Fourth Grade/What I Learned About Polygons Unit Test

1.

In your own words provide five reasons that explain why a right triangle is a polygon.

2.

Which of these shapes are not polygons?

A.

Hexagon
B.

Parallelogram
C.

Quadrilateral
D.

Sphere
E.

All of the above

Correct Answer
D. Sphere

Explanation
A polygon is a closed figure with straight sides. A hexagon, parallelogram, and quadrilateral are all examples of polygons as they have straight sides and are closed figures. However, a sphere is not a polygon as it is a three-dimensional object with curved surfaces. Therefore, the correct answer is "Sphere."

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3.

A polygon is regular when all sides are...

A.

Straight
B.

Straight and Curved
C.

Curved
D.

Inward
E.

All the same length

Correct Answer
E. All the same length

Explanation
A regular polygon is defined as a polygon where all sides are of the same length. This means that each side of the polygon has the exact same measurement, resulting in a shape with equal sides. The other options, such as straight, curved, or inward, do not define a regular polygon as they do not specify that all sides are of equal length.

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4.

Is this statement true or false? Polygons can be identified in people and objects.

Correct Answer
True

Explanation
Polygons are two-dimensional shapes with straight sides, such as triangles, squares, and pentagons. While it is true that polygons can be identified in people and objects, it is important to note that this identification is based on the presence of geometric shapes that resemble polygons within those objects or people. For example, a person's face can be seen as a polygon if we consider the outline of their features, or a building can have polygonal shapes in its architecture. However, it is crucial to understand that this identification is subjective and depends on the interpretation of the observer.

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5.

Which explanation best describes a polygon?

A.

They always have straight sides.
B.

One angle must be 90 degrees.
C.

The sides are always the same length.
D.

Two sides must be concave.
E.

None of the above.

Correct Answer
A. They always have straight sides.

Explanation
A polygon is a closed figure with straight sides, so the explanation "They always have straight sides" best describes a polygon. This means that all the sides of a polygon are straight line segments connecting consecutive vertices. A polygon can have any number of sides, as long as they are all straight. The other options do not accurately describe polygons.

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6.

Name a regualr polygon with 4 sides.

Correct Answer
Quadrilateral
Parallelogram
Square
Rectangle
Diamond

Explanation
A regular polygon is a polygon that has all sides of equal length and all angles of equal measure. A quadrilateral is a polygon with four sides, and it can have different angles and side lengths. A parallelogram is a quadrilateral with opposite sides that are parallel. A square is a special type of parallelogram with all sides of equal length and all angles of 90 degrees. A rectangle is a parallelogram with all angles of 90 degrees, but opposite sides are not necessarily equal. A diamond is not a regular polygon because it does not have all sides of equal length.

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7.

Which is an example of a polygon?

A.

Kite
B.

Ball
C.

Ring
D.

Bell
E.

Rock

Correct Answer
A. Kite

Explanation
A kite is an example of a polygon because it is a two-dimensional shape with straight sides. A polygon is a closed figure with three or more sides, and a kite fits this definition as it has four sides that are straight and connected to form a closed shape.

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8.

The line segments of a polygon must never do this?

Correct Answer
Intersect
Overlap
Cross
Touch

Explanation
The line segments of a polygon must never intersect, overlap, cross, or touch. These actions would result in the formation of invalid polygons. Intersecting line segments would create additional points of intersection, making it difficult to define the shape of the polygon. Overlapping line segments would cause ambiguity in determining the boundaries of the polygon. Crossing line segments would create a tangled and unclear structure. Finally, if the line segments of a polygon touch each other, it would result in a degenerate polygon with collapsed sides. Therefore, all of these actions should be avoided to maintain the integrity of a polygon.

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9.

All polygons are two dimensional?

A.

False
B.

True

Correct Answer
A. False

Explanation
This statement is false because not all polygons are two-dimensional. A polygon is a closed figure with straight sides, but it can exist in different dimensions. For example, a polygon can be two-dimensional (such as a square or triangle), or it can be three-dimensional (such as a pyramid or prism). Therefore, the statement that all polygons are two-dimensional is incorrect.

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10.

A shape can not be a polygon if if has two side because it is not a _________figure.

Correct Answer
Closed

Explanation
A shape cannot be a polygon if it has two sides because it is not a closed figure. A polygon is a closed figure made up of straight sides, and it must have at least three sides. If a shape has only two sides, it is an open figure and does not meet the criteria to be classified as a polygon. Therefore, the correct answer is "closed".

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