilations 4.8

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Vocabulary Dilation – the image produced by enlarging or reducing a figure

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Scale Factor

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