MUST HAVE A VPN. Checkpoint: Arc length and area of sectors LZ2 Area of compound figures KHG Checkpoint: Equations of circles M2P Only need a score of 90.
Home>Homework Answsers>Mathematics homework help>Geometry homework help Geometric Constructions In this lesson, you learned how a compass and straightedge are used to create constructions related to circles. In this assignment, you will use those tools to complete those constructions on your own. As you complete the assignment, keep this question in mind: How do you perform constructions related to circles? Directions Complete each of the following constructions, reading the directions carefully as you go. Be sure to show all work and insert an image of each construction. If you are unable to take and insert screenshots of the constructions, print this activity sheet and create them by hand using a compass and straightedge. Your teacher will give you further directions about how to submit your work. You may be asked to upload the document, e-mail it to your teacher, or print it and hand in a hard copy. Now, let’s get started! Step 1: Construct a circle through three points not on a line. a) Construct a circle through three points not on a line using the construction tool. Insert a screenshot of the construction here. Alternatively, construct a circle through three points not on a line by hand using a compass and straightedge. Leave all circle and arc markings. (10 points) Step 2: Construct regular polygons inscribed in a circle. a) Construct an equilateral triangle inscribed in a circle using the construction tool. Insert a screenshot of the construction here. Alternatively, construct an equilateral triangle inscribed in a circle by hand using a compass and straightedge. Leave all circle and arc markings. (10 points) b) Construct a regular hexagon inscribed in a circle using the construction tool. Insert a screenshot of the construction here. Alternatively, construct a regular hexagon inscribed in a circle by hand using a compass and straightedge. Leave all circle and arc markings. (10 points) c) Construct a square inscribed in a circle using the construction tool. Insert a screenshot of the construction here. Alternatively, construct a square inscribed in a circle by hand using a compass and straightedge. Leave all circle and arc markings. (10 points) Step 3: Construct tangent lines to a circle. a) Constructa tangent to a circle through a point on the circle using the construction tool. Insert a screenshot of the construction here. Alternatively, a tangent to a circle through a point on the circle by hand using a compass and straightedge. Leave all circle and arc markings. (10 points) b) Construct a tangent to a circle through a point outside the circleusing the construction tool. Insert a screenshot of the construction here. Alternatively, construct a tangent to a circle through a point outside the circle by hand using a compass and straightedge. Leave all circle and arc markings. (10 points)
Checkpoint: Arc length and area of sectors LZ2 Area of compound figures KHG Checkpoint: Equations of circles M2P Checkpoint: Angles and lines in circles T95 Need a minimum score of 90 on each. YOU NEED VPN TO ACCESS.
1. One of the most famous events in the study of geometry involved Archimedes and a bath tub. Research this story. Find at least 2-3 different sources of information. To properly complete this assignment, you will need to do the following: Explain the story in your own words, citing your sources of information. Describe how the story relates to the study of geometry. 2. Create a new Microsoft Word (.doc / .docx) or Rich Text Format (.rtf) document on your computer, and write 1-2 pages (please see formatting information below) explaining the story and relating it to the study of geometry in your own words. Please cite 2-3 references from websites that are reputable (they have a ‘.edu’ extension). Note: headings, titles, references, blank lines etc. do not count towards the more than one page requirement. Please follow MLA formatting (Purdue Owl MLA Style Guide): Double spaced 12pt font 1′ margins Indent paragraphs Include a Works Cited page (separate page, not included in the 1-2 page requirement) HistoricalDevelopmentsinGeometry.html.zip
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