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Secondary Math I Name _____________________________ Quadrilateral Types A four sided polygon is called a QUADRILATERAL. A quadrilateral with opposite sides parallel is called a PARALLELOGRAM. A parallelogram with all angles equal is called a RECTANGLE, an EQUIANGULAR quadrilateral. A parallelogram with all sides equal is called a RHOMBUS, and EQUILATERAL quadrilateral. A parallelogram with all sides equal AND all angles equal is called a SQUARE, an equilateral equiangular quadrilateral, or a REGULAR quadrilateral. A quadrilateral with only one set of sides parallel is called a TRAPEZOID. A trapezoid with the two non-‐parallel sides congruent is called an ISOSCELES TRAPEZOID. A quadrilateral with two sets of CONGRUENT (equal) CONSECUTIVE (one after another) sides is called a KITE. AREA is the number of squares contained in an enclosed figure and is always measured in square units (can be written as units2). For each 4 sets of points, plot the points, LABEL EACH POINT WITH THE CORRECT LETTER, connect the points in the order given to create a quadrilateral. Name each quadrilateral by its correct definition in the box at the top. In order to be that type it must have its most specific name. (For example, a rectangle is a parallelogram, but the correct response is a rectangle, not a parallelogram.) Then explain how you know it is that type by finding the slopes and distances. 1. A( -‐2, 5) B(-‐2,-‐3) C(6, -‐3) D(6,5) 2. E(-‐6, -‐5) F(-‐1, -‐5) G(1, 2) H(-‐4, 2) Type of Quadrilateral: Type of Quadrilateral: Justification: Justification: 3. J(2, -‐2) K(2, -‐6) L(8, -‐6) M(8, -‐2) Type of Quadrilateral: Justification: 4. N(6,3) P(4, -‐2) Q(2, 3) R(4, 6) Type of Quadrilateral: Justification: 5. S(-‐6, -‐1) T(-‐8, -‐4) U(-‐2, -‐4) V(-‐2, -‐1) Type of Quadrilateral: Justification: 6. W(-‐1,4) X(4, 2) Y(-‐1, 0) Z(-‐6, 2) Type of Quadrilateral: Justification: 7. AA(-‐3, 6) BB(1, 3) CC(1, -‐1) DD(-‐3, -‐4) Type of Quadrilateral: Justification: 8. DD(0, 2) EE(4, -‐1) FF(1, -‐2) GG(-‐2, -‐1) Type of Quadrilateral: Justification
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