Quadrilaterals

Beschreibung

Mindmap am Quadrilaterals, erstellt von Dshim99 am 14/01/2015.
Dshim99
Mindmap von Dshim99, aktualisiert more than 1 year ago
Dshim99
Erstellt von Dshim99 vor etwa 11 Jahre
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Zusammenfassung der Ressource

Quadrilaterals
  1. Parallelogram
    1. a quadrilateral with two pairs of parallel sides
      1. Rhombus
        1. a parallelogram with four congruent sides
          1. the diagonals are perpendicular
            1. each diagonals bisect a pair of opposite angles
              1. two consecutive sides are congruent
              2. Rectangle
                1. a parallelogram with four right angles
                  1. Square
                    1. a parallelogram with four congruent sides and four right angles
                      1. the diagonals are congruent
                        1. it must have all properties of a rectangle and a rhombus
                        2. its diagonals must be congruent
                          1. if a parallelogram has one right angle then it is a rectangle
                            1. opposites sides are parallel
                              1. opposite angles are congruent
                                1. consecutive angles that are supp.
                                  1. diagonals bisect each other
                                  2. opposite sides are congruent
                                    1. opposite angles are congruent
                                      1. consecutive angles are supp.
                                        1. the diagonals bisect each other
                                          1. each diagonal separates into two congruent triangles
                                            1. Trapezoid
                                              1. Isosceles Trapezoid
                                                1. upper base angles are congruent
                                                  1. the diagonals are congruent
                                                    1. opposite angles are supp.
                                                      1. all properties of a regular trapezoid
                                                        1. lower base angles are congruent
                                                          1. any lower base angle is supp. to any upper base angle
                                                          2. the bases are parallel
                                                            1. lower base angle is supp. to the upper base angle
                                                            2. Kite
                                                              1. diagonals meet at a right angle
                                                                1. exactly one pair of opposite angles that are congruent
                                                                  1. diagonals are perpendicular
                                                                    1. each diagonal bisects a pair of opposite angles
                                                                  2. a polygon with four sides
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