Cricle Theorems Flashcards
What is the theorem that states the angle at the center of a circle is twice the angle at the circumference subtended by the same arc?
The Angle at the Center Theorem.
True or False: A tangent to a circle is perpendicular to the radius drawn to the point of contact.
True.
Fill in the blank: The angles in the same segment of a circle are _____ to each other.
equal.
What do you call a line segment that joins two points on a circle?
A chord.
If two chords intersect inside a circle, what is the relationship between the angles formed?
The angle is equal to half the sum of the arcs intercepted by the angle.
Multiple Choice: Which theorem states that the opposite angles of a cyclic quadrilateral sum to 180 degrees? A) Angle at the Center Theorem B) Cyclic Quadrilateral Theorem C) Angle in a Segment Theorem
B) Cyclic Quadrilateral Theorem.
What is the relationship between the angles formed by two tangents drawn from a point outside the circle?
The angle between the tangents is equal to the angle subtended by the line segment connecting the points of contact at the center.
True or False: All radii of a circle are equal in length.
True.
What is the term for an angle formed by two radii of a circle?
A central angle.
Fill in the blank: The angle formed by a tangent and a chord through the point of contact is equal to the angle in the _____ subtended by the chord.
alternate segment.
