Explanation Given: Point A where A is on the circle and the scale factor is 1 2 . Approach: A dilation from the plane to the plane with center O and scale factor r > 0 is a transformation that assigns to each point A in the plane the point A ′ such that O, A, and A ′ are collinear, O is not between A and A ′ , and O A ′ = r O A

A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)

12th Edition

ISBN: 9780321987297

Author: Rick Billstein, Shlomo Libeskind, Johnny Lott

Publisher: PEARSON

See similar textbooks

Concept explainers

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the se…

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integratio…

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects th…

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.

Videos

Question

Chapter 13.CR, Problem 21CR

To determine

To construct:

The image of a circle under dilation in point A, where A is on the circle and the scale factor is 12.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 13.CR, Problem 19CR

Chapter 13.CR, Problem 22CR

Chapter 13 Solutions

A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)

Ch. 13.1 - Prob. 1MC Ch. 13.1 - Prob. 3MC Ch. 13.1 - When a line is rotated about a point O, by angle ,...Ch. 13.1 - Prob. 6MC Ch. 13.1 - Prob. 7MC Ch. 13.1 - Prob. 8MC Ch. 13.1 - A drawing of a cube, shown in the following...Ch. 13.1 - Wall stenciling has been used to obtain an effect...Ch. 13.1 - Prob. 11MC Ch. 13.1 - Prob. 12MC

