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Asked by: Garett Gleason
Updated: 7 August 2021 11:28:00 PM

Which shape is always a parallelogram?

A square is a parallelogram. This is always true. Â Squares are quadrilaterals with 4 congruent sides and 4 right angles, and they also have two sets of parallel sides. Parallelograms are quadrilaterals with two sets of parallel sides.

In light of this, is a parallelogram always a rectangle?

Its properties include that each pair of opposite sides is parallel, also making it a parallelogram. In summary, all squares are rectangles, but not all rectangles are squares. All rectangles are parallelograms, but not all parallelograms are rectangles. And all of these shapes are quadrilaterals.

Furthermore, is a parallelogram always a rhombus?

A rhombus is a quadrilateral (plane figure, closed shape, four sides) with four equal-length sides and opposite sides parallel to each other. All rhombuses are parallelograms, but not all parallelograms are rhombuses. The opposite interior angles of rhombuses are congruent.

In the same vein is a parallelogram always a trapezoid?

**Since a parallelogram has two pairs of parallel sides then it has at least one pair of parallel sides. Therefore, all parallelograms are also classified as trapezoids.
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Related questions and answers

Can a quadrilateral have no obtuse angles?

It is possible for a quadrilateral to have no obtuse angles if all four angles are exactly 90∘ .

Does a rhombus have a 90 angle?

The intersection of the diagonals of a rhombus form 90 degree (right) angles. This means that they are perpendicular. The diagonals of a rhombus bisect each other. This means that they cut each other in half.

Can a parallelogram have 4 right angles?

Rectangle: A parallelogram with 4 right angles. Rhombus: A parallelogram with 4 sides with equal length.

Are opposite angles equal in a kite?

The two interior angles of a kite that are on opposite sides of the symmetry axis are equal.

Does a kite have 4 congruent sides?

To be a kite, a quadrilateral must have two pairs of sides that are equal to one another and touching. This makes two pairs of adjacent, congruent sides. Your kite could have four congruent sides. Your quadrilateral would be a kite (two pairs of adjacent, congruent sides) and a rhombus (four congruent sides).

Does a rhombus have obtuse angles?

-The only time a rhombus doesn't have any obtuse angles is when it's a square (all right angles). A rhombus by definition has four equal sides, which also means that if you draw diagonals from each corner to the opposite corner, they intersect at 90 degrees.

How many obtuse angles are in a quadrilateral?

Answer. The angles which are greater than 90° are called Obtuse and Those which are less than 90° are called acute angles Hence, A quadrilateral Can have 3 obtuse angles

Can a 4 sided shape have 4 obtuse angles?

A quadrilateral cannot have four obtuse angles. An obtuse angle is one which measures greater than 90 degrees and less than 180 degrees.

Does a parallelogram have all sides congruent?

One special kind of polygons is called a parallelogram. It is a quadrilateral where both pairs of opposite sides are parallel. If we have a parallelogram where all sides are congruent then we have what is called a rhombus.

Why can't a quadrilateral have 4 obtuse angles?

A quadrilateral cannot have four obtuse angles. Since an obtuse angle measures greater than 90 degrees, if there were four of them in one quadrilateral, the sum of the measures of the angles would be greater than 360 degrees. This is not possible.

What does the inside of a kite equal?

By definition, a kite is a polygon with four total sides (quadrilateral). The sum of the interior angles of any quadrilateral must equal: degrees degrees degrees. Additionally, kites must have two sets of equivalent adjacent sides & one set of congruent opposite angles.

What are the 4 properties of a rhombus?

A rhombus is a quadrilateral which has the following four properties:
  • Opposite angles are equal.
  • All sides are equal and, opposite sides are parallel to each other.
  • Diagonals bisect each other perpendicularly.
  • Sum of any two adjacent angles is 180°

What is a 4 sided shape with no equal sides called?

Irregular Quadrilateral: a four-sided shape where no sides are equal in length and no internal angles are the same.

What shape is a rhombus?

In plane Euclidean geometry, a rhombus (plural rhombi or rhombuses) is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length.

What are the 5 properties of a kite?

Kite properties include (1) two pairs of consecutive, congruent sides, (2) congruent non-vertex angles and (3) perpendicular diagonals. Other important polygon properties to be familiar with include trapezoid properties, parallelogram properties, rhombus properties, and rectangle and square properties.

Is Kite a rhombus?

A kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other and only one pair of opposite angles are equal. All sides of a rhombus are equal and opposite angles are equal. So, all kites are not rhombuses.

Does a parallelogram have a 90 degree angle?

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. The opposite sides of parallelogram are also equal in length.

Does a rhombus have 4 90 degree angles?

No, because a rhombus does not have to have 4 right angles. A square has got 4 sides of equal length and 4 right angles (right angle = 90 degrees). A Rhombus has got 4 sides of equal length and opposite sides are parallel and angles are equal.

Does a rhombus have 4 right angles?

A square has two pairs of parallel sides, four right angles, and all four sides are equal. It is also a rectangle and a parallelogram. A rhombus is defined as a parallelogram with four equal sides. No, because a rhombus does not have to have 4 right angles.

Can a kite have 2 right angles?

Thus the right kite is a convex quadrilateral and has two opposite right angles. If there are exactly two right angles, each must be between sides of different lengths. All right kites are bicentric quadrilaterals (quadrilaterals with both a circumcircle and an incircle), since all kites have an incircle.

What is a quadrilateral that is not a parallelogram?

An ordinary quadrilateral with no equal sides is not a parallelogram. A kite has no parallel lines at all. A trapezium and and an isosceles trapezium have one pair of opposite sides parallel. A Concave quadrilateral or arrowhead does not have parallel sides.

What are some real life examples of a rhombus?

A kite is a real life example of a rhombus shape.
The length of all four sides is equal, and the opposite angles are equal.

Can a kite have 3 obtuse angles?

A kite can have two right angles, one obtuse angle and 1 acute angle, although it could also have three obtuse and one acute angle.

Does a rhombus have 4 congruent sides?

Like a square, a rhombus has four congruent sides and pairs of congruent angles opposite each other. However, right angles are not required for a rhombus.

Can Rhombus have 90 degree angles?

Explanation: As a parallelogram, rhombus has a sum of two interior angles that share a side equal to 180∘ . Therefore, only if all angles are equal, they all are equal to 90∘ .

Why is a kite not a rhombus?

Kites are a special type of quadrilateral with two distinct pairs of consecutive sides the same length. Because rhombi and squares also have sides the same length, they are also kites, but the reverse is not true. Every kite is not a rhombus, because all sides of a kite are not equal.

What is a shape with only two right angles?

The quadrilateral that can have only two right angles is a trapezoid.