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 10.3, Problem 2ST1
To determine

To construct: an angle of given measure and then construct its bisector.

Expert Solution & Answer
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Explanation of Solution

Given Information construct an angle RST having measure of 60° and its bisector is SQ .

Construction:

The following steps are to be followed for constructing an angle of 60° and to obtain its bisector. Constructing an angle of 60° involves constructing an equilateral triangle as explained below:

a. Construct a line segment ST of some definite length (say 5 cm).

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 10.3, Problem 2ST1 , additional homework tip  1

b. Now, using a compass and taking point S as the center and radius being equal to the measure of ST=5 cm, draw an arc as shown below:

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 10.3, Problem 2ST1 , additional homework tip  2McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 10.3, Problem 2ST1 , additional homework tip  3

c. Now, with T as center and the same radius, draw an arc which meets the first arc at point R. Joining the points R and S gives the line segment RS and the angle RST as 60° as shown below:

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 10.3, Problem 2ST1 , additional homework tip  4

d. Having constructed the given angle, draw an arc with S as center and any radius to meet RS and ST at B and A, respectively.

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 10.3, Problem 2ST1 , additional homework tip  5

e. Now, using a compass, with A as center and any radius, draw an arc as shown below. Repeat the same process for point B to meet the first arc at point Q.

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 10.3, Problem 2ST1 , additional homework tip  6

f. The line SQ joining points S and Q gives the angle bisector of RST .

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 10.3, Problem 2ST1 , additional homework tip  7

g. The obtained construction can be verified by using a protractor as below. The angle RSQ=QST=30° .

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 10.3, Problem 2ST1 , additional homework tip  8

Chapter 10 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 10.1 - Prob. 5WECh. 10.1 - Prob. 6WECh. 10.1 - Prob. 7WECh. 10.1 - Prob. 8WECh. 10.1 - Prob. 9WECh. 10.1 - Prob. 10WECh. 10.1 - Prob. 11WECh. 10.1 - Prob. 12WECh. 10.1 - Prob. 13WECh. 10.1 - Prob. 14WECh. 10.1 - Prob. 15WECh. 10.1 - Prob. 16WECh. 10.1 - Prob. 17WECh. 10.1 - Prob. 18WECh. 10.1 - Prob. 19WECh. 10.1 - Prob. 20WECh. 10.1 - Prob. 21WECh. 10.1 - Prob. 22WECh. 10.1 - Prob. 23WECh. 10.1 - Prob. 24WECh. 10.1 - Prob. 25WECh. 10.1 - Prob. 26WECh. 10.1 - Prob. 1MRECh. 10.1 - Prob. 2MRECh. 10.1 - Prob. 3MRECh. 10.1 - Prob. 4MRECh. 10.1 - Prob. 5MRECh. 10.1 - Prob. 6MRECh. 10.2 - Prob. 1CECh. 10.2 - Prob. 2CECh. 10.2 - Prob. 3CECh. 10.2 - Prob. 4CECh. 10.2 - Prob. 5CECh. 10.2 - Prob. 6CECh. 10.2 - Prob. 7CECh. 10.2 - Prob. 8CECh. 10.2 - Prob. 9CECh. 10.2 - Prob. 10CECh. 10.2 - Prob. 11CECh. 10.2 - Prob. 12CECh. 10.2 - Prob. 13CECh. 10.2 - Prob. 1WECh. 10.2 - Prob. 2WECh. 10.2 - Prob. 3WECh. 10.2 - Prob. 4WECh. 10.2 - Prob. 5WECh. 10.2 - Prob. 6WECh. 10.2 - Prob. 7WECh. 10.2 - Prob. 8WECh. 10.2 - 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Prob. 4ST1Ch. 10.3 - Prob. 5ST1Ch. 10.3 - Prob. 6ST1Ch. 10.3 - Prob. 7ST1Ch. 10.3 - Prob. 8ST1Ch. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 1MRECh. 10.3 - Prob. 2MRECh. 10.3 - Prob. 3MRECh. 10.3 - Prob. 1EXCh. 10.3 - Prob. 2EXCh. 10.4 - Prob. 1CECh. 10.4 - Prob. 2CECh. 10.4 - Prob. 3CECh. 10.4 - Prob. 4CECh. 10.4 - Prob. 5CECh. 10.4 - Prob. 6CECh. 10.4 - Prob. 7CECh. 10.4 - Prob. 1WECh. 10.4 - Prob. 2WECh. 10.4 - Prob. 3WECh. 10.4 - Prob. 4WECh. 10.4 - Prob. 5WECh. 10.4 - Prob. 6WECh. 10.4 - Prob. 7WECh. 10.4 - Prob. 8WECh. 10.4 - Prob. 9WECh. 10.4 - Prob. 10WECh. 10.4 - Prob. 11WECh. 10.4 - Prob. 12WECh. 10.4 - Prob. 13WECh. 10.4 - Prob. 14WECh. 10.4 - Prob. 15WECh. 10.4 - Prob. 16WECh. 10.4 - Prob. 17WECh. 10.4 - Prob. 18WECh. 10.4 - Prob. 19WECh. 10.4 - Prob. 20WECh. 10.4 - Prob. 21WECh. 10.5 - Prob. 1CECh. 10.5 - Prob. 2CECh. 10.5 - Prob. 3CECh. 10.5 - Prob. 4CECh. 10.5 - Prob. 5CECh. 10.5 - Prob. 6CECh. 10.5 - Prob. 7CECh. 10.5 - Prob. 8CECh. 10.5 - Prob. 9CECh. 10.5 - 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