A parallelogram is defined as a quadrilateral where the two opposite sides are parallel. One of the properties of parallelograms is that the opposite angles are congruent, as we will now show.
What is opposite sides are congruent?
Opposite Sides Are Congruent
In geometry, congruent means that two things are identical. If you were to superimpose the shapes on top of each other they would match up exactly. This is true for a parallelogram’s sides. Each of the opposite sides are the same in length.
Are opposite angles congruent in a rhombus?
The basic properties of the rhombus are: The opposite angles are congruent. The diagonals intersect each other at 90 degrees. The diagonals bisect the opposite interior angles.
Are both pairs of opposite angles congruent in a rectangle?
RECTANGLES: 1) Opposite sides are congruent (they equal each other). 2) Opposite angles are congruent (they equal each other). 3) Consecutive angles are supplementary (they add up to 180).
Can opposite angles be supplementary?
In a cyclic quadrilateral, opposite angles are supplementary. If a pair of angles are supplementary, that means they add up to 180 degrees.
What are opposite sides and opposite angles?
In a right triangle, the hypotenuse is the longest side, an “opposite” side is the one across from a given angle, and an “adjacent” side is next to a given angle. We use special words to describe the sides of right triangles. The hypotenuse of a right triangle is always the side opposite the right angle.
What shape is opposite angles are supplementary?
If a quadrilateral is a parallelogram, then its opposite angles are congruent. If a quadrilateral is a parallelogram, then its diagonals bisect each other. If a quadrilateral is a parallelogram, then consecutive angles are supplementary.
What are opposite angles in a parallelogram?
The opposite angles of a parallelogram are equal. The opposite sides of a parallelogram are equal.
What are opposite angles?
When any two straight lines intersect each other, there are different pairs of angles that are formed. The angles that are directly opposite to each other are known as opposite angles. They are also termed as vertical angles or vertically opposite angles and are equal to each other.
What are opposite angles in a rhombus?
The opposite angles of a rhombus are equal. The diagonals of a rhombus bisect each vertex angle. The diagonals of a rhombus bisect each other at right angles.
Does a rhombus have 2 pairs of opposite congruent angles?
A square has two pairs of parallel sides and four right angles. All four of its sides are congruent. The third special parallelogram is called a rhombus. Like a square, a rhombus has four congruent sides and pairs of congruent angles opposite each other.
