Polygon Hierarchy Polygons Quadrilaterals Trapezoids Parallelograms Rectangles Rhombus

Polygon Hierarchy Polygons Quadrilaterals Trapezoids Parallelograms Rectangles Rhombus Squares By: Madison Neal

Why are polygons at the top of the Polygon Hierarchy? Polygons Quadrilaterals Parallelograms Trapezoids Rhombus Rectangles What is a polygon? A polygon is any closed figure formed by segments that does not have any curved sides. Squares Police Badge Where did I find this picture? https: //www. google. com/search? q=real+life+example+of+a+polygon&biw=1280& bih=622&source=lnms&tbm=isch&sa=X&ei=Qt. NAVd. Sa. HILSs. AWgg 4 Hg. BA&ved=0 C AYQ_AUo. AQ#tbm=isch&q=police+basdge&imgrc=GVkitbbx. L_qj 5 M%253 A%3 BDX 0 TBGmhe. Ng. OAM%3 Bhttp%253 A%252 Fwww. policeguide. com%252 FPolice_ Photo_Galleries%252 FBadge_Gallery_%252 FSacramento_Police_Badges_2%252 Fs acchief. jpg%3 Bhttp%253 A%252 Fwww. policeguide. com%252 FPolice_Photo _Galleries%252 FBadge_Gallery_%252 FSacramento_Police_Badges_2%252 Fsacra mento_police_badges_2. html%3 B 302%3 B 300 This police badge is a real life example of a polygon because the figure is closed, it is formed by segments, and it does not have any curved sides. Squares, rhombuses, and rectangles are all formed by segments with no curved lines, and two sets of parallel lines, which would qualify them to be categorized as a parallelogram. In order for a shape to be a parallelogram, or a trapezoid, it has to be a quadrilateral, and all quadrilaterals are polygons, which automatically makes every shape listed a polygon. Interesting fact: The word ‘polygon’ derives from the Greek word ‘poly’, meaning ‘many’ and ‘gonia’, meaning ‘angle.

Polygons Why are quadrilaterals beneath polygons in the polygon hierarchy? Quadrilaterals Parallelograms Trapezoids Rhombus Rectangles What is a quadrilateral? A quadrilateral is any four-sided polygon whose angles have a sum of 360 degrees. Squares Notebook paper Where did I find this picture? https: //www. google. com/search? q=real+life+example+of+a +polygon&biw=1280&bih=622&source=lnms&tbm=isch&sa= X&ei=Qt. NAVd. Sa. HILSs. AWgg 4 Hg. BA&ved=0 CAYQ_AUo. AQ#tb m=isch&q=a+piece+of+paper&imgrc=4 Qrnj 6 z. XXDH 3 YM%253 A%3 BZDb. Xx-q. Dsjrm. M%3 Bhttp%253 A%252 Fwww. quia. com%252 Ffiles %252 Fquia%252 Fusers%252 Famigos 15%252 Fpaper 1. jpg%3 B http%253 A%252 Fpixshark. com%252 Fa-piece-ofpaper. htm%3 B 300%3 B 296 This piece of notebook paper is a real life example of a quadrilateral because it a four-sided polygon, which is a closed figure with straight lines, and we can assume the angles add up to 360 degrees, making it a quadrilateral. Squares, rectangles, rhombuses, and trapezoids are and will always be four sided shapes whose interior angles add up to 360 degrees. Being that a rectangles, a square, and a rhombus are all a parallelogram, that means a parallelogram is a quadrilaterals. Quadrilaterals are underneath polygons because not every polygon has four sides, but every quadrilateral will always be a polygon. Interesting fact: The word ‘quadrilateral’ comes from ‘quad’ meaning ‘ 4’ and ‘lateral’ meaning ‘of sides’

