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Properties of Quadrilaterals. Let us understand in a better way with the help of an example: It has four sides: AB, BC, CD, and DA. It has four vertices: Points A, B, C, and D. It has four angles: ∠ABC, ∠BCD, ∠CDA, and ∠DAB. ∠A and ∠B are adjacent angles. ∠A and ∠C are the opposite angles.
- 105 min
- What Is A quadrilateral?
- Parts of A Quadrilateral
- Properties of Quadrilaterals
- Types of Quadrilaterals
- Solved Examples on Quadrilateral
A quadrilateral is a polygon having four sides, four angles, and four vertices. The word ‘quadrilateral’ is derived from the Latin words ‘quadri,’ which means four, and ‘latus’, which means side. The above image is an example of a quadrilateral.
∠A, ∠B, ∠C, and ∠D are the four angles of the quadrilateral ABCDAB, BC, CD, and DA are the four sides of the quadrilateral ABCD.A, B, C, and D are the four vertices of the quadrilateral ABCD.AC and BD are the two diagonals of the quadrilateral ABCD.Some properties are common to all quadrilaterals. These properties are: 1. They have four vertices. 2. They have four sides. 3. The sum of all interior angles is 360°. 4. They have two diagonals. 5. A quadrilateral can be regular or irregular. A regular quadrilateral must have 4 equal sides, and 4 equal angles, and its diagonalsmust bisect each oth...
Quadrilaterals can be classified into Parallelograms, Squares, Rectangles, and Rhombuses. Square, Rectangle, and Rhombus are also Parallelograms. Here’s a list of the types of quadrilaterals with their name, pictures, and properties:
Example 1. Find the missing angle in the given quadrilateral. Solution: We know that the sum of all the angles of a quadrilateral is 360°. Hence, we can write it as follows: x + 77° + 101° + 67 = 360° x + 245° = 360° x = 360° – 245° Therefore, x = 115° Example 2: What will be the perimeter of a quadrilateral with sides 6 cm, 8 cm, 10 cm, and 12 cm?...
The Square. the little squares in each corner mean "right angle". A square has equal sides (marked "s") and every angle is a right angle (90°) Also opposite sides are parallel. A square also fits the definition of a rectangle (all angles are 90°), and a rhombus (all sides are equal length).
A quadrilateral is a square if and only if it is both a rhombus and a rectangle (i.e., four equal sides and four equal angles). Oblong: longer than wide, or wider than long (i.e., a rectangle that is not a square). [5] Kite: two pairs of adjacent sides are of equal length.
A quadrilateral is defined as a two-dimensional shape with four sides, four vertices, and four angles. There are two main types: concave and convex. There are also various subcategories of convex quadrilaterals, such as trapezoids, parallelograms, rectangles, rhombi, and squares. Created by Sal Khan. Questions.
- 8 min
- Sal Khan
A quadrilateral is a closed shape that is formed by joining four points among which any three points are non-collinear. In simple words, a quadrilateral is a polygon with 4 sides, 4 angles, and 4 vertices. Let us learn more about the quadrilateral shape, the properties of quadrilaterals, the different types of quadrilaterals along with a few ...
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What type of shape is a quadrilateral?
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So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles. However not every rectangle is a square, to be a square its sides must have the same length. 12 comments.
