McDougal Littell Jurgensen Geometry: Student Edition Geometry
McDougal Littell Jurgensen Geometry: Student Edition Geometry
5th Edition
ISBN: 9780395977279
Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Publisher: Houghton Mifflin Company College Division
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Chapter E, Problem 11.7EX
To determine

To find: the ratio of area of ΔAOB and ΔCOD .

Expert Solution & Answer
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Answer to Problem 11.7EX

The ratio of area of ΔAOB and ΔCOD is 9:1 .

Explanation of Solution

Given information:

  ABCDin the given figure:

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter E, Problem 11.7EX

Calculation:

In ΔAOB and ΔCOD ,

  OAB=OCD   … (Alternate angle)

  OBA=ODC  … (Alternate angle)

By AA similarity criterion:

  ΔAOBΔCOD

It is known that, if two triangles are similar then the ratio of areas is equal to the square of ratio of corresponding sides.

  ar(ΔAOB)ar(ΔCOD)=(ABCD)2                   =(186)2                   =321                   =91

Therefore, the ratio of area of ΔAOB and ΔCOD is 9:1 .

Chapter E Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. E - Prob. 1.11EXCh. E - Prob. 2.1EXCh. E - Prob. 2.2EXCh. E - Prob. 2.3EXCh. E - Prob. 2.4EXCh. E - Prob. 2.5EXCh. E - Prob. 2.6EXCh. E - Prob. 2.7EXCh. E - Prob. 2.8EXCh. E - Prob. 2.9EXCh. E - Prob. 2.10EXCh. E - Prob. 2.11EXCh. E - Prob. 3.1EXCh. E - Prob. 3.2EXCh. E - Prob. 3.3EXCh. E - Prob. 3.4EXCh. E - Prob. 3.5EXCh. E - Prob. 3.6EXCh. E - Prob. 3.7EXCh. E - Prob. 3.8EXCh. E - Prob. 3.9EXCh. E - Prob. 3.10EXCh. E - Prob. 3.11EXCh. E - Prob. 3.12EXCh. E - Prob. 3.13EXCh. E - Prob. 4.1EXCh. E - Prob. 4.2EXCh. E - Prob. 4.3EXCh. E - Prob. 4.4EXCh. E - Prob. 4.5EXCh. E - Prob. 4.6EXCh. E - Prob. 4.7EXCh. E - Prob. 4.8EXCh. E - Prob. 4.9EXCh. E - Prob. 4.10EXCh. E - Prob. 4.11EXCh. E - Prob. 4.12EXCh. E - Prob. 4.13EXCh. E - Prob. 4.14EXCh. E - Prob. 5.1EXCh. E - Prob. 5.2EXCh. E - Prob. 5.3EXCh. E - Prob. 5.4EXCh. E - Prob. 5.5EXCh. E - Prob. 5.6EXCh. E - Prob. 5.7EXCh. E - Prob. 5.8EXCh. E - Prob. 5.9EXCh. E - Prob. 5.10EXCh. E - Prob. 5.11EXCh. E - Prob. 5.12EXCh. E - Prob. 6.1EXCh. E - Prob. 6.2EXCh. E - Prob. 6.3EXCh. E - Prob. 6.4EXCh. E - Prob. 6.5EXCh. E - Prob. 6.6EXCh. E - Prob. 6.7EXCh. E - Prob. 6.8EXCh. E - Prob. 6.9EXCh. E - Prob. 6.10EXCh. E - Prob. 6.11EXCh. E - Prob. 7.1EXCh. E - Prob. 7.2EXCh. E - Prob. 7.3EXCh. E - Prob. 7.4EXCh. E - Prob. 7.5EXCh. E - Prob. 7.6EXCh. E - Prob. 7.7EXCh. E - Prob. 7.8EXCh. E - Prob. 7.9EXCh. E - Prob. 7.10EXCh. E - Prob. 7.11EXCh. E - Prob. 7.12EXCh. E - Prob. 8.1EXCh. E - Prob. 8.2EXCh. E - Prob. 8.3EXCh. E - Prob. 8.4EXCh. E - Prob. 8.5EXCh. E - Prob. 8.6EXCh. E - Prob. 8.7EXCh. E - Prob. 8.8EXCh. E - Prob. 8.9EXCh. E - Prob. 8.10EXCh. E - Prob. 8.11EXCh. E - Prob. 8.12EXCh. E - Prob. 9.1EXCh. E - Prob. 9.2EXCh. E - Prob. 9.3EXCh. E - Prob. 9.4EXCh. E - Prob. 9.5EXCh. E - Prob. 9.6EXCh. E - Prob. 9.7EXCh. E - Prob. 9.8EXCh. E - Prob. 9.9EXCh. E - Prob. 9.10EXCh. E - Prob. 9.11EXCh. E - Prob. 9.12EXCh. E - Prob. 9.13EXCh. E - Prob. 9.14EXCh. E - Prob. 10.1EXCh. E - Prob. 10.2EXCh. E - Prob. 10.3EXCh. E - Prob. 10.4EXCh. E - Prob. 10.5EXCh. E - Prob. 10.6EXCh. E - Prob. 10.7EXCh. E - Prob. 10.8EXCh. E - Prob. 10.9EXCh. E - Prob. 10.10EXCh. E - Prob. 10.11EXCh. E - Prob. 10.12EXCh. E - Prob. 11.1EXCh. E - Prob. 11.2EXCh. E - Prob. 11.3EXCh. E - Prob. 11.4EXCh. E - Prob. 11.5EXCh. E - Prob. 11.6EXCh. E - Prob. 11.7EXCh. E - Prob. 11.8EXCh. E - Prob. 11.9EXCh. E - Prob. 11.10EXCh. E - Prob. 11.11EXCh. E - Prob. 11.12EXCh. E - Prob. 11.13EXCh. E - Prob. 11.14EXCh. E - Prob. 11.15EXCh. E - Prob. 11.16EXCh. E - Prob. 12.1EXCh. E - Prob. 12.2EXCh. E - Prob. 12.3EXCh. E - Prob. 12.4EXCh. E - Prob. 12.5EXCh. E - Prob. 12.6EXCh. E - Prob. 12.7EXCh. E - Prob. 12.8EXCh. E - Prob. 12.9EXCh. E - Prob. 12.10EXCh. E - Prob. 12.11EXCh. E - Prob. 12.12EXCh. E - Prob. 12.13EXCh. E - Prob. 12.14EXCh. E - Prob. 13.1EXCh. E - Prob. 13.2EXCh. E - Prob. 13.3EXCh. E - Prob. 13.4EXCh. E - Prob. 13.5EXCh. E - Prob. 13.6EXCh. E - Prob. 13.7EXCh. E - Prob. 13.8EXCh. E - Prob. 13.9EXCh. E - Prob. 13.10EXCh. E - Prob. 13.11EXCh. E - Prob. 13.12EXCh. E - Prob. 14.1EXCh. E - Prob. 14.2EXCh. E - Prob. 14.3EXCh. E - Prob. 14.4EXCh. E - Prob. 14.5EXCh. E - Prob. 14.6EXCh. E - Prob. 14.7EXCh. E - Prob. 14.8EXCh. E - Prob. 14.9EX
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