Basic Geometry Quiz For Middle School Students

1. A point where two side of triangle meet to form an angle is called

Vertex

Prism

Center point

Apex

The correct answer is vertex. In a triangle, the vertex is the point where two sides of the triangle meet to form an angle. It is also known as the corner or the intersection point of the sides. The vertex is an important concept in geometry and is used to describe the angles and properties of triangles.

Explanation

The correct answer is vertex. In a triangle, the vertex is the point where two sides of the triangle meet to form an angle. It is also known as the corner or the intersection point of the sides. The vertex is an important concept in geometry and is used to describe the angles and properties of triangles.

2. What is a polygon with 9 sides called?

Polygon

Nonagon

Hexagon

Hetragon

A polygon with 9 sides is called a nonagon. The prefix "non-" in nonagon means "nine," so a nonagon is a shape with nine sides. This term is commonly used in geometry to describe a specific type of polygon.

Explanation

A polygon with 9 sides is called a nonagon. The prefix "non-" in nonagon means "nine," so a nonagon is a shape with nine sides. This term is commonly used in geometry to describe a specific type of polygon.

3. What is a 10 sided polygon called?

Heptagon

Octagon

Hexagon

Decagon

A 10-sided polygon is called a decagon.

Explanation

A 10-sided polygon is called a decagon.

4. The radius, the diameter and the chord are all parts of this geometrical shape.

Triangle

Rectangle

Circle

Trapezium

The radius, diameter, and chord are all parts of a circle. The radius is the distance from the center of the circle to any point on its circumference. The diameter is the distance across the circle passing through its center, which is equal to twice the radius. The chord is a line segment that connects two points on the circumference of the circle. Therefore, the correct answer is circle.

Explanation

The radius, diameter, and chord are all parts of a circle. The radius is the distance from the center of the circle to any point on its circumference. The diameter is the distance across the circle passing through its center, which is equal to twice the radius. The chord is a line segment that connects two points on the circumference of the circle. Therefore, the correct answer is circle.

5. Which type of pyramid has six sides?

Hexagonal

Heptagonal

Septagonal

Square

A hexagonal pyramid has six sides. This is because a hexagon is a polygon with six sides, and when it is extended into a three-dimensional shape with a pointy top, it forms a hexagonal pyramid. The other options, heptagonal, septagonal, and square, have seven, seven, and four sides respectively, which do not match the description of a pyramid with six sides.

Explanation

A hexagonal pyramid has six sides. This is because a hexagon is a polygon with six sides, and when it is extended into a three-dimensional shape with a pointy top, it forms a hexagonal pyramid. The other options, heptagonal, septagonal, and square, have seven, seven, and four sides respectively, which do not match the description of a pyramid with six sides.

6. What is the formula to find the area of a circle?

2πr²

πr²

2πr

πr

The formula to find the area of a circle is πr². This formula is derived from the fact that the area of a circle is equal to the product of π (pi) and the square of the radius (r). The symbol π represents the mathematical constant pi, which is approximately equal to 3.14159. Multiplying π by the square of the radius gives us the area of the circle.

Explanation

The formula to find the area of a circle is πr². This formula is derived from the fact that the area of a circle is equal to the product of π (pi) and the square of the radius (r). The symbol π represents the mathematical constant pi, which is approximately equal to 3.14159. Multiplying π by the square of the radius gives us the area of the circle.

7. Which type of triangle has only two sides equal?

Isosceles

Equilateral

Scalene

Obtuse

An isosceles triangle has only two sides equal. In an isosceles triangle, two sides are of equal length, while the third side is of a different length. This type of triangle can also have two equal angles opposite the equal sides. Equilateral triangles have all three sides and angles equal, scalene triangles have no sides or angles equal, and obtuse triangles have one angle greater than 90 degrees.

Explanation

An isosceles triangle has only two sides equal. In an isosceles triangle, two sides are of equal length, while the third side is of a different length. This type of triangle can also have two equal angles opposite the equal sides. Equilateral triangles have all three sides and angles equal, scalene triangles have no sides or angles equal, and obtuse triangles have one angle greater than 90 degrees.

8. What is a ray?

A part of line that has one fixed point.

A part of line that does not have a fixed point.

A part of line that has two fixed points.

None of the above

A ray is a part of a line that starts at a fixed point called the endpoint and extends infinitely in one direction. It has one fixed point, which is the endpoint, and it continues indefinitely in the other direction.

Explanation

A ray is a part of a line that starts at a fixed point called the endpoint and extends infinitely in one direction. It has one fixed point, which is the endpoint, and it continues indefinitely in the other direction.

9. A trapezoid has

Two parallel sides

Two non-parallel sides

Four sided closed shape

All of the above

The correct answer is "all of the above" because a trapezoid is defined as a four-sided closed shape with two parallel sides and two non-parallel sides. Therefore, all the given options are true for a trapezoid.

Explanation

The correct answer is "all of the above" because a trapezoid is defined as a four-sided closed shape with two parallel sides and two non-parallel sides. Therefore, all the given options are true for a trapezoid.

10. Pick odd one out according to the geometrical shapes.

Triangle

Diamond

Circle

Square

The diamond is the odd one out because it is the only shape that is not a regular polygon. The triangle, circle, and square are all regular polygons with specific properties, such as equal sides and angles. However, a diamond is a quadrilateral with two pairs of equal adjacent sides, but its angles are not necessarily equal. Therefore, the diamond does not fit the pattern of the other shapes and is the correct answer.

Explanation

The diamond is the odd one out because it is the only shape that is not a regular polygon. The triangle, circle, and square are all regular polygons with specific properties, such as equal sides and angles. However, a diamond is a quadrilateral with two pairs of equal adjacent sides, but its angles are not necessarily equal. Therefore, the diamond does not fit the pattern of the other shapes and is the correct answer.