draw the types of quadrilateral and write their properties
Answers
Answer:Properties: Isogonal figure, Convex polygon
Type: Parallelogram, Quadrilateral, Hyperrectangle
Step-by-step:
Rectangle
A rectangle is a quadrilateral with four right angles. Thus, all the angles in a rectangle are equal (360°/4 = 90°). Moreover, the opposite sides of a rectangle are parallel and equal, and diagonals bisect each other.
Properties of rectangles
A rectangle has three properties:
All the angles of a rectangle are 90°
Opposite sides of a rectangle are equal and Parallel
Diagonals of a rectangle bisect each other
Rectangle formula – Area and perimeter of a rectangle
If the length of the rectangle is L and breadth is B then,
Area of a rectangle = Length × Breadth or L × B
Perimeter of rectangle = 2 × (L + B)
These practice questions will help you solidify the properties of rectangles
Square
Square is a quadrilateral with four equal sides and angles. It’s also a regular quadrilateral as both its sides and angles are equal. Just like a rectangle, a square has four angles of 90° each. It can also be seen as a rectangle whose two adjacent sides are equal.
Properties of quadrilaterals square
Properties of a square
For a quadrilateral to be a square, it has to have certain properties. Here are the three properties of squares:
All the angles of a square are 90°
All sides of a square are equal and parallel to each other
Diagonals bisect each other perpendicularly
Square formula – Area and perimeter of a square
If the side of a square is ‘a’ then,
Area of the square = a × a = a²
Perimeter of the square = 2 × (a + a) = 4a
These practice questions will help you solidify the properties of squares
Parallelogram
A parallelogram, as the name suggests, is a simple quadrilateral whose opposite sides are parallel. Thus, it has two pairs of parallel sides. Moreover, the opposite angles in a parallelogram are equal and its diagonals bisect each other.
Properties of quadrilaterals parallelogram
Properties of parallelogram
A quadrilateral satisfying the below-mentioned properties will be classified as a parallelogram. A parallelogram has four properties:
Opposite angles are equal
Opposite sides are equal and parallel
Diagonals bisect each other
Sum of any two adjacent angles is 180°
Parallelogram formulas – Area and perimeter of a parallelogram
If the length of a parallelogram is ‘l’, breadth is ‘b’ and height is ‘h’ then:
Perimeter of parallelogram= 2 × (l + b)
Area of the parallelogram = l × h
These practice questions will help you solidify the properties of parallelogram
Rhombus
A rhombus is a quadrilateral whose all four sides are equal in length and opposite sides are parallel to each other. However, the angles are not equal to 90°. A rhombus with right angles would become a square. Another name for rhombus is ‘diamond’ as it looks similar to the diamond suit in playing cards.
Properties of quadrilaterals rhombus
Properties of rhombus
A rhombus is a quadrilateral which has the following four properties:
Opposite angles are equal
All sides are equal and, opposite sides are parallel to each other
Diagonals bisect each other perpendicularly
Sum of any two adjacent angles is 180°
Rhombus formulas – Area and perimeter of a rhombus
If the side of a rhombus is a then, perimeter of a rhombus = 4a
If the length of two diagonals of the rhombus is d1 and d2 then the area of a rhombus = ½ × d1 × d2
Answer:
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