Flashcards on Central and inscribed angle
Central and Inscribed Angles: Master Circle Geometry Easily
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Geometry of Circles and Angles
12 cards
Card 1
Question: What defines a circle?
Answer: A set of all points in a plane that are equidistant from a fixed point called the center.
Card 2
Question: What is a radius in the context of a circle?
Answer: A line segment connecting the center of the circle to any point on the circle.
Card 3
Question: What is a chord of a circle?
Answer: A line segment connecting two points on the circle.
Card 4
Question: How is a diameter defined?
Answer: A chord that passes through the center of the circle. It is the longest chord and its length is twice the radius.
Card 5
Question: What is an arc in a circle?
Answer: A continuous portion of the circumference of a circle, defined by two endpoints on the circle.
Card 6
Question: What is a central angle?
Answer: An angle whose vertex is at the center of the circle, and whose arms are two radii of the circle.
Card 7
Question: How is the measure of a central angle related to the arc it subtends?
Answer: The measure of a central angle is equal to the measure of the arc it subtends.
Card 8
Question: What defines an inscribed angle?
Answer: An angle whose vertex lies on the circle, and whose arms are two chords of the circle.
Card 9
Question: What is the relationship between an inscribed angle and a central angle that subtend the same arc?
Answer: The measure of an inscribed angle is half the measure of the central angle that subtends the same arc (β = α / 2).
Card 10
Question: In the proof of the relationship between central and inscribed angles, what kind of triangle is formed when one arm of the inscribed angle passes thro
Answer: An isosceles triangle because two sides are radii.