Polygons Quadrilaterals Parallelograms Trapezoids Rhombus Rectangles Squares Chalk Board Where did I find this picture? https: //www. google. com/search? q=chalkboard&esp v=2&biw=1280&bih=578&source=lnms&tbm=isch&s a=X&ei=v. N 9 AVZ 7 LM 8 f 6 s. AXT 8 YHYAQ&ved=0 CAYQ_A Uo. AQ#imgrc=Sk. Xp 1 LN 3 lx. Qe. M%253 A%3 BFTw 4 b. MM 6 l. V 56 NM%3 Bhtt p%253 A%252 Fie. microsoft. com%252 Ftestdrive %252 FPerformance%252 FChalkboard%252 FImages% 252 FChalkboard. svg%3 Bhttp%253 A%252 Fie. mi crosoft. com%252 Ftestdrive%252 FPerformance%252 F Chalkboard%252 F%253 Fo%253 D 1%3 B 1227%3 B 842 This picture is a real life example of a parallelogram because it is four sided, and we can assume it is a rectangles, which has two sets of parallel sides, making it a parallelogram. Why are parallelograms beneath quadrilaterals and polygons? What is a parallelogram? A quadrilateral with both pairs of opposite sides parallel. All parallelograms have four sides and two sets of parallel lines, which means that all rectangles, rhombuses, and squares are parallelograms since they have four sides and two pairs of parallel lines. While a trapezoid does have four sides, it only have one set of parallel lines, which would explain why it is not connected to parallelograms on the polygon hierarchy. Since a trapezoid is a quadrilateral, that means that all quadrilaterals are not parallelograms which would explain why all quadrilaterals are not parallelograms. A simple explanation for why all polygons are not parallelograms is that a polygon does not have to have four sides, which explains why polygons are higher than parallelograms.

Polygons Quadrilaterals Parallelograms Trapezoids Why are trapezoids below polygons and quadrilaterals, but nothing is below trapezoids? Rhombus Rectangles What is a trapezoid? A trapezoid is a quadrilateral with only one set of parallel sides. Squares Guitar Where did I find this picture? https: //www. google. com/search? q=trapezoid+in+re al+life&espv=2&biw=1280&bih=578&source=lnms&t bm=isch&sa=X&ei=6 OFAVfq. MMi 2 s. AXhk. IC 4 Dw&sqi=2&ved=0 CAYQ_AUo. AQ#im grc=z 101 o 3 t. KNLy 0 CM%253 A%3 Bmf. VDGPWOJeo. Li. M %3 Bhttp%253 A%252 Fwww. lutherie. net%252 F trapezoid. martin. jpg%3 Bhttps%253 A%252 Fan swers. yahoo. com%252 Fquestion%252 Findex%253 Fqi This guitar represents a real life example of a trapezoid because it has four sides. And we can see that the top and the bottom are parallel to each other, which mean it qualifies to be a trapezoid. A trapezoid is and will always be a quadrilateral, and since all quadrilaterals are polygons, that explain why trapezoids are beneath polygons, and quadrilaterals. Being that a trapezoid only has one set of parallel sides, it does not qualify to be a parallelogram, which explains why trapezoids are not connected to parallelograms or anything beneath it. Interesting fact: The altitude of a trapezoid is the perpendicular distance between the bases.

Polygons Why are rectangles below parallelograms and not connected to rhombuses? Quadrilaterals Parallelograms Trapezoids Rhombus Rectangles What is a rectangle? A rectangle is a quadrilateral with four 90 degree angles, two sets of parallel lines, but all the sides are not the same length. Squares The American Flag The American flag represents a life example of a rectangle because it is a quadrilateral, with four Where did I find 90 degree angles, and this picture? two sets of parallel lines, but by the image you can see that the base and the side are not the same length. That would qualify this shape as a https: //www. google. com/search? q=real+life+ example+of+a+rectangle&espv=2&biw=1280& bih=622&source=lnms&tbm=isch&sa=X&ei=W SRBVa. Hk. Nc. LRt. QWyt. YHQDA&ved=0 CAYQ_AU o. AQ#tbm=isch&q=american+flag&imgrc=t 6 ze. I c. P 10 w 94 d. M%253 A%3 BKa. Os. Xr. Pd. Sv 593 M%3 B http%253 A%252 Fupload. wikimedia. org %252 Fwikipedia%252 Fcommons%252 Fthumb %252 F 1 a%252 FUS_flag_48_stars. svg% 252 F 220 px. US_flag_48_stars. svg. png%3 Bhttp%253 A%252 F%252 Fen. wikipedia. org%252 Fwiki%252 FFlag_ of_the_United_States%3 B 220%3 B 116 A rectangle has two sets of parallel lines, four sides, and it is a straight closed figure shape which explains why rectangles are always parallelograms, quadrilaterals, and polygons, and why parallelograms, quadrilaterals, and polygons are not always rectangles. Rectangles are not connected to trapezoids because a trapezoid has only one set of parallel lines, and a rectangle is not connected to rhombuses because the rectangle does not have all side lengths, and when a diagonal is placed through the rectangle it does not create two equal angle measures, while in a rhombus it does. A rectangle can not be classified as a square either because all of the rectangles sides are not congruent, which explains why squares are placed below rectangles, and not above them in the polygon hierarchy.

