GEOMETRY EOC Parallelogram Opposite angles are equal. Consecutive angles are supplementary. Opposite sides are congruent. Any side can be considered a base. The altitude is the perpendicular distance from the base to the opposite side. The diagonals bisect. Angles and Sides of a Parallelogram Real Life Parallelograms Properties of a Rectangle Rectangles are types of parallelograms. Opposite sides are parallel and congruent. The diagonals bisect. The diagonals’ central angles are congruent. The diagonals are congruent. All vertices are right angles. Angles and Sides of a Rectangle Real Life Rectangle Properties of a Rhombus All sides are the same length. Sides across from each other are parellel. No angles are 90 degrees Any two angles positioned next to each other are 90 degrees when added. Angles and Sides of a Rhombus Real Life Rhombus Properties of a square A square has four equal sides A square has four 90 degree angles The diagonals are perpendicular Opposite sides are parallel and equal The diagonals are equal Angles and Relationships of a Square Squares in Everyday Life Properties of a Trapezoid A trapezoid has 1 pair of parellel sides Adjacent angles are supplementary Diagonals are congruent A trapezoid can be divided into four triangles Angles and Sides of a trapezoid Real Life Trapezoid Properties of an Isosceles Trapezoid The bases (top & bottom) of an isosceles trapezoid are parallel. Opposite sides of an isosceles trapezoid are the same length (congruent) The angles on either side of the bases are the same size/measure(congruent) The diagonals are congruent Adjacent angles (next to each other) along the sides are supplementary. That means their measures adds up to 180 degrees. Angles and Sides of an Isosceles Trapezoid Real Life Isosceles Trapezoid Hierarchy Chart Quadrillateral Trapezoid Rectangle Sq Parallelogram ua re Matrix of Special Quadrilateral Properties Fou 360 r Degr Edg ees es Parallelogram Rectangle Rhombus Square Righ t Angl es X X X X x X X Two Parall el Sides Oppo site Sides Cong ruent Cong ruent Diago nals Bisecti ng Diagon als x x x x x x x