A polygon is any shape with at least straight sides. Below are some polygons with and sides, respectively:
A polygon with exactly straight sides is called a quadrilateral:
Let's remind ourselves of our table of polygons:
| Number of sides (or vertices) | Name | Shape |
|---|---|---|
| Triangle |
 |
|
| Quadrilateral |
 |
|
| Pentagon |
 |
|
| Hexagon |
 |
|
| Heptagon |
 |
|
| Octagon |
 |
|
| Nonagon |
 |
|
| Decagon |
 |
Place the following words into the sentence below.
(Polygon, Quadrilateral)
A is a that has exactly sides.
By the definition of a quadrilateral, the correct answer is
A quadrilateral is a polygon that has exactly sides.
What word is missing from the sentence below?
$\qquad$ A $\text{___}$ is a polygon that has exactly $4$ sides.
|
a
|
quadrilateral |
|
b
|
polygon |
|
c
|
non-polygon |
|
d
|
triangle |
|
e
|
pentagon |
What word is missing from the sentence below?
$\qquad$ A quadrilateral is a polygon that has exactly $\text{___}$ sides.
|
a
|
$6$ |
|
b
|
$5$ |
|
c
|
$3$ |
|
d
|
$4$ |
|
e
|
$2$ |
There are a few special types of quadrilaterals.
A trapezoid is a quadrilateral with exactly pair of opposite sides parallel to each other:
(Remember that parallel lines would never meet if they were allowed to continue forever.)
A parallelogram is a quadrilateral with pairs of opposite sides parallel to each other:
Which of the shapes below is a parallelogram?
Let's examine the shapes one by one:
Shape I is a triangle since it has only sides.
Shape II is a trapezoid. It has sides and only one pair of parallel sides.
Shape III represents a parallelogram since it has sides and pairs of parallel sides.
Therefore, only III is a parallelogram.
Which of the shapes above is a trapezoid?
|
a
|
I only |
|
b
|
II and III only |
|
c
|
All of the given shapes are rectangles |
|
d
|
III only |
|
e
|
II only |
Which of the shapes above is a parallelogram?
|
a
|
All the given shapes are parallelograms |
|
b
|
II only |
|
c
|
II and III only |
|
d
|
I and III only |
|
e
|
I and II only |
What word is missing from the sentence below?
Any has exactly pair of parallel sides.
- parallelogram
- trapezoid
- quadrilateral
The correct answer is II: trapezoid. The correct sentence is:
Any trapezoid has exactly pair of parallel sides.
By contrast, any parallelogram has exactly pairs of parallel sides, and a quadrilateral can have or pairs of parallel sides.
What word is missing from the sentence below?
$\qquad$ A $\text{___}$ is a quadrilateral with $4$ right angles where not all sides must be equal.
|
a
|
trapezoid |
|
b
|
rectangle |
|
c
|
square |
|
d
|
hexagon |
|
e
|
triangle |
What word is missing from the sentence below?
$\qquad$ A $\text{___}$ is a quadrilateral with equal sides and $4$ right angles.
|
a
|
triangle |
|
b
|
parallelogram |
|
c
|
trapezoid |
|
d
|
square |
|
e
|
rectangle |