November 22, 2021 Alice Henneman

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Why are the opposite angles of a parallelogram equal?

Opposite Angles of a Parallelogram are equal Given: Parallelogram ABCD. We know that alternate interior angles are equal. By ASA congruence criterion, two triangles are congruent to each other. Hence, it is proved that the opposite angles of a parallelogram are equal.

Are opposite angles are equal?

Opposite Angles. Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent (equal in measure).

When all the angles are right angles the parallelogram is A?

A parallelogram where all angles are right angles is a rectangle!

How do you describe any two opposite angles in a parallelogram Brainly?

Two pairs of opposite angles are equal in measure. The diagonals bisect each other. One pair of opposite sides is parallel and equal in length. Adjacent angles are supplementary.

Do all parallelograms have 4 equal sides?

A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal.

Can parallelogram have all right angles?

Right Angles in Parallelograms In a parallelogram, if one of the angles is a right angle, all four angles must be right angles. If a four-sided figure has one right angle and at least one angle of a different measure, it is not a parallelogram; it is a trapezoid.

Do all parallelograms have 90 degree angles?

Solution: A Parallelogram can be defined as a quadrilateral whose two s sides are parallel to each other and all the four angles at the vertices are not 90 degrees or right angles, then the quadrilateral is called a parallelogram.

Can a parallelogram have exactly 2 right angles?

A parallelogram is a quadrilateral with 2 pair of opposite sides parallel. A rectangle is a special parallelogram that has 4 right angles. However, a trapezoid could have one of the sides connecting the two parallel sides perpendicular to the parallel sides which would yield two right angles.

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