Geometry: Segment Questions! Trivia Quiz

A triangle is a polygon with three vertices. It is the only option given that has three vertices. A quadrilateral has four vertices, a pentagon has five vertices, and a hexagon has six vertices. Therefore, the correct answer is triangle.

A 4-sided shape is called a quadrilateral. The term "quad" means four, and "lateral" refers to sides. Therefore, a quadrilateral is a polygon with four sides. This term is commonly used in geometry to describe various shapes such as squares, rectangles, parallelograms, and trapezoids, among others.

The correct answer is quadrilateral because a quadrilateral is a polygon with four vertices. A pentagon has five vertices, an octagon has eight vertices, and a decagon has ten vertices. Therefore, the only option with four vertices is a quadrilateral.

The smallest angle is the acute angle. Acute angles are less than 90 degrees and have a smaller measure compared to right angles (90 degrees) and obtuse angles (greater than 90 degrees).

The given answer, "Pentagon," is correct because a pentagon is a polygon with five vertices. A polygon is a closed shape with straight sides, and a pentagon specifically has five sides and five angles. Therefore, out of the options provided, the shape that matches the description of having five vertices is a pentagon.

The shape in question is a pyramid. A pyramid is a three-dimensional geometric figure with a polygonal base and triangular faces that converge to a single point called the apex. The given shape fits this description, as it has a square base and triangular faces that meet at the top.

The answer is octagon because an octagon is a polygon with 8 sides. The other options listed are not polygons with 8 sides. A decagon has 10 sides, a triangle has 3 sides, and a heptagon has 7 sides. Therefore, the correct answer is octagon.

The given answer "hexagon" is the correct choice because a hexagon is a polygon with six vertices. A polygon is a closed figure with straight sides, and a hexagon specifically has six sides and six angles. The other options mentioned, such as pentagon and quadrilateral, have fewer sides and vertices, while "right angle" is not a polygon at all but refers to a specific type of angle. Therefore, the correct answer is hexagon.

The question asks whether the given shape is a polygon or not. The answer is "No" because a polygon is a closed figure with straight sides, and the given shape does not have straight sides.

An obtuse angle is greater than a right angle (90 degrees) and an acute angle (less than 90 degrees). Therefore, the biggest angle among the options is the obtuse angle.

The correct answer is decagon because a decagon is a polygon with 10 sides. An octagon has 8 sides, a rectagon does not exist (it should be called a rectangle), and a nonegon does not exist (it should be called a nonagon). Therefore, the only option that matches the given number of vertices is a decagon.

A polygon is defined as a closed figure with straight lines. Since the given figure is closed and consists of straight lines, it meets the criteria for being a polygon. Therefore, the correct answer is "Yes".

A heptagon is a polygon with seven sides. In the given list of vertices, there are only four options mentioned - nonegon, heptagon, decagon, and octagon. Among these options, the only one with seven sides is the heptagon. Therefore, the correct answer is heptagon.

The given shape is a cube because it has six equal square faces and all the edges are of the same length.

The point where the two axes meet on a coordinate plane is called the origin. It is represented by the coordinates (0,0) and serves as the starting point for measuring distances and plotting points on the plane. The x-axis represents the horizontal line and the y-axis represents the vertical line, while the origin is the intersection point of these two axes.

Two angles are considered complementary if their sum is equal to 90 degrees. This means that when you add the measures of two complementary angles together, the result will always be 90 degrees. Therefore, the statement "Two angles are complementary if they sum of 90 degrees" is true.

A line pair consists of two angles that are supplementary, meaning they add up to 180 degrees.

A supplementary angle refers to two angles that, when added together, result in a total of 180 degrees. Therefore, it is true that a supplementary angle consists of two angles that add up to 180 degrees.

A line pair consists of two angles that are formed when a straight line intersects another line. The sum of these two angles is always 180 degrees.

A rectangular prism is a three-dimensional shape that has six rectangular faces. It is different from a cube because a cube has all sides equal in length, while a rectangular prism can have different lengths for its sides. A square is a two-dimensional shape with four equal sides, so it is not the correct answer. Therefore, the correct answer for this question is a rectangular prism.

The question asks whether the given shape is a polygon. Since the answer is "No," it implies that the shape does not meet the necessary criteria to be considered a polygon. To be a polygon, a shape must be a closed figure with straight sides. However, without further information or a clear description of the shape, it is not possible to provide a specific reason as to why it is not a polygon.

