*quadrilateral scrapbook geometery* !jay-hoosey delpozo! 9 th 2-23-11
TRANSCRIPT
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*Quadrilateral scrapbook geometery*
!Jay-hoosey delpozo!9th
2-23-11
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!Table of contents!
• Page 1• Page 2• Page 3• Page 4• Page 5• Page 6
• Irregular quadrilateral
• Parallelogram• Rhombus• Square • Rectangle• TRAPEZOID
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Irregular quadrilateral• Def-A regular quadrilateral is
one with equal sides and equal angles, so it is a square.
• Example1-quadrilateral is a polygon with four sides
• Example2-the term quadrangle is used, by analogy with triangle
• Example3-Simple quadrilaterals are either convex or concave.
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Parallelogram
. Def-parallelogram is a quadrilateral with two pairs of parallel sides.
Example1-parallelogram with four angles of equal size.
Example2-parallelogram with four sides of equal length
Example3-Adjacent angles are supplementary (add up to 180 degrees)
.
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Rhombus • Def-a rhombus or rhomb is a
quadrilateral whose four sides all have the same length.
• Example1-The rhombus is often called a diamond.
Example2-Every rhombus is a parallelogram.
• Example3-Every rhombus has two diagonals connecting opposite pairs of vertices and two pairs of parallel sides.
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Squares!• Def-This means that it
has four equal sides and four equal angles (90 degree angles, or right angles)
• Example1-A square is both a rhombus (equal sides) and a rectangle
• Example2-a square is a regular quadrilateral
• Example3-The diagonals of a square are equal
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Rectangle• Def-In Euclidean plane
geometry, a rectangle is any quadrilateral with four right angles
• Example1-angles are not right angles.
• Example2-rectangles with opposite sides equal in length and equal angles that are not right angles
• Example3- Rectangles are involved in many tiling problems, such as tiling the plane by rectangles or tiling a rectangle by polygons.
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Trapezoid• Def-four-sided figure with
one pair of parallel sides is referred to as a trapezoid
• Example1- The term trapezium has been in use in English since 1570,
• Example2-There is also some disagreement on the allowed number of parallel sides in a trapezoid
• Example3-Some authors define a trapezoid as a quadrilateral having exactly one pair of parallel sides,