Study Guide 3
Study Guide 3 Circles, Central and Inscribed angles 1. How do we define a circle? What is a radius, diameter, chord, secant and tangent? What is a minor and major arc? What is a semi-circle? 2. Circular Geoboard (with 24 pegs): a) Without a protractor, construct the following central angles: 75°, 90°, 135°, 180°, 270°. b) Without a protractor, construct the following inscribed angles: 40°, 90°, 135°. c) Classify all angles you drew in a) and b) . (Using words acute, obtuse, reflex, etc.) 3. Circular Geoboard (with 24 pegs): Find the measures of given central and inscribed angles without using a protractor. (See pg. 259, # 8 a) 4. When is the measure of an inscribed angle equal to 90°? Use this knowledge to find the center of a given circle. Solids Classification, Euler’s Formula You should be familiar with the basic terminology and names: Vertex, Edge, Face; Solid, Polyhedron, Prism, Pyramid, Platonic Solid, Regular Polyhedron, Archimedean Solid, Semiregular Polyhedron, Sphere, Cone, and Cylinder . You don’t have to memorize any definitions – the focus is on understanding, see the examples of possible test questions below. A. Name the solids depicted in the following picture. Be as specific as you can (don’t just state “pyramid”; specify what kind of pyramid it is). Sort out the solids using categories polyhedron , prism , pyramid and platonic solid . (Note: Some do not belong to any category and some may belong to more than one group). B. You should be able to represent relationships between/among different categories of solids in Venn Diagrams (in the class we used a tree diagram to classify solids).
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