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Parallelogram Definition. A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. The Sum of all the interior angles equals 360 degrees.
- Area of Parallelogram
Area of a parallelogram is a region covered by a...
- Important Questions Class 9 Maths Chapter 9 Areas Parallelograms
Important Questions for CBSE Class 9 Maths Chapter 9 Areas...
- Diagonal of a Parallelogram Formula
A parallelogram is a quadrilateral whose opposite sides are...
- Area of Parallelogram
- 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 = BDThe measurement of opposite angles of a parallelogram is equal. Here, ∠A = ∠C and ∠B = ∠DLike 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...
A Parallelogram is a flat shape with opposite sides parallel and equal in length. Parallelogram (Jump to Area of a Parallelogram or Perimeter of a Parallelogram) A ...
A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram.
The area of the parallelogram is the area of the blue region, which is the interior of the parallelogram. The base × height area formula can also be derived using the figure to the right. The area K of the parallelogram to the right (the blue area) is the total area of the rectangle less the area of the two orange triangles. The area of the ...
Sep 26, 2024 · A parallelogram is defined as a quadrilateral whose two pairs of opposite sides are parallel and equal. The opposite angles of a parallelogram are also equal in measure. A parallelogram is a four-sided polygon (quadrilateral) and, it has the following key properties: Opposite angles are congruent (equal in measure).
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A square is a parallelogram with four equal sides and four right angles. Therefore, a square is a rhombus and a rectangle at the same time. Diagonal, base, altitude, and height of a parallelogram. The diagonal of a parallelogram is a line segment that joins two vertices that are not next to each other. A parallelogram has two diagonals.
