P Preliminary Concepts 1 Line And Angle Relationships 2 Parallel Lines 3 Triangles 4 Quadrilaterals 5 Similar Triangles 6 Circles 7 Locus And Concurrence 8 Areas Of Polygons And Circles 9 Surfaces And Solids 10 Analytic Geometry 11 Introduction To Trigonometry A Appendix Chapter2: Parallel Lines
2.1 The Parallel Postulate And Special Angles 2.2 Indirect Proof 2.3 Proving Lines Parallel 2.4 The Angles Of A Triangle 2.5 Convex Polygons 2.6 Symmetry And Transformations 2.CR Review Exercises 2.CT Test Section2.5: Convex Polygons
Problem 1E: For Exercises 1 and 2, consider a group of regular polygons. As the number of sides of a regular... Problem 2E: For Exercises 1 and 2, consider a group of regular polygons. As the number of sides of a regular... Problem 3E: Given: ABDC, ADBC, AEFC, with angle measures as indicated Find: x, y and z Problem 4E: In pentagon ABCDE with BDE, find the measure of interior angle D. Problem 5E: Find the total number of diagonals for a polygon of n sides if: a n=5 b n=10 Problem 6E: Find the total number of diagonals for a polygon of n sides if: a n=6 b n=8 Problem 7E: Find the sum of the measures of the interior angles of a polygon of n sides if: a n=5 b n=10 Problem 8E: Find the sum of the measures of the interior angles of a polygon of n sides if: a n=6 b n=8 Problem 9E: Find the measure of each interior angle of a regular polygon of n sides if: a n=4 b n=12 Problem 10E: Find the measure of each interior angle of a regular polygon of n sides if: a n=6 b n=10 Problem 11E: Find the sum of the measures of the exterior angles of: a an equilateral triangle. b a rectangle... Problem 12E: Find the sum of the measures of the exterior angles of: a a pentagon. b an equiangular hexagon. Problem 13E: Find the measures of each exterior angle of a regular polygon of n sides if: a n=4 b n=12 Problem 14E: Find the measures of each exterior angle of a regular polygon of n sides if: a n=6 b n=10 Problem 15E: Find the number of sides for a polygon whose sum of the measures of its interior angles is: a 900 b... Problem 16E: Find the number of sides for a polygon whose sum of the measures of its interior angles is: a 1980 b... Problem 17E: Find the number of sides for a regular polygon whose measure of each interior angle is: a 108 b 144 Problem 18E: Find the number of sides for a regular polygon whose measure of each interior angle is: a 150 b 168 Problem 19E: Find the number of sides for a regular polygon whose exterior angles each measure: a 24 b 18 Problem 20E: Find the number of sides for a regular polygon whose exterior angles each measure: a 45 b 9 Problem 21E: What is the measure of each interior angle of a stop sign? Problem 22E: Lug bolts are equally spaced about the wheel to form the equal angles shown in the figure. What is... Problem 23E: In Exercises 23 to 28 , with P={allpolygons} as the universe, draw a Venn Diagram to represent the... Problem 24E Problem 25E Problem 26E Problem 27E Problem 28E Problem 29E: Given: Quadrilateral RSTQ with exterior s at R and T. Prove: m1+m2=m3+m4 Problem 30E: Given: Regular hexagon ABCDEF with diagonal AC and exterior 1. Prove: m2+m3=m1 Problem 31E: Given: Quadrilateral RSTV with diagonals RT and SV intersecting at W Prove: m1+m2=m3+m4 Problem 32E: Given: Quadrilateral ABCD with BAAD and BCDC Prove: s B and D are supplementary. Problem 33E: A father wishes to make a baseball home plate for his son to use while practicing pitching. Find the... Problem 34E: The adjacent interior and exterior angles of a polygon are supplementary, as indicated in the... Problem 35E: Find the measure of each a acute interior angle of a regular pentagram b reflex interior angle of... Problem 36E: Find the measure of each a acute interior angle of a regular octagram b reflex interior angle of the... Problem 37E: Consider any regular polygon; find and join in order the midpoints of the sides. What does intuition... Problem 38E: Consider a regular hexagon RSTUVW. What does intuition tell you about RTV, the result of drawing... Problem 39E: The face of a clock has the shape of a regular polygon with 12 sides. What is the measure of the... Problem 40E: The top surface of a picnic table is in the shape of a regular hexagon. What is the measure of the... Problem 41E Problem 42E: For the concave quadrilateral ABCD, explain why the sum of the measures of the interior angles is... Problem 43E: If mA=20, mB=88 and mC=31, find the measure of the reflex angle at vertex D. Hint: See Exercise 42. Problem 44E: Is it possible for a polygon to have the following sum of measures for its interior angles? a 600 b... Problem 45E: Is it possible for a regular polygon to have the following measures for each interior angle? a 96 b... Problem 46E: Draw a concave hexagon that has: a one interior reflex angle. b two interior reflex angles. Problem 47E: Draw a concave pentagon that has: a one interior reflex angle. b two interior reflex angles. Problem 48E: For concave pentagon ABCDE, find the measure of the reflex angle at vertex E if mA=mD=x, mB=mC=2x,... Problem 49E: For concave hexagon HJKLMN, mH=y and the measure of reflex angle at N is 2(y+10). Find the measure... Problem 50E: In concave hexagon HJKLMN, mH=72. Exterior angles at J and L arc formed by extensions of HJ and ML.... Problem 40E: The top surface of a picnic table is in the shape of a regular hexagon. What is the measure of the...
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