Mathematics for Elementary Teachers with Activities (5th Edition)
5th Edition
ISBN: 9780134392790
Author: Beckmann, Sybilla
Publisher: PEARSON
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Textbook Question
Chapter 14.3, Problem 1P
Suppose that Ada, Bada, and Cada are three cities and that Bada is 20 miles from Ada, Cada is 30 miles from Bada, and Ada is 40 miles from Cada. There are straight-line roads between Ada and Bada, Ada and Cada, and Bada and Cada.
- Draw a careful and precise map showing Ada, Bada, and Cada and the roads between them, using a scale of 10 miles to 1 inch. Describe how to use a compass to make a precise drawing.
- If you were to draw another map. or if you were to compare your map to a classmate's, how would they compare? In what ways might the maps differ? In what ways would they be the same? Which criterion for triangle congruence is most relevant to these questions?
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Assume {u1, U2, u3, u4} does not span R³.
Select the best statement.
A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set.
B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³.
C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set.
D. {u1, U2, u3} cannot span R³.
E. {U1, U2, u3} spans R³ if u̸4 is the zero vector.
F. none of the above
Select the best statement.
A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors
are distinct.
n
B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0
excluded spans Rª.
○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n
vectors.
○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors
spans Rn.
E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn.
F. none of the above
Assume {u1, U2, u3, u4} does not span R³.
Select the best statement.
A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set.
B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³.
C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set.
D. {u1, U2, u3} cannot span R³.
E. {U1, U2, u3} spans R³ if u̸4 is the zero vector.
F. none of the above
Chapter 14 Solutions
Mathematics for Elementary Teachers with Activities (5th Edition)
Ch. 14.1 - On graph paper, draw x-and y-axes, and draw two...Ch. 14.1 - On graph paper, draw x- and y-axes, and draw two...Ch. 14.1 - a. On graph paper, draw x -and y - axes, and draw...Ch. 14.1 - On graph paper, draw x -and y-axes, and draw two...Ch. 14.1 - Prob. 5PCh. 14.1 - On graph paper, draw x - and y-axes, and draw two...Ch. 14.1 - a. On graph paper, draw x- and y-axes, and plot...Ch. 14.1 - a. On graph paper, draw xand y-axes and plot the...Ch. 14.1 - a. On graph paper, draw xand y-axes and plot the...Ch. 14.1 - a. On graph paper, draw xand y-axes and plot the...
Ch. 14.1 - a. On graph paper, draw xand y-axes and plot the...Ch. 14.1 - a. On graph paper, draw xand y-axes and plot the...Ch. 14.1 - a. On graph paper, draw xand y-axes and plot the...Ch. 14.1 - Prob. 14PCh. 14.1 - On a piece of paper, draw a point Q and a separate...Ch. 14.1 - On a piece of paper, draw a point P and a separate...Ch. 14.1 - For each of the following transformations,...Ch. 14.1 - For each of the following transformations,...Ch. 14.1 - Describe what a reflection across the diagonal...Ch. 14.1 - Describe what a 90° counterclockwise rotation...Ch. 14.1 - Describe what a reflection across the diagonal...Ch. 14.1 - investigate the following questions, either with...Ch. 14.1 - Investigate the following questions, either with...Ch. 14.1 - Investigate the questions that follow, either with...Ch. 14.2 - Find examples of symmetrical designs from a...Ch. 14.2 - Determine all the symmetries of Design 1 and...Ch. 14.2 - Prob. 3PCh. 