why can a square be a rectangle but a rectangle can not be a square.

So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles. However not every rectangle is a square, to be a square its sides must have the same length.

is there a way that a rectangle can be a square without cutting it

yes, well technically a square is a type of rectangle

how can a square be a rectangle it is just a square in't it

A rectangle is just a shape that has four right (90 degree) angles and four sides where opposite sides are parallel. There’s also a special type of rectangle that also has all of the sides be the same length. We call that special type of rectangle a “square”. I hope this helps!

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Basic geometry and measurement

Course: Basic geometry and measurement > Unit 4

Lesson 6: More on quadrilaterals

Quadrilaterals review

CCSS.Math:

4.G.A.2

5.G.B.4

Google Classroom

Review the following quadrilaterals: parallelogram, trapezoid, rhombus, rectangle, and square. Then, try some practice problems.

Quadrilateral Summary

Name	Definition	Example
Quadrilateral	4 sided figure
Parallelogram	2 pairs of parallel sides
Trapezoid	Exactly 1 pair of parallel sides
Rectangle	4 right angles
Rhombus	4 equal sides
Square	4 equal sides and 4 right angles

To learn more about each shape and practice identifying them, keep reading!

What is a quadrilateral?

A quadrilateral is a 4 sided closed figure.

These figures are quadrilaterals:

These figures are NOT quadrilaterals:

The start color #e84d39, start text, f, i, r, s, t, end text, end color #e84d39 figure is not closed.
The start color #e07d10, start text, s, e, c, o, n, d, end text, end color #e07d10 figure has 5 sides

Practice set 1: Identifying quadrilaterals

Problem 1A

Current

Which TWO of the following shapes are quadrilaterals?

Want to learn more about quadrilaterals? Check out these videos:
Types of quadrilaterals
Quadrilateral properties
Classifying quadrilaterals

What is a parallelogram?

A parallelogram is a quadrilateral with 2 pairs of parallel sides. In these figures, sides of the same color are parallel to each other.

[Isn't the second shape a rectangle and the third shape a square?]

Practice set 2: Identifying parallelograms

Problem 2A

Current

Which TWO of the following shapes are parallelograms?

What is a trapezoid?

A trapezoid is a quadrilateral with exactly start color #1fab54, 1, start text, space, p, a, i, r, space, o, f, space, p, a, r, a, l, l, e, l, space, s, i, d, e, s, end text, end color #1fab54.

[Other definitions for trapezoid.]

Problem 3A

Current

Which TWO of the following shapes are trapezoids?

What is a rectangle?

A rectangle is a quadrilateral with 4 right angles.

[Isn't the first shape a square?]

Problem 4A

Current

Which TWO of the following shapes are rectangles?

What is a rhombus?

A rhombus is a quadrilateral with 4 equal sides.

[Isn't the second shape a square?]

Problem 5A

Current

Which TWO of the following shapes are rhombuses?

What is a square?

A square is a quadrilateral with 4 equal sides and 4 right angles.

Problem 6A

Current

Which TWO of the following shapes are squares?

Practice set 7: Pulling it all together

Problem 7A

Current

All parallelograms have opposite sides that are equal in length and parallel.

Which of these quadrilaterals are parallelograms?
The matching arrow labels indicate that two opposite sides are parallel.

	Parallelogram	Not parallelogram

Want to try more problems like this? Check out these exercises:
Identify quadrilaterals
Quadrilateral types
Categorize quadrilaterals

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Spencer Corbett
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why can a square be a rectangle but a rectangle can not be a square.
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  So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles. However not every rectangle is a square, to be a square its sides must have the same length.
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is there a way that a rectangle can be a square without cutting it
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how can a square be a rectangle it is just a square in't it
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- Johanna
  Posted 2 years ago. Direct link to Johanna's post “A rectangle is just a sha...”
  A rectangle is just a shape that has four right (90 degree) angles and four sides where opposite sides are parallel. There’s also a special type of rectangle that also has all of the sides be the same length. We call that special type of rectangle a “square”.
  
  I hope this helps!
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if this gets 20 votes i will buy every bottle of prime
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Hi
Why can a square be a rectangle but a rectangle can’t be a square
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- Abraham
  Posted a month ago. Direct link to Abraham's post “Thus every square is a re...”
  Thus every square is a rectangle because it is a quadrilateral with all four angles right angles. However not every rectangle is a square, to be a square its sides must have the same length. Q. All squares are rectangles but all rectangles are not squares.
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Math_hater _1234
Posted 20 days ago. Direct link to Math_hater _1234's post “Here is a summary of quad...”
Here is a summary of quadrilaterals:

You might ask what is a Quadrilateral?

A quadrilateral is a polygon having four sides, four angles, and four vertices. The word 'quadrilateral' is derived from the Latin words 'quadri,' which means four, and 'latus', which means side.

What do 4 sides of a quadrilateral add up to?

The four angles in any quadrilateral always add to 360 360°, but there are a few key properties of quadrilaterals that can help us calculate other angles. Angles at the intersection of the diagonals are vertically opposite.

What is the definition of a quadrilateral?

A quadrilateral is defined as a two-dimensional shape with four sides, four vertices, and four angles. There are two main types: concave and convex. There are also various subcategories of convex quadrilaterals, such as trapezoids, parallelograms, rectangles, rhombi, and squares.

Anyway that's it and I searched some things from GOOGLE

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Why do the shapes have the same sides but mean different things
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