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parallelogram    
n. 平行四边形

平行四边形

parallelogram
n 1: a quadrilateral whose opposite sides are both parallel and
equal in length [ant: {trapezium}]

Parallelogram \Par`al*lel"o*gram\, n. [Gr. ?; ? parallel ? to
write: cf. F. parall['e]logramme. See {Parallel}, and
{-gram}.] (Geom.)
A right-lined quadrilateral figure, whose opposite sides are
parallel, and consequently equal; -- sometimes restricted in
popular usage to a rectangle, or quadrilateral figure which
is longer than it is broad, and with right angles.
[1913 Webster]

{Parallelogram of velocities}, {parallelogram of forces},
{parallelogram of accelerations}, {parallelogram of momenta},
etc. (Mech.), a parallelogram the diagonal of which
represents the resultant of two velocities, forces,
accelerations, momenta, etc., both in quantity and
direction, when the velocities, forces, accelerations,
momenta, etc., are represented in quantity and direction
by the two adjacent sides of the parallelogram.
[1913 Webster]


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  • To find the area of parallelogram RSTU, Juan starts by drawing a . . .
    When a parallelogram is inscribed in a rectangle, there are generally four triangular regions formed outside the parallelogram These triangles occupy the corners of the rectangle To find the area of the parallelogram, we need to subtract the combined area of these triangles from the area of the rectangle Step 3: Area of the Triangles
  • Which statement proves that parallelogram KLMN is a rhombus?
    A rhombus is a parallelogram with all four sides equal, or with perpendicular diagonals, or with diagonals that bisect the angles Statement 1 only confirms that K LMN is a parallelogram, as diagonals of all parallelograms bisect each other Statement 2 indicates that the diagonals have different lengths, which does not prove it's a rhombus
  • [FREE] A parallelogram has coordinates (5, 17), (10, 20), (18, 9), and . . .
    The right triangle cutout from the box method for the given parallelogram is formed by the vertices (5,20), (5,17), and (10,20) This triangle is located in the upper left corner of the bounding box
  • [FREE] Given: ABCD is a parallelogram. Prove: ∠A and ∠D are . . .
    Explanation To prove that ∠A and ∠D are supplementary in parallelogram ABCD, we will use the properties of a parallelogram and the Same-Side Interior Angles Theorem Proof: Definition of Parallelogram: By definition, a parallelogram is a quadrilateral where opposite sides are parallel Therefore, in parallelogram ABCD, we have AB ∥ DC
  • Parallelogram ABCD is shown. Sides AB and DC are parallel, and sides AD . . .
    Examples Evidence For example, if you had another parallelogram where the lengths of opposite sides were given as algebraic expressions, you would apply the same concept: set the expressions equal and solve for the variable This method allows the same principles to be used in similar problems involving parallelograms
  • A parallelogram is cut out of a 12-inch by 8-inch sheet of paper. There . . .
    A parallelogram is cut out of a 12-inch by 8-inch sheet of paper There are four right triangle remnants Two have the dimensions 2 inches by 9 inches, and the other two have the dimensions 3 inches by 6 inches A parallelogram is shown An altitude is drawn from one point to the opposite side to form a right angle The length of the base is 9 22 inches The resulting parallelogram has a base
  • Complete the following steps to calculate the altitude of the . . .
    The altitude of the parallelogram is calculated to be 6 51 square inches This was found by subtracting the area of the triangles from the area of the paper and using the area formula for the parallelogram
  • [FREE] Parallelogram JKLM is shown on the coordinate plane below with . . .
    Parallelogram JKLM is shown on the coordinate plane below: If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?
  • [FREE] Complete the following proof. Given: WXYZ is a parallelogram . . .
    Proof: Since WXYZ is a parallelogram, opposite sides are congruent Diagonals bisect each other in a parallelogram Thus, XZ bisects WY To prove that XZ bisects WY in parallelogram WXYZ, we'll use properties of parallelograms and diagonals Given: WXYZ is a parallelogram with diagonals XZ and WY intersecting at point V To prove: XZ bisects WY
  • Given: Quadrilateral MNOL with MN ≅ LO and ML ≅ NO
    Quadrilateral MNOL is proven to be a parallelogram by showing that both pairs of opposite sides (MN and LO, ML and NO) are parallel through the properties of congruent triangles and alternate interior angles





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