Table of Contents
- 1 What is the relation between area of parallelogram standing on same base and between same parallels?
- 2 What is the relation between parallelogram and rectangle?
- 3 Does a rectangle and a parallelogram have the same area?
- 4 How does the area of the parallelogram compare with the area of the rectangle?
- 5 What is the relationship between the area of the rectangle and its sides?
- 6 Do rectangles and parallelograms have the same area?
- 7 Which diagonals of a rectangle bisect each other?
- 8 Are two triangles on the same base equal in area?
What is the relation between area of parallelogram standing on same base and between same parallels?
Parallelograms on the same base and between the same parallel lines are equal in area. It is a very important theorem in mathematics that is used to find and compare the areas of parallelograms.
What is the relation between parallelogram and rectangle?
Rectangle vs Parallelogram
| Property | Parallelogram> | Rectangle |
|---|---|---|
| Angles | The opposite angles of a parallelogram are equal. The adjacent angles are supplementary. | Opposite angles, as well as adjacent angles, are equal. An angle formed by the adjacent sides of a rectangle is 90°. |
Does parallelogram and rectangle have same area?
Because the parallelogram and rectangle are composed of the same parts, they necessarily have the same area. Because base × height gives the area of the rectangle, we can use the same measurements on the parallelogram to compute its area: base × height.
What is the relationship between area of rectangle and area of parallelogram?
In a parallelogram, the opposite sides are of equal length and opposite angles are of equal measures. Since the rectangle and the parallelogram have similar properties, the area of the rectangle is equal to the area of a parallelogram.
Does a rectangle and a parallelogram have the same area?
How does the area of the parallelogram compare with the area of the rectangle?
The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.
Which two parallelograms have the same area?
Regardless of their shape, parallelograms that have the same base and the same height will have the same area; the product of the base and height will be equal.
Do the rectangle and parallelogram have the same area?
What is the relationship between the area of the rectangle and its sides?
The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Do rectangles and parallelograms have the same area?
Why do parallelograms and rectangles have the same area?
Parallelograms and Rectangles between the same parallels i.e. perpendicular distance between the parallel sides (where length of each side is the base i.e. b), let us say this perpendicular distance is ‘l’. So, both have the same areas. P.S. Rectangle is a special Parallelogram where perpendicular distance between the base and
What is the formula to find the area of a parallelogram?
Thus, in order to find out the area of a parallelogram, we will multiply the base by the height. The Formula is A = B * H. Over here, B is the base, H is the height, and * is multiplication.
Which diagonals of a rectangle bisect each other?
Diagonals of rectangle bisect each other. Diagonals of parallelogram also bisect each other. Opposite sides of rectangle are of equal length. Opposite sides of parallelogram are also of equal length. All angles of a Rectangle are also of 90 Degree each i.e. right angled at each vertex.
Are two triangles on the same base equal in area?
Two triangles on the same base (or equal bases) and between the same parallels are equal in area. In the above figure, ABCD is a parallelogram and AC is one of its diagonals. A line ‘AN’ is drawn which is perpendicular to the line ‘DC’.