14.2 - Prob. 4PCh. 14.2 - Prob. 5PCh. 14.2 - Determthe at! the symmetries of Destgn 9 and...Ch. 14.2 - Prob. 7PCh. 14.2 - a. Determine all the symmetries of a square....Ch. 14.2 - Compare translation and translation symmetry ....Ch. 14.2 - Prob. 10PCh. 14.2 - Comapare (mathematical) reflection an reflection...Ch. 14.2 - Prob. 12PCh. 14.2 - Prob. 13PCh. 14.2 - Prob. 14PCh. 14.2 - Prob. 15PCh. 14.2 - Prob. 16PCh. 14.3 - Suppose that Ada, Bada, and Cada are three cities...Ch. 14.3 - Write a paragraph in which you discuss. In your...Ch. 14.3 - Is there a side side side side congruence...Ch. 14.3 - Is there an angle-angle-angle congruence criterion...Ch. 14.3 - Give your own example to explain why there is not...Ch. 14.3 - Prob. 7PCh. 14.3 - See Flour. 14.46 . We are given that sides DG and...Ch. 14.3 - See Figure 14.47 . Given that QR and TR are the...Ch. 14.3 - See the quadrilateral in Figure 14.48 . Given that...Ch. 14.3 - This problem continues the Investigation of CIass...Ch. 14.3 - Prob. 12PCh. 14.3 - Ann and Kelly are standing on a liver bank,...Ch. 14.3 - Prob. 14PCh. 14.3 - Here is an old-fashioned way to make a rectangular...Ch. 14.4 - a. Draw a ray with endpoint A. Use a straighedge...Ch. 14.4 - a. On a blank piece of paper, draw a ray with...Ch. 14.4 - a. Draw a rhombus that is naturally associated...Ch. 14.4 - On a piece of paper, draw a point P and a separate...Ch. 14.4 - On a piece of paper, draw a point Q and a separate...Ch. 14.4 - On a piece of paper, draw a line n and a point R...Ch. 14.4 - Use a straightedge and compass (but not a...Ch. 14.4 - Prob. 8PCh. 14.4 - Prob. 9PCh. 14.4 - Describe how to use a compass to construct the...Ch. 14.4 - a. Use a compass to draw a pattern of circles like...Ch. 14.4 - Prob. 12PCh. 14.4 - Prob. 13PCh. 14.4 - Prob. 14PCh. 14.5 - Using your own examples, discuss the mathematical...Ch. 14.5 - Frank’s dog, Fido, Is 16 Inches tall and 30 inches...Ch. 14.5 - Tyler’s Flag Problem: Tyler has designed his own...Ch. 14.5 - Jasmine’s Flag Problem: Jasmine has designed her...Ch. 14.5 - Kelsey wants to make a scale drawing of herself...Ch. 14.5 - A painting that is 4 feet 3 inches by 6 feet 4...Ch. 14.5 - Write two problems about similar shapes or...Ch. 14.5 - Prob. 8PCh. 14.5 - An art museum owns a painting that it would like...Ch. 14.5 - Cameras that use film produce a negative, which Is...Ch. 14.5 - If the map in Flgure 14.65 has a scale such that 1...Ch. 14.5 - Sue has a rectangular garden. If she makes her...Ch. 14.6 - a. If two shapes are congruent, are they also...Ch. 14.6 - Is there an angIe-angle-angle-angle similarity...Ch. 14.6 - Prob. 3PCh. 14.6 - After applying a dilation centered at O, the...Ch. 14.6 - Ms. Winstead’s class went outside on a sunny day...Ch. 14.6 - A Thumb Sighting Problem: Suppose you are looking...Ch. 14.6 - Explain and draw a picture to show how you could...Ch. 14.6 - Suppose you have a TV whose screen is 36 inches...Ch. 14.6 - Prob. 9PCh. 14.6 - A city has a large cone-shaped Christmas tree that...Ch. 14.6 - Prob. 11PCh. 14.6 - Prob. 12PCh. 14.6 - Prob. 13PCh. 14.6 - Prob. 14PCh. 14.6 - Prob. 15PCh. 14.7 - In triangle ADE shown In Flguro 14.92 , the point...Ch. 14.7 - A scale model is constructed for a domed baseball...Ch. 14.7 - Og, a giant mentioned in the Bible, might have...Ch. 14.7 - An artist plans to make a Iarge sculpture of a...Ch. 14.7 - According to one description, King Kong was 19...Ch. 14.7 - If you know the volume of an object in cubic...Ch. 14.7 - Suppose that a gasoline-powered engine has a gas...Ch. 14.7 - A cup has a circular opening and a circular base....
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