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##### Asked by: Yovana Eulalia

technology and computing computer peripherals# Are the two diagonals of a parallelogram equal?

**parallelogram**is divided into

**two**triangles we get to see that the angles across the common side( here the

**diagonal**) are

**equal**. This proves that the opposite angles in a

**parallelogram**are also

**equal**. The

**diagonals of a parallelogram**are not of

**equal**length.

Also to know is, are diagonals of a parallelogram congruent?

All the properties of a **parallelogram** apply (the ones that matter here are parallel sides, opposite sides are **congruent**, and **diagonals** bisect each other). All angles are right angles by definition. The **diagonals** are **congruent**.

**diagonals of a parallelogram**are

**not**equal. Because the

**parallelogram**has adjacent angles as acute and obtuse, the

**diagonals**split the figure into 2 pairs of

**congruent**triangles. Since the angles are acute or obtuse, two of the shorter sides of the triangles, both acute and obtuse are

**congruent**.

In this manner, what is the diagonal of a parallelogram?

**Diagonal** of **Parallelogram** Formula A **parallelogram** is a quadrilateral whose opposite sides are parallel and equal. The opposite sides being parallel and equal, forms equal angles on the opposite sides. Diagonals of a **parallelogram** are the segments which connect the opposite corners of the figure.

The **two diagonals** are congruent (same length). Each **diagonal** bisects the other. In other words, the point where the **diagonals** intersect (cross), divides each **diagonal** into **two equal** parts. Each **diagonal** divides the **rectangle** into **two** congruent right triangles.