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We see that each triangle takes up precisely one half of the parallelogram. From this, we see that the area of a triangle is one half the area of a parallelogram, or the area of a parallelogram is two times the area of a triangle.
Each pair of co-interior angles are supplementary, because two right angles add to a straight angle, so the opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram, so: Its opposite sides are equal and parallel. Its diagonals bisect each other.
Are rectangle and parallelogram similar?
A rectangle is often described as a special case of the parallelogram, since it has similar properties but with the height being the same as one of the parallel sides. In other words, a parallelogram that possesses equal opposite sides and 90° angles, is called a rectangle.
How the area of rectangle and area of parallelogram are related?
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.
Is triangle a parallelogram?
A triangle is a parallelogram. Parallelograms are quadrilaterals with two sets of parallel sides. Since squares must be quadrilaterals with two sets of parallel sides, then all squares are parallelograms.
What type of triangles are in a parallelogram?
A parallelogram can always be decomposed into two identical triangles by a segment that connects opposite vertices.
What is the similarities and differences of parallelogram and rectangle?
Difference & Similarity between Rectangle & Parallelogram
| Rectangle | Parallelogram |
|---|---|
| Opposite sides of rectangle are parallel to each other | Opposite sides of parallelogram are also parallel to each other |
| Opposite angles of rectangle are equal | opposite angles of parallelogram are also equal |
Why is a rectangle a special parallelogram?
The vertices join the adjacent sides at 90° angles, which means the opposite sides of the rectangle are parallel lines. Since it has two sets of parallel sides and two pairs of opposite sides that are congruent, a rectangle has all of the properties of a parallelogram. That’s why a rectangle is always a parallelogram.
Can a rectangle be a parallelogram?
Why is the area of a parallelogram?
Explanation: The area of a parallelogram is the product of the length of any one side, or its base, and the length of a segment perpendicular to that side, or its height.
Is parallelogram a rectangle?
Since it has two sets of parallel sides and two pairs of opposite sides that are congruent, a rectangle has all of the properties of a parallelogram. That’s why a rectangle is always a parallelogram. However, a parallelogram is not always a rectangle.
Can you make a parallelogram with 2 right triangles?
A parallelogram can always be decomposed into two identical triangles by a segment that connects opposite vertices. Going the other way around, two identical copies of a triangle can always be arranged to form a parallelogram, regardless of the type of triangle being used.