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Geometry Angie Bordwell, Vertis Lewis, Lissa Purpura, and Jean Tuquero
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What is Geometry? Geometry is the study of the measurement, properties, and relationships of points, lines, angles, surfaces, and solids.
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Polygons Polygons are closed figures made by joining line segments, where each line segment intersects exactly two others.
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Triangles Triangles are 3 sided polygons or shapes and are classified classify triangles according to length of sides and measurement of the angles.
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Triangles by sides Equilateral Triangles have 3 equal sides. Isosceles Triangles have 2 equal sides. Scalene Triangle have NO equal sides.
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Triangles by angles Acute Triangle are triangles with three acute angles. Right Triangle are triangles with one right angle. Obtuse Triangle are triangles with one obtuse angle.
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Quadrilateral Quadrilaterals are 4 sided polygons or shapes.
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Quadrilateral Some examples are Rectangles are four-sided polygon having all right angles. Squares are four-sided polygon having equal- length sides meeting at right angles. Parallelograms are four-sided polygon with two pairs of parallel sides.
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Quadrilateral Rhombus is a four-sided polygon having all four sides of equal length. Trapezoids are four-sided polygons having exactly one pair of parallel sides.
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Plane figure having five sides and five angles. In geometry, a pentagon is any five- sided polygon (figure with many sides or angles). However, the term is commonly used to mean a regular pentagon, where all sides are equal and all angles are equal (to 108°). Pentagon
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Heptagon A polygon (figure with many sides or angles) having seven sides. A heptagon is a plane figure with seven sides and seven angles. In a regular heptagon, in which all sides and all angles are equal, the sides meet at an angle of approximately 128.6 degrees.
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Octagon An octagon is a polygon that has eight sides. The internal angle at each vertex of a regular octagon is 135°.°
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Angles Acute - an angle whose measure is between 0 o and 90 o Right - An angle whose measures 90°, one-quarter of the full circle. Obtuse - an angle whose measure is between 90 o and 180 o Supplementary - two angles whose measures total 180 o. Complementary- two angles whose measures total 90 o.
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Figures Similar- figures that have the same shape but not necessarily the same size. Congruent - figures that have the same size and same shape.
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Lines Line of Symmetry - a line that divides a figure into two parts, each a mirror image of the other. Parallel Lines – continuous at equal distance corresponding, exactly like each other. Perpendicular Lines- two segments or lines that intersect to form right angles.
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Coordinate Planes a plane that is divided into four quadrants by drawing a vertical and a horizontal line that intersect at a point called the origin.
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Reflection (Coordinate Plane) Reflection - a transformation of a geometric figure that results in a mirror image of it. The object and the image are equal distance from the line of reflection.
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Translation (Coordinate Plane) Translation - An exact duplication of a geometric figure formed by moving each point in the figure the same distance and in the same direction.
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Rotation (Coordinate Plane) A transformation of a figure in which the image is formed by turning the figure about a fixed point called the center of rotation which may be inside or outside the figure.
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