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Basic geometry and measurement

Course: Basic geometry and measurement>Unit 4

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

NameDefinitionExample
Parallelogram2 pairs of parallel sides
TrapezoidExactly 1 pair of parallel sides
Rectangle4 right angles
Rhombus4 equal sides
Square4 equal sides and 4 right angles

A quadrilateral is a 4 sided closed figure.
A shape with four sides. The shape has one set of parallel sides and does not have any right angles.
A shape with four sides. The adjacent sides are of unequal length. The shape has two sets of parallel sides and does not have any right angles.
An open shape with five sides.
A shape with five sides of equal length.
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

Problem 1A
• Current
Which TWO of the following shapes are 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.
A shape with four sides of equal length. The shape has two sets of parallel sides and does not have right angles.
A shape with four sides. The adjacent sides are of unequal length. The shape has two sets of parallel sides and has four right angles.
A shape with four sides of equal length. The shape has two sets of parallel sides and has four right angles.

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.
A shape with four sides. The shape has one set of parallel sides and does not have right angles.
A shape with four sides. The shape has one set of parallel sides and has two right angles.
Problem 3A
• Current
Which TWO of the following shapes are trapezoids?

What is a rectangle?

A rectangle is a quadrilateral with 4 right angles.
A shape with four sides of equal length. The shape has two sets of parallel sides and has four right angles.
A shape with four sides. The adjacent sides are of unequal length. The shape has two sets of parallel sides and has four right angles.
Problem 4A
• Current
Which TWO of the following shapes are rectangles?

What is a rhombus?

A rhombus is a quadrilateral with 4 equal sides.
A shape with four sides of equal length. The shape has two sets of parallel sides and does not have right angles.
A shape with four sides of equal length. The shape has two sets of parallel sides and has four right angles.
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.
A shape with four sides of equal length. The shape has two sets of parallel sides and has four right angles.
A shape with four sides of equal length. The shape has two sets of parallel sides and has four 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.

Want to try more problems like this? Check out these exercises:

Want to join the conversation?

• 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.
• Can I get 10 likes 4 a badge?
Mr omlid🤓
• me too
• 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
(1 vote)
• 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!
• if this gets 20 votes i will buy every bottle of prime
• Hi
Why can a square be a rectangle but a rectangle can’t be a square
• 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.
(1 vote)
• Here is a summary of quadrilaterals:

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.

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.

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