A complementary angle is defined as two angles that add up to 90 degrees. This means that when you add the measures of the two angles together, the sum will always be equal to 90 degrees. Therefore, the statement that a complementary angle is two angles that add up to 90 degrees is true.

Two angles are said to be complementary if their sum is equal to 90 degrees. In other words, when you add the measures of two complementary angles, the result will always be 90 degrees. Therefore, the statement "Two angles are complementary if they sum of 90 degrees" is true.

The correct answer is 3d because the question is asking whether the shape is 2-dimensional or 3-dimensional. The answer "3d" indicates that the shape is three-dimensional, meaning it has length, width, and depth.

Two angles are congruent if they have the same measure. This means that the angles have the same degree of opening and are equal in size. Congruent angles can be found in various geometric shapes and are an important concept in geometry.

Two angles are congruent if they have the same measure. Congruent angles are identical in size and shape, even if they are in different positions or orientations. This means that if two angles have the same measure, they can be considered congruent. Linear angles are angles that are on the same straight line and add up to 180 degrees, while supplementary angles are two angles that add up to 180 degrees when combined. However, neither of these options describes angles that have the same measure, so the correct answer is congruent.

A sphere is a three-dimensional shape that is perfectly round in shape, with all points on its surface equidistant from its center. It does not have any edges or vertices like a rectangle or a ball. Therefore, the correct answer is sphere.

The answer to the question is "Yes, No" because a square and a cube are not the same thing. A square is a two-dimensional shape with four equal sides and four right angles, while a cube is a three-dimensional shape with six equal square faces. Therefore, they have different dimensions and properties, making them distinct from each other.

The given answer is 2d because the question is asking whether the shape is 2-dimensional or 3-dimensional. Since the answer "2d" is selected, it implies that the shape is 2-dimensional, meaning it exists on a flat surface and has only length and width, without any depth.

A point is considered an undefined term in geometry because it cannot be defined using other geometric terms. It is a fundamental concept that represents a specific location in space, but it has no size or shape. Points are used as building blocks for defining other geometric objects like lines, angles, and shapes.

Supplementary angles are actually angles that sum up to 180 degrees, not 90 degrees. When two angles are supplementary, they form a straight line. Therefore, the given statement is incorrect as it mistakenly states that supplementary angles sum up to 90 degrees.

A triangle that has no equal sides and no equal angles is called a scalene triangle. In a scalene triangle, all three sides have different lengths and all three angles have different measures. This is different from an equilateral triangle, which has three equal sides, or an isosceles triangle, which has two equal sides.

Supplementary angles are actually angles that sum up to 180 degrees, not 90 degrees. When two angles are supplementary, it means that they form a straight line and together make a straight angle. A straight angle measures 180 degrees, so the statement that two angles are supplementary if they sum to 90 degrees is incorrect.

A polygon is a closed figure with straight sides. Since the question does not provide any specific figure or description, it is impossible to determine the exact shape being referred to. However, based on the options provided, the answer "Yes" suggests that the figure in question is indeed a polygon.

In geometry, a point is considered an undefined term. It is a fundamental concept that cannot be defined using other terms. A point is a precise location in space, represented by a dot. It has no size, shape, or dimensions. Points are used to define other geometric figures and concepts, such as lines, angles, and shapes. Since a point is not defined in terms of other terms, it is considered an undefined term in geometry.

The correct answer consists of four options, each representing the number of faces, bases, edges, and vertices of a geometric shape. The correct answer is A:6 B:2 C:12 D:8. This means that the shape in question has 6 faces, 2 bases, 12 edges, and 8 vertices.

When a shape is flipped, it undergoes a reflection transformation. Reflection is a transformation that produces a mirror image of the original shape. It involves flipping the shape over a line called the line of reflection. This line acts as a mirror, causing the shape to be reversed and appear as a reflection of itself. Therefore, the correct answer is reflection.

The correct answer is A:5 B:2 C:9 D:6. This means that a) there are 5 faces, b) there are 2 bases, c) there are 9 edges, and d) there are 6 vertices.

The proper names for these two figures are "line AB" and "line GH" because they extend infinitely in both directions. They have no endpoints and can be represented by a straight line passing through points A and B, and points G and H respectively.