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  1. www.mathsisfun.com › geometry › parallelogramParallelogram - Math is Fun

    A Parallelogram is a flat shape with opposite sides parallel and equal in length. Opposite sides are parallel. Opposite sides are equal in length. Opposite angles are equal (angles A are the same, and angles B are the same) Angle A and angle B add up to 180°, so they are supplementary angles. Play with a Parallelogram:

    • Bisect

      "Bisect" means to divide into two equal parts. We can bisect...

    • Supplementary Angles

      How to remember which is which? Well, alphabetically they...

    • Rhombus

      All sides have equal length: Opposite sides are parallel,...

    • Squares

      Math explained in easy language, plus puzzles, games,...

    • Parallel

      Perpendicular and Parallel Perpendicular. It just means at...

    • Parallelogram Definition

      Illustrated definition of Parallelogram: A flat shape with 4...

  2. Parallelogram. A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length. The Sum of adjacent angles of a parallelogram is equal to 180 degrees.

    • 16 min
    • What is a parallelogram in math?1
    • What is a parallelogram in math?2
    • What is a parallelogram in math?3
    • What is a parallelogram in math?4
    • What Is parallelogram?
    • Real-Life Examples of A Parallelogram
    • Properties of Parallelograms
    • Types of Parallelograms
    • Area of A Parallelogram
    • The Perimeter of A Parallelogram
    • Solved Examples on Parallelogram

    A parallelogram is a special type of quadrilateralthat has both pairs of opposite sides parallel and equal. The given figure shows a parallelogram ABCD, which has AB II CD and AD II BC. Also, AD = BC and AB = CD. Non-Example: A trapezium is a non-example of a parallelogram.

    When we look around us, we can see multiple parallelogram-like shapes and objectsin the form of buildings, tiles, or paper. Buildings: Many buildings are constructed, keeping in mind the shape of parallelograms. A famous real-life illustration is the Dockland Office Building in Hamburg, Germany. Tiles: Tiles come in various shapes and sizes. One of...

    In a parallelogram, the opposite sides are parallel to each other. Here, AB || CD and AC || BD.
    The opposite sides of a parallelogram are equal in length. Here, AB = CD and AC = BD
    The measurement of opposite angles of a parallelogram is equal. Here, ∠A = ∠C and ∠B = ∠D
    Like all other quadrilaterals, the sum of all the angles of a parallelogram is 360°.

    There arethree unique kinds of parallelograms: 1. Rhombus: A rhombus is a parallelogram in which all sides are equal. Here, AB = BC = CD = DA. ABCD is a rhombus. 1. Square: A square is a parallelogram where all sides and diagonals are equal. The angles are right angles. Here, AB = BC = CD = DA and ∠A = ∠B =∠C = ∠D = 90 degrees and also AD = BC. ABC...

    The area of a parallelogram is given by the formulaA = bh, where b is the length of the base, and “h” is the height.

    The perimeter of a parallelogram equals the sum of the lengths of the four sides. Since the opposite sides of a parallelogram are equal, its perimeter can also be expressed as 2 x the sum of adjacent sides, i.e., 2 (AB + BC) SplashLearn is transforming education for elementary school kids from Kindergarten to Grade 5. SplashLearn motivates kids to ...

    Example 1 In the figure below, ABCD is a parallelogram where ∠DAB = 75° and ∠CBD = 60°. Calculate ∠BDC. Solution: As we know, the opposite angles of a parallelogram are equal. Therefore, ∠DCB = ∠DAB = 75°. We also know that the sum of the angles of a triangle is 180°. Now, consider ∆ BCD. Here, ∠BDC + ∠DCB + ∠CBD = 180° We know that ∠DCB = ∠DAB = 7...

  3. A parallelogram is a quadrilateral which is made up of 2 pairs of parallel sides. In a parallelogram, the opposite sides are parallel and equal in length. A few examples of a parallelogram are rhombus, rectangle, and square.

  4. Sep 26, 2024 · A parallelogram is a four-sided polygon (quadrilateral) and, it has the following key properties: Opposite angles are congruent (equal in measure). Consecutive angles are supplementary (sum up to 180°). Diagonals bisect each other, meaning they cut each other into two equal parts.

  5. Properties of a Parallelogram. ★ Two pairs of opposite congruent sides. Side AB A B AB and Side DC D C DC are congruent. Side AD A D AD and Side BC B C BC are congruent. ★ Two pairs of opposite congruent angles. Angle A A A and Angle C C C are congruent. Angle D D D and Angle B B B are congruent. ★ Diagonals bisect each other.

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  7. Types of parallelogram. Squares, rectangles, and rhombuses are also parallelograms, more specifically special parallelograms, since their opposite sides are parallel according to the definition. A rhombus is a parallelogram with four equal sides. A rectangle is a parallelogram with four right angles. A square is a parallelogram with four equal ...

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