Mathematics for Elementary Teachers with Activities (5th Edition)

5th Edition

ISBN: 9780134392790

Author: Beckmann, Sybilla

Publisher: PEARSON

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Chapter 14.3, Problem 8P

See Flour. 14.46 . We are given that sides DG and DE are the same length and angles GDF and EDF are the same size.?

Chapter 14.3, Problem 8P, See Flour. 14.46 . We are given that sides DG and DE are the same length and angles GDF and EDF are
Figure 14.46 Which trlangle congruence criteria apply

Which triangle congruence criteria do you think you could apply to prove that triangles DEF and DGF are congruent? Write down your initial thoughts. (You may change your mind later.)
Explain why you can’t use SSS congruence to prove that triangles DEF and DGF are congruent even though it looks like sides EF and GF are the same length.
Use a congruence criterion to prove that sides EF and GF are the same length.

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Chapter 14.3, Problem 7P

Chapter 14.3, Problem 9P

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Chapter 14 Solutions

Mathematics for Elementary Teachers with Activities (5th Edition)

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. 14P Ch. 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. 3P Ch. 14.2 - Prob. 4P Ch. 14.2 - Prob. 5P Ch. 14.2 - Determthe at! the symmetries of Destgn 9 and...Ch. 14.2 - Prob. 7P Ch. 14.2 - a. Determine all the symmetries of a square....Ch. 14.2 - Compare translation and translation symmetry ....Ch. 14.2 - Prob. 10P Ch. 14.2 - Comapare (mathematical) reflection an reflection...Ch. 14.2 - Prob. 12P Ch. 14.2 - Prob. 13P Ch. 14.2 - Prob. 14P Ch. 14.2 - Prob. 15P Ch. 14.2 - Prob. 16P Ch. 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. 7P Ch. 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. 12P Ch. 14.3 - Ann and Kelly are standing on a liver bank,...Ch. 14.3 - Prob. 14P Ch. 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. 8P Ch. 14.4 - Prob. 9P Ch. 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. 12P Ch. 14.4 - Prob. 13P Ch. 14.4 - Prob. 14P Ch. 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. 8P Ch. 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. 3P Ch. 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. 9P Ch. 14.6 - A city has a large cone-shaped Christmas tree that...Ch. 14.6 - Prob. 11P Ch. 14.6 - Prob. 12P Ch. 14.6 - Prob. 13P Ch. 14.6 - Prob. 14P Ch. 14.6 - Prob. 15P Ch. 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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Solution Summary: The author explains that the ASA congruence criterion is used to prove triangles DEF and DGF. Since the two sides are equal, the SSS criteria cannot be used.

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Chapter 14 Solutions