Glencoe Geometry Chapter 7 Flashcards
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Questions and Answers

What are the cross products in the proportion $\frac{a}{b} = \frac{c}{d}$?

  • ab
  • ad (correct)
  • cd
  • bc (correct)
  • 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?

    <p>A segment with endpoints that are the midpoints of two sides of a triangle.</p> Signup and view all the answers

    What does proportion mean in mathematical terms?

    <p>An equation of the form $\frac{a}{b} = \frac{c}{d}$ that states two ratios are equal.</p> Signup and view all the answers

    What is a ratio?

    <p>A comparison of two quantities using division.</p> Signup and view all the answers

    What is a scale factor?

    <p>The ratio of the lengths of two corresponding sides of two similar polygons or two similar solids.</p> Signup and view all the answers

    What are similar polygons?

    <p>Polygons that have the same shape but may be different in size.</p> Signup and view all the answers

    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.

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