1.
The set of all points in a plane that are the same distance from a given point called the center.
Correct Answer
A. Circle
Explanation
A circle is defined as the set of all points in a plane that are equidistant from a given point called the center. This means that any point on the circle is the same distance away from the center. Therefore, the correct answer is circle.
2.
A segment that passes through the center of a circle and has both endpoints on the circle.
Correct Answer
C. Diameter
Explanation
A diameter is a segment that passes through the center of a circle and has both endpoints on the circle. It is the longest chord in a circle and divides the circle into two equal halves. The radius, on the other hand, is a segment that connects the center of the circle to any point on the circumference. Length and width are not specific to circles and do not have the same definition as diameter.
3.
A segment that has one endpoint at the center and the other endpoint on the circle.
Correct Answer
D. Radius
Explanation
A radius is a segment that has one endpoint at the center of a circle and the other endpoint on the circle itself. It represents the distance from the center of the circle to any point on the circle's circumference.
4.
3.14 or 22/7
Correct Answer
B. Pi
Explanation
Pi is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is commonly approximated as 3.14 or 22/7. In this case, the given options "Pie," "Pi," "Pii," and "Random Number" all refer to different ways of representing or referring to Pi. Therefore, the correct answer is Pi.
5.
The space inside of a 2D shape.
Correct Answer
B. Area
Explanation
The area of a 2D shape refers to the space enclosed by the shape. It is a measure of the surface covered by the shape and is typically expressed in square units. The area can be calculated by multiplying the length and width of the shape for regular shapes like rectangles and squares, or by using specific formulas for irregular shapes like triangles and circles. The concept of area is important in various fields such as geometry, architecture, and physics, as it helps determine the amount of material needed or the amount of space occupied by an object.
6.
The distance around a circle.
Correct Answer
B. Circumference
Explanation
The term "circumference" refers to the distance around a circle. It is the measurement of the outer boundary of a circle. This term is specifically used to describe the length of the boundary of a circle and is different from other measurements like area or volume, which are used to describe the space inside or occupied by the circle. Therefore, "circumference" is the correct answer in this case.
7.
"Closed" 2-dimensional shapes made up of straight lines.
Correct Answer
D. Polygon
Explanation
A polygon is a closed 2-dimensional shape made up of straight lines. It can have any number of sides, as long as the sides are straight and do not intersect. Triangles, rectangles, and circles are all examples of polygons. A triangle is a polygon with three sides, a rectangle is a polygon with four sides, and a circle can be considered as a polygon with an infinite number of sides. Therefore, the correct answer is polygon.
8.
"Closed" 2-dimensional shapes made up of straight lines with all sides and angles of equal measure.
Correct Answer
C. Regular Polygon
Explanation
A regular polygon is a closed 2-dimensional shape made up of straight lines with all sides and angles of equal measure. This means that all the sides of a regular polygon have the same length and all the angles between the sides are equal. A sphere is a 3-dimensional shape, not a 2-dimensional shape made up of straight lines. A circle is also a 2-dimensional shape, but it is not made up of straight lines. A triangular prism is a 3-dimensional shape that has straight lines, but it does not have all sides and angles of equal measure like a regular polygon. Therefore, the correct answer is Regular Polygon.