Which shapes are squares

Triangles are just shapes with 3 straight sides. They can be big or small and can look somewhat different. Depending on the angles and the sides we can sort the triangles into different types. It is not hard to see that every triangle falls into exactly one of these three groups. Every triangle is either an acute triangle, an obtuse triangle, or a right triangle. Note that in general the 4-gons can look pretty strange and irregular.

There are a handful of special cases we care about. Compare quadri- to Spanish cuatro. Just as triangles and quadrilaterals are special types of polygons, there are many subclasses of quadrilaterals.

Like all polygons that have more than three sides, quadrilaterals can be convex like these , , , or concave like these ,. Quadrilaterals can be classified by whether or not their sides, angles, diagonals, or vertices have special properties.

The classification schemes taught in elementary school involve the number of pairs of parallel sides, and the congruence of sides, and whether or not all the angles are right angles all angles are congruent. The names of many of these special quadrilaterals are also typically part of the elementary curriculum, though little else about the properties of these figures may be studied until high school. Elementary school typically has children learn the names of.

The square is also the name of the regular quadrilateral — one in which all sides are congruent and all angles are congruent. Though the names that are given to individual figures does not change, the way that they are grouped may depend on the characteristics used to sort them.

In the classification scheme below, rectangles F and B have the right hand column to themselves, but parallelograms are not grouped in a way that excludes A , which is not a parallelogram. Children in primary grades often find it hard to assign anything geometrical or otherwise simultaneously to two categories.

Similarly, students tend to treat rectangles and parallelograms as disjoint classes, rather than seeing a rectangle as a special type of parallelograms.

A square is a flat two-dimensional shape that has four equal sides, four interior right angles, and four vertices. A rectangle is a two-dimensional shape in which the opposite sides are equal. It has four equal angles and four vertices. The important differences between a square and a rectangle are listed in the table given below.

As per the Pythagoras theorem Pythagorean theorem , the length of the diagonal of a square is the product of the square root of 2 and the side of the square. As per the Pythagoras theorem Pythagorean theorem , the length of the diagonal of a rectangle is the square root of the sum of squares of the length and width. We call a square a special type of rectangle because they both share some common properties which are listed below.

Check now a few more interesting articles based on the Difference Between a Square and a Rectangle. Example 1: Find the area of the following shapes with the given measurements.

Example 2: Find the perimeter of i A square-shaped photo frame with a side measuring 10 units and ii A rectangular photo frame with a length of 12 units and width of 7 units.

The property of a square that makes it different from a rectangle is as follows: A square has all its four sides equal. Example 2: There is a park near Sam's house. The length of the sides of the park is meters, meters, meters, and meters.

Determine whether the park is a square or a rectangle. The length of each side of the park is given as meters, meters, meters, and meters. Now, we know that all four sides of a square are equal.

Hence, this is not a square. Given that a rectangle has opposite sides equal, we can see that the given dimensions are of a rectangle, and not a square. The answer is Yes. A square is a rectangle because it possesses all the properties of a rectangle. These properties are:. Squares possess some additional properties which do not apply to rectangles. A square has all four sides equal whereas, in a rectangle, only the opposite sides are equal.

A square is both a rectangle and a rhombus because it possesses the properties of rectangles and rhombuses. If you are also looking for the answer to the question - is a rhombus a rectangle, the answer is no. This statement is true. A square is a special type of rectangle because it possesses all the properties of a rectangle. The rectangle does not necessarily have all four sides of equal measure.