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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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

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Question

Chapter 1.1, Problem 2WE

To determine

To sketch: a line which shows a set of points equidistant from F and T as shown in the figure below.

Expert Solution

Explanation of Solution

Given information: Points F, T and P are shown as below in the diagram and a sketch has to be made of a line that specifies a set of points which are equidistant from F and T.

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 1.1, Problem 2WE , additional homework tip 2

Sketch: Take a centimeter ruler and find a point midway between F and T and mark it. Now draw a line through that point perpendicular to the line joining F and T, which is the required line.

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 1.1, Problem 2WE , additional homework tip 3

Interpretation: The required line is equidistant from points F and T which can be checked using a centimeter ruler.

To determine

To sketch: a circle with radius 6 cm with center at P either by compass or freehand as shown in the figure below.

Expert Solution

Explanation of Solution

Given information: Points F, T and P are shown as below in the diagram and a sketch has to be made of a circle whose radius is 6 cm and the center is at P as shown below.

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 1.1, Problem 2WE , additional homework tip 5

Sketch: Use a ruler to set the distance from the point of the compass needle to the pencil's lead at 6 cm. Place the compass needle at P and rotate it about 360 degrees. The required object in the plane is a circle of radius 6 cm.

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 1.1, Problem 2WE , additional homework tip 6

Interpretation: The circle so formed has a radius of 6 cm which can be checked by a centimeter ruler.

To determine

To sketch: the points 6 cm from P which are equidistant from F and T as shown in the figure below,

Expert Solution

Explanation of Solution

Given information: Points F,T and P are shown as below in the diagram; it is to be found that how many points are equidistant from F and T and are also 6 cm away from P.

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 1.1, Problem 2WE , additional homework tip 8

Graph: Take a centimeter ruler and find a point midway between F and T and mark it. Now draw a line through that point perpendicular to the line joining F and T. Use a ruler to set the distance from the point of the compass needle to the pencil's lead at 6 cm. Place the compass needle at P and rotate it about 360 degrees. The required object in the plane is a circle of radius 6 cm.

So there are two points of intersection as a result.

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 1.1, Problem 2WE , additional homework tip 9

Interpretation: There are two points which are equidistant from F and T and also 6 cm away from P.

Chapter 1.1, Problem 1WE

Chapter 1.1, Problem 3WE

Chapter 1 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 1.1 - Prob. 1CE Ch. 1.1 - Prob. 2CE Ch. 1.1 - Prob. 3CE Ch. 1.1 - Prob. 4CE Ch. 1.1 - Prob. 5CE Ch. 1.1 - Prob. 6CE Ch. 1.1 - Prob. 7CE Ch. 1.1 - Prob. 8CE Ch. 1.1 - Prob. 1WE Ch. 1.1 - Prob. 2WE

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