Polygons Quadrilaterals Parallelograms Trapezoids Rhombus Rectangles Squares Folded Money Where did I find this picture? https: //www. google. com/search? q=real+life+example +of+a+rhombus&es_sm=93&biw=1280&bih=622&sou rce=lnms&tbm=isch&sa=X&ei=w. Cd. BVY 3 NCcn 3 s. AWts o. GYAw&sqi=2&ved=0 CAYQ_AUo. AQ#imgrc=Mej. Mhx. P w. Cczm. UM%253 A%3 BUROk. YXMj 7 Ntri. M%3 Bhttp%253 A%252 F 4. bp. blogspot. com%252 F_s 8 MG 3 S 6 j. U 8 E%252 FTNNWSLu. SX 8 I%252 FAAAAA 2 s%252 Fg_J dx. Gt 3 VEA%252 Fs 1600%252 FIMG_0039. JPG%3 Bhttp% 253 A%252 Ffunction-oftime. blogspot. com%252 F 2010%252 F 11%252 Fspecialright-triangles. html%3 B 1600%3 B 1200 This folded money is a real world example of a rhombus because by eye you can see it is a parallelogram, and the sides do look to be equal. The angles are not 90 degrees, which could classify this shape as a Why are rhombuses below parallelograms, above squares, and not connected to rectangles? What is a rhombus? A rhombus is a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides A rhombus is a parallelogram because it has two sets of parallel lines, and every parallelogram is a quadrilateral, which classifies every do quadrilateral as a polygon. That explain why rhombuses are beneath parallelograms, quadrilaterals, and polygons. A rhombus can’t and will never be a trapezoid because a trapezoid is not a parallelogram and in order to be a rhombus, you have to be a parallelogram also. A rhombus is not a rectangle because a rectangle does not have all equal sides while rhombuses do. A rhombus is not a square because it does not have four right angles, but a square is a rhombus because a square is of all equal measures, as is the rhombus, which explains why a square is a rhombus, but a rhombus is not a square.

Polygons Quadrilaterals Parallelograms Trapezoids Rhombus Rectangles Squares Area Rug Where did I find this picture? https: //www. google. com/search? q=real+life+ example+of+a+square&espv=2&biw=1280&bi h=578&source=lnms&tbm=isch&sa=X&ei=nip BVYL 4 PMj. It. QWXt 4 C 4 Cw&ved=0 CAYQ_AUo. AQ #tbm=isch&q=real+life+example+of+a+rectan gle&imgrc=u 5 d. R 8 KWb. Vz 0 Zw. M%253 A%3 BEBsz t 7 ynr. GMya. M%3 Bhttp%253 A%252 Fww w. oninteriordesign. com%252 F. a%252 F 6 a 00 d 8 34519 f 3969 e 201287717 a 38 e 970 c 800 wi%3 Bhttp%253 A%252 Fwww. hdwal lpaper. co%252 Fimages%252 Frectangle-reallife. html%3 B 768 This is a real life example of a square because this rug is a rectangle, and all rectangles are squares. It has four right angles, two pairs of parallel lines, and that makes it a rectangle, and a square. Why are squares at the bottom of the polygon hierarchy? What is a square? A square is a quadrilateral with four equal straight sides and four right angles. A square is a rectangle because a square has four right angles, and four equal sides, while a rectangle has only two equal sides, so a square is a rectangle but a rectangle isn’t a square. A square is also a rhombus because do all equal sides, and the diagonal bisects the angles as it does a rhombus has for a square, but a rhombus is not a square because it does not have four right angles. Since a square is a rectangle, and a rhombus, and both of the two shapes are parallelograms, that means a square is also a parallelograms. All parallelograms are quadrilaterals, and polygons, which means all squares are also quadrilaterals and polygons. A square is not a rhombus and never will be because a rhombus does not have all equal sides, which a square does. There is nothing below squares because a rectangle, rhombus, nor a trapezoid will ever be a square. All quadrilaterals are not squares, for example, a trapezoid. And all polygons are not squares, for example, a triangle. That is why everything is above squares and nothing is below it.