Quiz On Geometry: Polygons

1. An pentagon has five sides and five _____.

Angles

Curves

Parallel

Edges

Surfaces

A pentagon has five sides, and since each side forms an angle with the adjacent side, it also has five angles. Therefore, the correct answer is angles.

Explanation

A pentagon has five sides, and since each side forms an angle with the adjacent side, it also has five angles. Therefore, the correct answer is angles.

2. The formula for the area of a triangle is _____.

Half base times height

Base times height

Pi times radius squared

Side squared

Two times base times height

The formula for the area of a triangle is half base times height. This formula is derived from the fact that the area of a triangle is equal to half the product of its base and height. By multiplying the base and height and then dividing the result by 2, we can find the area of any triangle.

Explanation

The formula for the area of a triangle is half base times height. This formula is derived from the fact that the area of a triangle is equal to half the product of its base and height. By multiplying the base and height and then dividing the result by 2, we can find the area of any triangle.

3. This is a closed figure made of straight sides and is two dimensional.

Parallel lines

Circle

Polygon

Right angle

Cube

A polygon is a closed figure made of straight sides and is two-dimensional. It can have any number of sides, as long as they are all straight lines. Examples of polygons include triangles, squares, pentagons, and hexagons. The other options, such as parallel lines, circle, right angle, and cube, do not fit the description of a closed figure made of straight sides.

Explanation

A polygon is a closed figure made of straight sides and is two-dimensional. It can have any number of sides, as long as they are all straight lines. Examples of polygons include triangles, squares, pentagons, and hexagons. The other options, such as parallel lines, circle, right angle, and cube, do not fit the description of a closed figure made of straight sides.

4. This is a polygon with one set of parallel sides.

Square

Trapezoid

Triangle

Circle

Rhombus

A trapezoid is a polygon with one set of parallel sides. This means that two sides of the trapezoid are parallel to each other, while the other two sides are not. In contrast, a square has four equal sides and four right angles, a triangle has three sides, a circle is a curved shape with no straight sides or angles, and a rhombus has four equal sides but does not have any parallel sides. Therefore, the correct answer is trapezoid.

Explanation

A trapezoid is a polygon with one set of parallel sides. This means that two sides of the trapezoid are parallel to each other, while the other two sides are not. In contrast, a square has four equal sides and four right angles, a triangle has three sides, a circle is a curved shape with no straight sides or angles, and a rhombus has four equal sides but does not have any parallel sides. Therefore, the correct answer is trapezoid.

5. The formula for the area of a parallelogram is _____.

Half base x height

Width x length x height

Base squared

Base x height

Area = pi x radius

The formula for the area of a parallelogram is base x height. This is because the area of a parallelogram is equal to the product of its base and height.

Explanation

The formula for the area of a parallelogram is base x height. This is because the area of a parallelogram is equal to the product of its base and height.

6. A swimming pool with a radius of 4 feet has an area of _____.

3.14 square feet

25.12 square feet

50.24 square feet

4 square feet

12.56 square feet

The correct answer is 50.24 square feet. The area of a circle is calculated using the formula A = πr^2, where A is the area and r is the radius. Plugging in the given radius of 4 feet into the formula, we get A = 3.14 * (4^2) = 3.14 * 16 = 50.24 square feet.

Explanation

The correct answer is 50.24 square feet. The area of a circle is calculated using the formula A = πr^2, where A is the area and r is the radius. Plugging in the given radius of 4 feet into the formula, we get A = 3.14 * (4^2) = 3.14 * 16 = 50.24 square feet.