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Math 306 Study Guide Exam 1

by: Shelby Frensemeier

Math 306 Study Guide Exam 1 Math 306

Shelby Frensemeier
GPA 3.96

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About this Document

These notes cover the first exam including the definitions mentioned in class, the hierarchical classification of shapes/polygons with definitions shape definitions. And the bonus that our professo...
Concepts of Geometry
Deborah Webster
Study Guide
geometry, Shapes, polygon, angle, triangle, line, ray, convex, concave, hierarchical, Classification, n-gon
50 ?




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This 3 page Study Guide was uploaded by Shelby Frensemeier on Thursday September 15, 2016. The Study Guide belongs to Math 306 at Indiana State University taught by Deborah Webster in Fall 2016. Since its upload, it has received 29 views. For similar materials see Concepts of Geometry in Mathematics Education at Indiana State University.

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Date Created: 09/15/16
Math 306 Study Guide Exam 1 Definitions Vertices: a point where two sides or lines meet  Diagonal: a line segment joining 2 vertices of the polygon that are not joined by a side Polygon: a closed planar figure made of line segments that are joined end to end, with no  crossing or reusing of points Equilateral: all sides have the same length Equiangular: all angles have the same measure Regular: all sides are equal and all angles are equal Triangle: a shape with three sides Acute: all angles are acute (less than 90 degrees) Right: one right (90 degree) angle Obtuse: one angle is obtuse (greater than 90 degrees) Equilateral: all sides have the same length Isosceles: at least 2 sides are equal Scalene: all sides unequal Angle: Adjacent: angles with the same vertex and a common side Supplementary: 2 angles whose sizes add up to 180 degrees but do not have to be  adjacent  Complementary: 2 angles whose sizes add up to 90 degrees Exterior: an angle formed by the extension of one side of the polygon through the vertex Interior: an angle “inside” a polygon Ray: one end point extends indefinitely in one direction Line: goes indefinitely in opposite directions Line segment: a line with two end points Region: an area shaded in points inside a given shape Convex: all vertices in a convex polygon point outward Concave: at least one vertex points inward Hierarchical classification: of Polygons/Shapes (with definitions) Polygon Quadrilateral: any shape Pentagon, etc. Triangle with four sides Isosceles Scalene Kite: Trapezoid: has       has 2 pairs of   at least one pair  consecutive sides each  Equilateral of parallel sides        pair is equal in  length Isosceles trapezoid: Parallelogram: trapezoid with equal  opposite sides are  angles next to one of parallel to each other the parallel sides Rectangle: has all  Rhombus: all  right (90 degree)  sides are equal  angles in length       Square: all        sides equal and       opposites are        parallel, all       right angles Bonus: n­gon formulas N­gon: allows us to generalize the number, “n”, of angles, vertices, or sides Sum of interior angles: 180(n­2) Measure of interior angles: 180(n­2)/n Measure of exterior angles: 180­[180(n­2)/n] Measure of central: same as exterior 


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