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A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry. Also, it has rotational symmetry around the centre for every angle. Know more about circle's vocabulary in this quiz.
Questions and Answers
1.
____- The set of all points in a plane, at a given distance from a given point in the plane.
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.
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2.
____- Circles with the same radius.
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.
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3.
____- Circles that lie in the same plane that share the same center.
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.
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4.
____- A chord that contains the center of the circle.
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.
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5.
____- A segment from a point on a circle, or a sphere, to the center.
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.
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6.
____- Distance around a circle. This is the perimeter of the circle.
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.
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7.
____- An arc of a circle whose endpoints are the endpoints of a diameter.
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".
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8.
____- Two points on a circle, and the continuous part of the circle, between the two points.
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.
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9.
____- A fraction of the circumference of a circle defined by the arc.
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.
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10.
____- An arc of a circle whose length is greater than the length of a semicircle of the circle.
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.
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11.
____- An arc of a circle whose length is less than the length of a semicircle of the circle.
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.
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12.
____- A line that lies in the plane of a circle and that intersects the circle at exactly one point.)
Explanation Point of Tangency
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13.
____- A segment whose end points lie on a circle.
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".
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14.
____- A line that contains a chord.
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.
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15.
____- Angle whose vertex is the center of a circle and whose sides contain radii of a circle.
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.
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16.
____- Angle whose vertex lies on a circle and whose sides contain chords of the circle.
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.
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