MATHEMATICS FOR ELEM. TEACHING CUSTOM
LATEST Edition
ISBN: 9781323689011
Author: Beckmann
Publisher: Pearson Custom Publishing
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Textbook Question
Chapter 10.4, Problem 19P
Use the idea of walking and turning around a shape to determine the sum of the exterior angles of the quadrilateral in Figure 10.93 . In other words. Determine e + f + g + h . Measure with a protractor to check that your formula is correct for this quadrilateral.
Figure 10.93 A quadrilateral
- Will there be a similar formula for the sum of the exterior angles of pentagons, hexagons, 7-gons (also known as heptagons), octagons, and so on? Explain.
- Using your formula for the sum of the exterior angles of a quadrilateral, deduce the sum of the interior angles of the quadrilateral. In other words. find a + b + c + d, as pictured in Figure 10.93 . Explain your reasoning. Measure with a protractor to verify that your formula is correct for this quadrilateral.
- Based on your work, what formula would you expect to be true for the sum of the interior angles of a pentagon? What about for hexagons? What about for a
polygon with n sides? Explain briefly
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Chapter 10 Solutions
MATHEMATICS FOR ELEM. TEACHING CUSTOM
Ch. 10.1 - Tiffany says that the angle at A in Figure 10.29...Ch. 10.1 - Given that the indicated lines in Figure 10.30(a)...Ch. 10.1 - Given that the indicated lines in Figure 10.30 (b)...Ch. 10.1 -
Ch. 10.1 - Ed the robot is standing at point A and will walk...Ch. 10.1 - Draw a map that shows the following route leading...Ch. 10.1 - In your own words, give a clear, logical...Ch. 10.1 - Figure 10.33 shows a rectangle subdivided into...Ch. 10.1 - Given that the lines In Flgure 10.34 marked with...Ch. 10.1 - Determine the sum a+b+c+d+e+f of the angles in the...
Ch. 10.1 - Given that the lines marked with arrows in Flgure...Ch. 10.1 - Determine the sum of the angles at the star...Ch. 10.2 - Figure 10.46 9 depicts sun rays traveling toward 3...Ch. 10.2 - Figure. 10.48 shows a cross-section of Joey's toy...Ch. 10.2 - Figure. 10.49 shows a sketch of a room that has a...Ch. 10.2 - Many people mistakenly believe that the seasons...Ch. 10.2 - Refer to Figure 10.50 , 10.51 , 10.52 , and 10.53...Ch. 10.2 - 'Department store dressing rooms often have large...Ch. 10.2 - 'A concave mirror is a mirror that curves In, like...Ch. 10.2 - A convex mirror Is a minor that curves out, so...Ch. 10.2 - A convex mirror is a mirror that curves out, so...Ch. 10.3 - Smallville Is 7 miles south of Gotham. will is 8...Ch. 10.3 - A new mall is to be built to serve the towns of...Ch. 10.3 - A radio beacon indicates thata certain dolphin is...Ch. 10.3 - A new Giant Superstore is being planned somewhere...Ch. 10.3 - Part 1 of Class Actlvlty 10O on circle designs...Ch. 10.4 - Students sometimes get confused about the...Ch. 10.4 - Draw a Venn diagram or other clear diagram showing...Ch. 10.4 - Draw a Venn diagram or other clear diagram that...Ch. 10.4 - a. Describe how four children could use 4 pieces...Ch. 10.4 - Figure 10.85 shows a method for constructing...Ch. 10.4 - a. Fold and cut paper to make an isosceles...Ch. 10.4 - Draw a line segment AB that is 4 inches long. Now...Ch. 10.4 - a. Use a ruler and compass to help you draw a...Ch. 10.4 - Is there a triangle that has one side of length 4...Ch. 10.4 - Create two different rhombuses, both of which have...Ch. 10.4 - Prob. 11PCh. 10.4 - In a paragraph, discuss how the detinition of...Ch. 10.4 - Give instructions telling Robot Rob how to move...Ch. 10.4 - Give instructions telling Automaton Annie how to...Ch. 10.4 - a. Flgure 10.87 shows 3 pairs of parallel line...Ch. 10.4 - a. Given a parallelogram with angles a, b, c. and...Ch. 10.4 - What is wrong with the diagram for the problem In...Ch. 10.4 - Given a right triangle that has angles a, b, and...Ch. 10.4 - Use the idea of walking and turning around a shape...Ch. 10.4 - a. Determine the angles in a regular pentagon....
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- Use Figures 5.20 and 5.21 to prove Lemma 5.4.3. Lemma 5.4.3 The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.arrow_forwardUse Figure 5.19 to prove Theorem 5.4.2. Theorem 5.4.2 The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.arrow_forwarda Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.arrow_forward
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