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G e o m e t r i c a l F i g u r e s. Present to M. Veerasakdi. By Tammawut Ittitammachai. P. 4/8 No. 15. Geometric Shapes. Quadrilaterals. A quadrilateral is a polygon with 4 sides. Quadrilaterals. Square. Rectangle. Rhombus. Kite, Dart. Trapezoid. Parallelogram. Trapezium. Square.
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GeometricalFigures Present to M. Veerasakdi By TammawutIttitammachai P. 4/8 No. 15
Quadrilaterals A quadrilateral is a polygon with 4 sides.
Quadrilaterals Square Rectangle Rhombus Kite, Dart Trapezoid Parallelogram Trapezium
Square • A square is a regular quadrilateral. • All angles are equal (90°). • All sides are of equal length. • Opposite sides are parallel. • The diagonals bisect each other at 90°. • The diagonals are equal in length.
Rectangles • All angles are equal (90°). • Opposite sides are of equal length. • The diagonals are equal in length.
Paralleogram • Diagonally opposite angles are equal. • sides are of equal length. • Opposite sides are parallel. • The diagonals bisect each other.
Rhombus • Diagonally opposite angles are equal. • All sides are of equal lengths. • Opposite sides are parallel. • The diagonals bisect each other at 90°.
Kite • Two pairs of sides are of equal length. • One pair of diagonally opposite angles is equal. • Only one diagonal is bisected by the other. • The diagonals cross at 90°.
Trapezium (US) Trapezium (US) is a quadrilateral with NO parallel sides. Trapezoid (US) has a pair of opposite sides parallel.
T R I A N G L E S
Scalene triangle • 3 different length sides • 3 different sized angles • typically used in setting triangles • easier to paper piece • no lines of symmetry – cannot accidentally flip the block over to fix a mistake • can be a right triangle (one angle = 90 degrees) • typical triangle found in math class 30, 60, 90 • can be called half rectangle triangles in quilting
Scalene triangle • Found in: • tilted blocks (as setting triangles) • wonky blocks • mariner’s compass blocks • palm blocks • birds of paradise blocks
Equilateral Triangles • 3 sides equal length • 3 equally sized angles • least commonly found in quilting • 6 triangles can make a hexagon block • all angles are 60 degrees - no exceptions • 3 angles of symmetry, flip around any angle • guaranteed to have 2 sides of bias edges
Equilateral Triangles • Found in: • thousand pyramid blocks • chevron designs • strip pieced hexagons • tumbling blocks • bordered thousand pyramid blocks
Isosceles Triangles • 2 equal length sides • 2 equally sized angles • most commonly found in quilting • Half Square Triangle – HST • Quarter Square Triangle – QST • one line of symmetry, flip around the ‘odd’ angle • can be a right triangle (HST, QST, flying geese) • triangle with an acute ‘odd angle’ – kaleidoscope block
Isosceles Triangles • Found in: • pinwheel • broken dishes • flying geese • hourglass • spool • maple leaf • kalidescope
Obtuse Triangles • Obtuse triangles have one obtuse angle • (an angle greater than 90). • The other 2 angles are acute (less that 90). Acute Triangles • Acute triangles have all angles acute.
Geometric Figure GAME http://www.kidsmathgamesonline.com/geometry/angles.html http://www.kidsmathgamesonline.com/geometry.html
Thank You Prepared by: Tammawut Class: 4/8 No.: 15