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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
Math Formulas. Diagonal Of Parallelogram Formula. Diagonal...
- 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. 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:
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.
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.
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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Example 1: Calculate the area of the given parallelogram. Solution: Area of parallelogram = base x height [Write the formula] ⇒ 8 x 5 [Substitute 8 for base and 5 for height] ⇒ 40. So, the area of the given parallelogram is 40 square inches. Example 2: A garden is in the shape of a parallelogram as shown in the image.