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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.