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My Book of Geometric Terms Basic Geometric Vocabulary EXAMPLE VOCABULARY WORD DEFINITION point a position in space line a straight figure that goes on forever in both directions line segment a section of a line that has endpoints ray a line with one endpoint that goes on forever in one direction parallel lines, sides, or planes that will never intersect or cross perpendicular lines, sides, or planes that create a right angle or 90 ° intersecting lines, sides, or planes that cross side one of the lines that joins the corners/vertices of a shape side opposite sides vertex a corner formed by two line segments, rays, etc. opposite sides sides that are across from each other adjacent sides sides that are next to each other Angles Vocabulary EXAMPLE VOCABULARY WORD DEFINITION obtuse angle an angle whose measure is greater than 90° acute angle an angle whose measure is less than 90° right angle an angle whose measure is exactly 90° straight angle an angle whose measure is exactly 180° reflex angle an angle whose measure is between 180° and 360° Polygons Vocabulary EXAMPLE VOCABULARY WORD DEFINITION polygon a closed 2D (flat) shape with: at least 3 sides no curved sides only 1 interior regular polygon a polygon with all equal sides and angles irregular polygon a polygon whose sides and angles are not all equal concave polygon convex polygon a polygon who has one or more angles larger than 180° ; a polygon who has one side that looks “pushed in” a polygon whose angles are all less than 180° Polygons Vocabulary EXAMPLE VOCABULARY WORD triangle DEFINITION a three-sided polygon whose angles add up to 180° quadrilateral a four-sided polygon whose angles add up to 360° pentagon a five-sided polygon whose angles add up to 540° hexagon heptagon a six-sided polygon whose angles add up to 720° a seven-sided polygon whose angles add up to 900° octagon an eight-sided polygon whose angles add up to 1080° nonagon a nine-sided polygon whose angles add up to 1260° decagon a ten-sided polygon whose angles add up to 1440° Types of Triangles Vocabulary EXAMPLE VOCABULARY WORD DEFINITION equilateral triangle a triangle with all equal sides and equal angles scalene triangle a triangle with no equal sides or equal angles isosceles triangle a triangle with two equal sides and two equal angles obtuse triangle a triangle with one obtuse angle acute triangle a triangle with all acute angles right triangle a triangle with one 90° angle Types of Quadrilaterals EXAMPLE VOCABULARY WORD DEFINITION parallelogram a quadrilateral with 2 sets of opposite, parallel sides rectangle a quadrilateral AND parallelogram with four 90° angles rhombus a quadrilateral AND parallelogram with four equal sides square a quadrilateral, parallelogram, rectangle and rhombus that has four equal sides and four 90° angles kite a quadrilateral that has two sets of equal adjacent sides trapezoid a quadrilateral with only one set of parallel, opposite sides Quadrilateral Hierarchy Quadrilateral Facts: Every square is a rectangle, but not every rectangle is a square o Not every rectangle has four equal sides Every square is a rhombus, but not every rhombus is a square o Not every rhombus has 90° angles Every square is a parallelogram, but not every parallelogram is a square o Not every parallelogram has 90° angles and/or four equal sides Every rectangle is a parallelogram, but not every parallelogram is a rectangle. o Not every parallelogram has 90° angles Every rhombus is a parallelogram, but not every parallelogram is a rhombus. o Not every parallelogram has four equal sides