For each part, copy the regular hexagonal region and follow the directions. (Answers for the first three parts are in the standard set of pattern blocks in the *"Masters," which can be found online at www.macmillanlearning.com/reconceptmath3e.) a. Cut the hexagonal region into three identical rhombi. b. Cut the hexagonal region into six equilateral triangles. c. Cut the hexagonal region into two isosceles trapezoids. d. Cut the hexagonal region into 12 identical right triangles. e. Cut the hexagonal region into six identical kites. f. Cut the hexagonal region into four identical trapezoids. 8. What are some quantities associated with a polygon? With a polygonal region? 9. You know that the sizes of all the angles in a triangle add up to 180°. Justify that the sum of the sizes of all the angles in every quadrilateral is 360°. Hint: Draw one diagonal. Does your justification work on quadrilaterals such as the one shown at the right? 10. Find the missing sizes of the angles marked for each quadrilateral. (Hint: See Learning Exercise 9.) 50° 109°i. b. a. 85° 780

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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How can problem 9 be solved?

For each part, copy the regular hexagonal region and follow the directions. (Answers
for the first three parts are in the standard set of pattern blocks in the *"Masters," which
can be found online at www.macmillanlearning.com/reconceptmath3e.)
a. Cut the hexagonal region into three identical rhombi.
b. Cut the hexagonal region into six equilateral
triangles.
c. Cut the hexagonal region into two isosceles
trapezoids.
d. Cut the hexagonal region into 12 identical
right triangles.
e. Cut the hexagonal region into six identical kites.
f. Cut the hexagonal region into four identical
trapezoids.
8.
What are some quantities associated with a polygon? With a polygonal region?
9. You know that the sizes of all the angles in a triangle add up to 180°.
Justify that the sum of the sizes of all the angles in every quadrilateral
is 360°. Hint: Draw one diagonal. Does your justification work on
quadrilaterals such as the one shown at the right?
10. Find the missing sizes of the angles marked for each quadrilateral. (Hint: See
Learning Exercise 9.)
50°
109°i.
b.
a. 85°
780
Transcribed Image Text:For each part, copy the regular hexagonal region and follow the directions. (Answers for the first three parts are in the standard set of pattern blocks in the *"Masters," which can be found online at www.macmillanlearning.com/reconceptmath3e.) a. Cut the hexagonal region into three identical rhombi. b. Cut the hexagonal region into six equilateral triangles. c. Cut the hexagonal region into two isosceles trapezoids. d. Cut the hexagonal region into 12 identical right triangles. e. Cut the hexagonal region into six identical kites. f. Cut the hexagonal region into four identical trapezoids. 8. What are some quantities associated with a polygon? With a polygonal region? 9. You know that the sizes of all the angles in a triangle add up to 180°. Justify that the sum of the sizes of all the angles in every quadrilateral is 360°. Hint: Draw one diagonal. Does your justification work on quadrilaterals such as the one shown at the right? 10. Find the missing sizes of the angles marked for each quadrilateral. (Hint: See Learning Exercise 9.) 50° 109°i. b. a. 85° 780
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