Ch. 13.1 - Prob. 13MC Ch. 13.1 - Prob. 14MC Ch. 13.1 - Prob. 15MC Ch. 13.1 - Prob. 16MC Ch. 13.1 - Prob. 19MC Ch. 13.1 - Prob. 1NAEP Ch. 13.1A - For each of the following, find the image of the...Ch. 13.1A - Construct the image BC under the translation...Ch. 13.1A - Find the coordinates of the image for each of the...Ch. 13.1A - Prob. 4A Ch. 13.1A - Prob. 7A Ch. 13.1A - Prob. 8A Ch. 13.1A - If y=2x+3 is the image of the line k under the...Ch. 13.1A - Prob. 10A Ch. 13.1A - Prob. 11A Ch. 13.1A - Prob. 12A Ch. 13.1A - a. Draw a line l and any two points A and B so...Ch. 13.1A - Prob. 14A Ch. 13.1A - Prob. 15A Ch. 13.1A - Prob. 16A Ch. 13.1A - Prob. 18A Ch. 13.1A - a. Use a drawing similar to Figure 19 to find the...Ch. 13.1A - Prob. 20A Ch. 13.1A - Prob. 21A Ch. 13.1A - Prob. 22A Ch. 13.1A - Prob. 23A Ch. 13.1A - Prob. 24A Ch. 13.1A - Prob. 26A Ch. 13.1B - Prob. 2A Ch. 13.1B - Prob. 3A Ch. 13.1B - Prob. 4A Ch. 13.1B - Prob. 7A Ch. 13.1B - Prob. 8A Ch. 13.1B - Prob. 9A Ch. 13.1B - Prob. 11A Ch. 13.1B - Prob. 12A Ch. 13.1B - Prob. 13A Ch. 13.1B - Prob. 14A Ch. 13.1B - Prob. 15A Ch. 13.1B - Find the equation of the image of the line y=3x1...Ch. 13.1B - Prob. 20A Ch. 13.1B - Prob. 21A Ch. 13.1B - Prob. 22A Ch. 13.2 - Prob. 1MC Ch. 13.2 - Prob. 2MC Ch. 13.2 - Prob. 3MC Ch. 13.2 - Prob. 4MC Ch. 13.2 - Prob. 5MC Ch. 13.2 - Prob. 6MC Ch. 13.2 - Andrea, a civil engineer, was asked to make a plan...Ch. 13.2 - Prob. 8MC Ch. 13.2 - Prob. 9MC Ch. 13.2 - Prob. 10MC Ch. 13.2 - Prob. 11MC Ch. 13.2 - Gloria claims that Sammis example in problem 14 is...Ch. 13.2 - Prob. 18MC Ch. 13.2 - Prob. 19MC Ch. 13.2 - Prob. 20MC Ch. 13.2 - Prob. 22MC Ch. 13.2 - Prob. 1NAEP Ch. 13.2 - Prob. 2NAEP Ch. 13.2 - Prob. 3NAEP Ch. 13.2A - Assessment 14-2A Describe how to find the image of...Ch. 13.2A - Prob. 2A Ch. 13.2A - Assessment 14-2A Determine the final result when...Ch. 13.2A - Prob. 4A Ch. 13.2A - Assessment 14-2A a. Refer to the following figure...Ch. 13.2A - Prob. 6A Ch. 13.2A - Assessment 14-2A Given ABC and its reflection...Ch. 13.2A - a. The word TOT is its own image when it is...Ch. 13.2A - Find the equation of the image of the line with...Ch. 13.2A - Prob. 10A Ch. 13.2A - Decide whether a reflection, a translation, a...Ch. 13.2A - a. Conjecture what the image of a point with...Ch. 13.2A - Prob. 16A Ch. 13.2A - Prob. 17A Ch. 13.2A - Prob. 18A Ch. 13.2A - Point P is the image of P not shown under a glide...Ch. 13.2A - Consider the glide reflection determined by the...Ch. 13.2B - Prob. 1A Ch. 13.2B - Prob. 2A Ch. 13.2B - Determine the final result when ABCis reflection...Ch. 13.2B - Prob. 4A Ch. 13.2B - Prob. 6A Ch. 13.2B - Prob. 7A Ch. 13.2B - Prob. 8A Ch. 13.2B - Prob. 9A Ch. 13.2B - Prob. 10A Ch. 13.2B - Prob. 11A Ch. 13.2B - Prob. 12A Ch. 13.2B - Prob. 13A Ch. 13.2B - Prob. 14A Ch. 13.2B - Prob. 15A Ch. 13.2B - In which line will the two intersecting circles...Ch. 13.2B - Prob. 18A Ch. 13.2B - If PQ is the image PQ not shown under a glide...Ch. 13.2B - Prob. 20A Ch. 13.2B - Prob. 21A Ch. 13.3 - Prob. 1MC Ch. 13.3 - Prob. 2MC Ch. 13.3 - Prob. 3MC Ch. 13.3 - Prob. 5MC Ch. 13.3 - Prob. 6MC Ch. 13.3 - Prob. 7MC Ch. 13.3 - Prob. 8MC Ch. 13.3 - Prob. 9MC Ch. 13.3 - Prob. 10MC Ch. 13.3 - Prob. 11MC Ch. 13.3 - Prob. 12MC Ch. 13.3 - Prob. 13MC Ch. 13.3 - Prob. 14MC Ch. 13.3 - Prob. 15MC Ch. 13.3 - Prob. 16MC Ch. 13.3 - Prob. 17MC Ch. 13.3A - In the following figures, describe a sequence