Presentation on theme: "Review Chapter 4. Ratio and Rates 4.1 Vocabulary Ratio – a comparison of two numbers by division. Rate – a comparison of two quantities with different."— Presentation transcript:
Review Chapter 4
Ratio and Rates 4.1
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.
Rate of Change 4.2
Vocabulary Rate of change – a rate that describes how one quantity changes in relation to another.
Rate of Change
Rate of Change Graphs
Vocabulary Slope – the rate of change between two points Rise – the vertical change Run – the horizontal change
Solving Proportions 4.4
Vocabulary Proportion – two ratios that are equivalent. Cross Products – the process of multiplying two ratios for comparison or solution.
Cross Products CROSS PRODUCTS:
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!
Similar Polygons 4.5
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
Properties of Similar Polygons
Scale Drawings and Models 4.6
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.
Indirect Measurement 4.7
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.
Vocabulary Dilation – the image produced by enlarging or reducing a figure