Picture a regular polygon with 18 sides. Show ALL work for each solution. Answers without work will not receive full cre

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Picture A Regular Polygon With 18 Sides Show All Work For Each Solution Answers Without Work Will Not Receive Full Cre 1 (74.9 KiB) Viewed 21 times

Picture a regular polygon with 18 sides. Show ALL work for each solution. Answers without work will not receive full credit. Use formulas derived in class (do not use formulas you googled, and you cannot derive). 2-D a) Find all the lines of symmetry. How many lines of symmetry are there? (1 pt) lines of symmetry b) Does the figure have rotational symmetry? If yes, how many rotations or how many degrees? (3 pts) Circle one: Yes / No rotations degrees c) Knowing the figure is regular find the measure of the sum of all interior (vertex) angles. (1 pt) Sum of the interior angles: degrees d) Knowing the figure is regular find the measure of one interior angle. (1 pt) One interior angle: degrees

e) Knowing the figure is regular find the measure of one central angle. (1 pt) One central angle: degrees f) Knowing g the figure is regular find the measure of one exterior angle. (1 pt) One exterior angle: degrees g) Knowing the figure is regular and one side measures 2 cm, find the perimeter. (1 pt) Perimeter: cm h) Knowing the figure is regular and one side measures 2 cm, find the area. The length from the center to a vertex is 5.67 cm. Use the area of interior triangles (A==bh). Show ALL work and leave your answer in radical form. (3 pts) 5.67 Number of triangles inside a regular polygon with 18 sides: triangles Area of 1 triangle: cm? 2 Area of the regular polygon with 18 sides: cm? 3-D Let's create it into a prism with a regular 18-sided polygon as its base. One side of the base is still 2 cm. The height, H, is 10 cm. i) What is the surface area of the prism? Use SA = 2B + PH. Show ALL work and round your answer to two decimal places. (2.5 pts) Surface area: cm?

j) What is the volume of the prism? Use V = BH. Show ALL work and round your answer to two decimal places. (2.5 pts) Volume: cm Let's create it into a pyramid with a regular 18-sided polygon as its base. One side of the base is still 2 cm. The height, H, is 10 cm. k) What is the slant height, S, of the pyramid? Show ALL work and round your answer to two decimal places. (3 pts) Slant height: cm 1 1) What is the surface area of the pyramid? Use SA = B+ PS. Show ALL work and round your answer to 2 two decimal places. (2.5 pts) Surface Area: cm? 1 m) What is the volume of the pyramid? Use V = BH. Show ALL work and round your answer to two decimal 3 places. (2.5 pts) Volume: cm