of...Ch. 13.3A - Prob. 2A Ch. 13.3A - In each of the following drawings, find...Ch. 13.3A - Prob. 4A Ch. 13.3A - AB is the image of a candle AB produced by a box...Ch. 13.3A - Prob. 6A Ch. 13.3A - Prob. 7A Ch. 13.3A - a. Explain why in a coordinate system a dilation...Ch. 13.3A - Prob. 9A Ch. 13.3A - Prob. 10A Ch. 13.3A - Prob. 11A Ch. 13.3A - Prob. 12A Ch. 13.3B - Prob. 1A Ch. 13.3B - Prob. 2A Ch. 13.3B - Prob. 4A Ch. 13.3B - Prob. 5A Ch. 13.3B - Prob. 6A Ch. 13.3B - Prob. 7A Ch. 13.3B - Prob. 8A Ch. 13.3B - Prob. 9A Ch. 13.3B - Prob. 11A Ch. 13.3B - Prob. 12A Ch. 13.4 - The following figure is a partial tessellation of...Ch. 13.4 - Prob. 2MC Ch. 13.4 - Prob. 3MC Ch. 13.4 - Prob. 4MC Ch. 13.4 - Prob. 5MC Ch. 13.4 - Prob. 6MC Ch. 13.4 - Prob. 7MC Ch. 13.4 - Prob. 10MC Ch. 13.4 - Prob. 11MC Ch. 13.4 - Prob. 12MC Ch. 13.4 - Prob. 13MC Ch. 13.4 - Prob. 14MC Ch. 13.4 - A student asks if the image seen through a...Ch. 13.4 - Jillian wants to know why a regular pentagon will...Ch. 13.4 - Prob. 18MC Ch. 13.4 - Prob. 19MC Ch. 13.4 - Prob. 20MC Ch. 13.4 - Prob. 21MC Ch. 13.4 - Prob. 22MC Ch. 13.4 - What dilation, if any, allows a line with equation...Ch. 13.4 - Prob. 1NAEP Ch. 13.4A - Prob. 1A Ch. 13.4A - Prob. 2A Ch. 13.4A - Prob. 3A Ch. 13.4A - Prob. 4A Ch. 13.4A - Prob. 5A Ch. 13.4A - Prob. 6A Ch. 13.4A - The dual of a regular tessellation is the...Ch. 13.4A - Prob. 8A Ch. 13.4A - Prob. 9A Ch. 13.4B - Prob. 6A Ch. 13.4B - Prob. 7A Ch. 13.CR - Complete each of the following motions. a. A...Ch. 13.CR - Prob. 2CR Ch. 13.CR - Prob. 3CR Ch. 13.CR - Prob. 4CR Ch. 13.CR - Given that STAR in the figure shown is a...Ch. 13.CR - Prob. 6CR Ch. 13.CR - Given that SNOSWO in the following figure,...Ch. 13.CR - Prob. 8CR Ch. 13.CR - Prob. 9CR Ch. 13.CR - Prob. 10CR Ch. 13.CR - If a translation determined by (x,y)(x+3,y2) is...Ch. 13.CR - Prob. 12CR Ch. 13.CR - Prob. 13CR Ch. 13.CR - Prob. 14CR Ch. 13.CR - Prob. 15CR Ch. 13.CR - Prob. 16CR Ch. 13.CR - Prob. 17CR Ch. 13.CR - For each of the following cases, find the image of...Ch. 13.CR - Prob. 19CR Ch. 13.CR - Prob. 21CR Ch. 13.CR - On a 1-m equilateral triangle pool table, a ball...Ch. 13 - NOW TRY THIS In Figure 3 use a compass and...Ch. 13 - Prob. 2NT Ch. 13 - Prob. 3NT Ch. 13 - Prob. 5NT Ch. 13 - Prob. 8NT

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

To construct: The image of a circle under dilation in point A , where A is on the circle and the scale factor is 1 2 .

Solution Summary: The author explains how the image of a circle under dilation in point A, where A is on the circle and the scale factor is 12, is shown in figure 1.

Concept explainers

Videos

To construct:

The image of a circle under dilation in point A, where A is on the circle and the scale factor is 12.

Want to see the full answer?

Chapter 13 Solutions

To construct: The image of a circle under dilation in point A , where A is on the circle and the scale factor is 1 2 .

Solution Summary: The author explains how the image of a circle under dilation in point A, where A is on the circle and the scale factor is 12, is shown in figure 1.

Concept explainers

Videos

To construct: The image of a circle under dilation in point A, where A is on the circle and the scale factor is 12.

Want to see the full answer?

Chapter 13 Solutions

To construct:

The image of a circle under dilation in point A, where A is on the circle and the scale factor is 12.