Questions and Answers
What are the cross products in the proportion $\frac{a}{b} = \frac{c}{d}$?
What are the extremes in the proportion $\frac{a}{b} = \frac{c}{d}$?
a and d
What are the means in the proportion $\frac{a}{b} = \frac{c}{d}$?
b and c
What is a midsegment in relation to a triangle?
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What does proportion mean in mathematical terms?
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What is a ratio?
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What is a scale factor?
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What are similar polygons?
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Study Notes
Proportions and Ratios
- Cross products in a proportion (a/b = c/d) are ad and bc; the proportion is valid if ad = bc.
- Extremes refer to the values a and d in the proportion, located at the upper left and lower right.
- Means denote the values b and c in the proportion, positioned at the lower left and upper right.
Triangle Properties
- A midsegment connects the midpoints of two sides of a triangle, forming new segments within the triangle.
Basic Definitions
- Proportion represents an equation a/b = c/d indicating that two ratios are equal.
- A ratio is defined as a division that compares two quantities.
Similarity and Scale
- The scale factor is the ratio of corresponding side lengths between two similar polygons or solids, determining how much one shape has been resized compared to another.
- Similar polygons maintain the same shape but can differ in size, highlighting their proportionality in dimensions.
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Description
Dive into Chapter 7 of Glencoe Geometry with these flashcards focused on essential definitions such as cross products, extremes, means, and midsegments. Perfect for reinforcing key concepts and preparing for assessments.
