Know Your Circle Vocabulary

Explanation
A circle is defined as the set of all points in a plane that are at a given distance (radius) from a given point (center) in the plane. The answer "Circle" or "circle" accurately describes this definition.

Explanation
The term "congruent circles" refers to circles that have the same radius. In geometry, congruence means that two figures are identical in shape and size. Therefore, if two circles have the same radius, they are considered congruent circles. The repeated use of the term "congruent circles" in the answer options emphasizes that circles with the same radius are indeed congruent.

Explanation
Concentric circles are circles that share the same center and lie in the same plane. The term "concentric" refers to the fact that the circles have a common center point. In this case, all three options are correct because they all correctly identify the circles as concentric.

Explanation
A diameter is a chord that passes through the center of the circle. It is the longest chord in a circle and divides the circle into two equal halves. Therefore, it is the correct answer to the question.

Explanation
The given answer is "Radius, radius". This answer correctly identifies the term that is being described in the question, which is a segment from a point on a circle or sphere to the center. The term for this segment is "radius", and it is written in both lowercase and uppercase letters in the answer.

Explanation
The term "circumference" refers to the distance around a circle, which is essentially the perimeter of the circle. It is commonly used to measure the length of the outside edge of a circular object or shape. The word "circumference" can be written in lowercase or uppercase, as both variations are correct.

Explanation
A semicircle is defined as an arc of a circle that has its endpoints at the endpoints of a diameter. It is a half of a circle, with a curved shape that resembles a half-moon. The term "semicircle" can be written in different ways, such as "semicircle", "Semi Circle", "Semi circle", or "Semi-circle".

Explanation
The given answer is referring to the term "Arc of a circle" which is the correct answer for the question. It is describing the continuous part of a circle that lies between two points on the circle. The repetition of the phrase "arc of a circle" in different formats emphasizes the correct answer.

Explanation
Arc length refers to a fraction of the circumference of a circle defined by the arc. It is the distance along the curve of the arc, measured in linear units. This measurement is used in various mathematical and geometric calculations involving circles and curved shapes. The term "arc length" can be written in different ways, such as "Arc Length," "Arc length," or "arc length," but they all refer to the same concept.

Explanation
A major arc is an arc of a circle whose length is greater than the length of a semicircle of the circle. It is called a major arc because it covers more than half of the circumference of the circle. The term "major" emphasizes the larger size of this arc compared to a semicircle or a minor arc.

Explanation
A minor arc is an arc of a circle that has a length less than the length of a semicircle. It is called "minor" because it is smaller in size compared to a semicircle. The term "minor arc" can be written in different ways, such as "Minor Arc," "Minor arc," or "minor arc," but they all refer to the same concept.

Explanation
Point of Tangency

Explanation
A chord of a circle is a line segment that connects two points on the circle. It is named as "chord" and not "arc" because it is a straight line segment rather than a curved arc. The end points of the chord lie on the circle, making it a segment whose end points lie on a circle. Therefore, the correct answer is "Chord of a Circle".

Explanation
A secant of a circle is a line that intersects the circle at two different points. It is called a secant because it cuts through the circle. In this case, the line described in the question is a secant because it intersects the circle at two points, making it a line that contains a chord.

Explanation
A central angle is an angle whose vertex is the center of a circle and whose sides contain radii of the circle. It is called a central angle because it is formed by the central point of the circle. The measure of a central angle is equal to the measure of the intercepted arc it creates.

Explanation
An inscribed angle is an angle whose vertex lies on a circle and whose sides contain chords of the circle. It is formed by two intersecting chords in a circle, with the vertex of the angle being the point where the chords intersect. The measure of the inscribed angle is half the measure of the intercepted arc. Therefore, the given answer options "Inscribed Angle, Inscribed angle, inscribed angle" accurately describe the angle in question.