Angles & Circles 7th Grade

The term "obtuse" is used to describe an angle that measures greater than 90 degrees but less than 180 degrees.

The term "acute" is used in geometry to describe an angle that measures less than 90 degrees. In this case, the given information states that the angle "measures less than 90'". Therefore, the correct answer is "acute".

Perpendicular lines are lines that intersect at a right angle. They lie in the same plane and create four 90-degree angles at their intersection point. This means that if you were to extend these lines, they would never meet or intersect. Perpendicular lines are commonly seen in geometry and are used to construct right angles and determine the relationships between different shapes and angles.

A line is a straight path that extends infinitely in both directions without any endpoints. It is a one-dimensional figure that can be defined by two points or by a point and a direction. A line has no thickness or width, and it can be thought of as a series of connected points.

Complementary angles are two angles whose sum is 90 degrees. In other words, when two angles are complementary, they add up to a right angle. This means that if one angle measures x degrees, the other angle will measure 90 - x degrees. Complementary angles are often found in geometry and trigonometry problems, where the sum of the angles is important for calculations.

Supplementary angles are two angles that add up to 180 degrees. In other words, when the measures of two angles are added together and the sum is 180 degrees, they are considered supplementary. This term is used to describe the relationship between angles that form a straight line.

Parallel lines are lines that are always the same distance apart and never intersect. They lie in the same plane and have the same slope. Parallel lines can be thought of as train tracks that run alongside each other without ever crossing. In geometry, parallel lines are denoted by a symbol that looks like an equal sign with two vertical lines.

The common endpoint formed on an angle is called the vertex. This is where the two rays or lines that form the angle meet or intersect. The vertex is a crucial point in defining and measuring angles.

A plane is a flat surface that extends infinitely in all directions. It has no thickness and is defined by three non-collinear points or a line and a point not on the line. A plane can be visualized as a sheet of paper that goes on forever in all directions. It has length and width but no height.

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A diameter is a chord that passes through the center of a circle. It is the longest chord in a circle and divides the circle into two equal halves. The term "diameter" is derived from the Greek word "diametros" which means "measuring across". In geometry, the diameter is often used to calculate the circumference and area of a circle. It is an important concept in circle geometry and is used in various mathematical calculations and formulas.

A point indicates a specific position in space. It has no size or shape and is represented by a dot. Unlike other options like vertex, angle, ray, and line, which are all related to different geometric figures or objects, a point is a fundamental concept in geometry that represents a single location in space.

An angle is formed when 2 rays have a common endpoint. It is the space between the two rays that extend from the common endpoint.

A radius is a line segment that extends from the center of a circle to any point on the circle. It is a fixed distance from the center to any point on the circumference, and it divides the circle into two equal halves. The other options, such as chord, diameter, arc, and central, do not specifically refer to a line segment from the center to any point on the circle.

A ray is part of a line with one endpoint formed on an angle. Unlike a line which extends infinitely in both directions, a ray has only one endpoint and extends infinitely in one direction. Therefore, a ray is the correct answer in this context.

A line segment is a fundamental geometric concept defined as a part of a line that is bounded by two endpoints. It represents the shortest distance between these two points and includes all the points that lie between them. Unlike a line, which extends infinitely in both directions, a line segment has a finite length. Line segments are essential building blocks in geometry, used to construct various shapes and figures.

The given answer "right" is the correct answer because it matches the information provided in the question. The question states "measures 90'" which implies that something is being measured and it measures 90 units. Since "right" is the only option provided, it can be inferred that the measurement is in the right direction and hence the answer is "right".

The term "arc" refers to a part of the actual circle. It is a curved line that connects two points on the circumference of the circle. Unlike a chord, which is a straight line segment connecting two points on the circumference, or a diameter, which is a chord that passes through the center of the circle, an arc is a curved section. The radius is the distance from the center of the circle to any point on the circumference, while the central angle is the angle formed by two radii extending from the center to the endpoints of the arc.

A chord is a line segment that connects two points on a circle. It is a straight line that starts and ends on the circle's circumference. The endpoints of the chord are on the circle itself. Therefore, a line segment whose endpoints are on the circle is called a chord.