Parallelogram- 4-sided flat shape with straight sides where opposite sides are parallel.
- Opposite sides are parallel and congruent
- The diagonals bisect each other
- Opposite angles are congruent
The sum of vectors is obtained by placing the vectors tail-to-end. That forms two sides of a parallelogram. The sum is the vector joining the first's tail and the second's end, which if you draw the picture, is just the diagonal of the parallelogram formed by the vectors.
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Rectangle- A rectangle is a quadrilateral with four right angles.
(1) opposite sides that are parallel,
(2) opposite angles that are congruent,
(3) opposite sides that are congruent,
(4) consecutive angles that are supplementary, and
(5) diagonals that bisect each other.
A plane figure with four straight sides and four right angles, esp. one with unequal adjacent sides, in contrast to a square
Rhombus- A rhombus is a quadrilateral with four congruent sides.
(1) Consecutive sides of a rhombus are congruent.
(2) The diagonals of a rhombus bisect pairs of opposite angles.
(3) The diagonals of a rhombus are perpendicular.
A parallelogram with opposite equal acute and obtuse angles and four equal sides
(2) The diagonals of a rhombus bisect pairs of opposite angles.
(3) The diagonals of a rhombus are perpendicular.
A parallelogram with opposite equal acute and obtuse angles and four equal sides
Square- A square is a parallelogram with four congruent sides and four congruent angles.
- All four sides are congruent
- Opposite sides are parallel
- The diagonals bisect each other at right angles
- The diagonals are congruent
sided regular polygon with all sides equal, all interior angles 90° and whose location on the coordinate plane is determined by the coordinates of the four vertices (corners).
Facts
In non-Euclidean geometry, squares are more generally polygons with 4 equal sides and equal angles.
In hyperbolic geometry, squares with right angles do not exist. Rather, squares in hyperbolic geometry have angles of less than right angles. Larger hyperbolic squares have smaller angles.
In hyperbolic geometry, squares with right angles do not exist. Rather, squares in hyperbolic geometry have angles of less than right angles. Larger hyperbolic squares have smaller angles.
Kite- A kite is a quadrilateral in which two disjoint pairs of consecutive sides are congruent
Two disjoint pairs of consecutive sides are congruent by definition
The diagonals are perpendicular.
The opposite angles at the endpoints of the cross diagonal are congruent
4-sided flat shape with straight sides that:
* has two pairs of sides.
* each pair is adjacent sides (they meet) that are equal in length.
Also, the angles are equal where the pairs meet.
Diagonals (dashed lines) meet at a right angle, and one of the diagonal bisects (cuts equally in half) the other.
The diagonals are perpendicular.
The opposite angles at the endpoints of the cross diagonal are congruent
4-sided flat shape with straight sides that:
* has two pairs of sides.
* each pair is adjacent sides (they meet) that are equal in length.
Also, the angles are equal where the pairs meet.
Diagonals (dashed lines) meet at a right angle, and one of the diagonal bisects (cuts equally in half) the other.
Trapezoid- a quadrilateral with exactly one pair of parallel sides
- The properties of trapezoid apply by definition (parallel bases).
- The legs are congruent by definition.
- The lower base angles are congruent.
- The upper base angles are congruent.
- Any lower base angle is supplementary to any upper base angle.
- The diagonals are congruent.
Essay-
All of the shapes have four sides but they are not all the same, The parallelogram has sides that are straight and the sides are Parallel to each other and the angles are congruent to each other. A Rectangle also has sides that are parallel to each other and also has diagonals that bisect each other. A Rhombus looks like a kite and has sides that are congruent to each other, The diagonals of a rhombus are perpendicular. A square has four sides that are all congruent and parallel to each other, it also has diagonals that are congruent. A trapezoid has four sides just like all the other sides but it only has exactly one pair of parallel sides, Both lower and upper angles are congruent.
All of the shapes have four sides but they are not all the same, The parallelogram has sides that are straight and the sides are Parallel to each other and the angles are congruent to each other. A Rectangle also has sides that are parallel to each other and also has diagonals that bisect each other. A Rhombus looks like a kite and has sides that are congruent to each other, The diagonals of a rhombus are perpendicular. A square has four sides that are all congruent and parallel to each other, it also has diagonals that are congruent. A trapezoid has four sides just like all the other sides but it only has exactly one pair of parallel sides, Both lower and upper angles are congruent.