Podcast
Questions and Answers
What is the angle between a tangent to a circle and a chord drawn from the point of contact?
What is the angle between a tangent to a circle and a chord drawn from the point of contact?
- Twice the angle subtended by the chord in the alternate segment
- Equal to the angle subtended by the chord in the alternate segment (correct)
- Half of the angle subtended by the chord in the alternate segment
- Complementary to the angle subtended by the chord in the alternate segment
What is the characteristic of two tangents drawn from the same point outside a circle?
What is the characteristic of two tangents drawn from the same point outside a circle?
- They are unequal in length
- They are perpendicular to each other
- They intersect at the center of the circle
- They are equal in length (correct)
What is the line segment joining the center of a circle and the midpoint of a chord?
What is the line segment joining the center of a circle and the midpoint of a chord?
- Diameter of the circle
- Tangent to the circle
- Perpendicular to the chord (correct)
- Parallel to the chord
What is the characteristic of a line segment from the center of a circle perpendicular to a chord?
What is the characteristic of a line segment from the center of a circle perpendicular to a chord?
What is the relationship between the angle at the center of a circle and the angle on the circle subtended by the same chord or arc?
What is the relationship between the angle at the center of a circle and the angle on the circle subtended by the same chord or arc?
What is the relationship between angles on a circle that are subtended on the same side by the same arc?
What is the relationship between angles on a circle that are subtended on the same side by the same arc?
What can be said about chords that subtend equal angles at the center of a circle?
What can be said about chords that subtend equal angles at the center of a circle?
What is the characteristic of a diameter of a circle?
What is the characteristic of a diameter of a circle?
What is the term for a part of the circle that is cut off by a chord?
What is the term for a part of the circle that is cut off by a chord?
What is the special chord that passes through the center of the circle, connecting two points on the circumference?
What is the special chord that passes through the center of the circle, connecting two points on the circumference?
What is the name of the theorem that states that the angle at the center of a circle is twice the angle at the circumference?
What is the name of the theorem that states that the angle at the center of a circle is twice the angle at the circumference?
If a line is drawn from the center of a circle perpendicular to a chord, what does it do to the chord?
If a line is drawn from the center of a circle perpendicular to a chord, what does it do to the chord?
What is the term for a straight line that touches the circle at only one point on the circumference?
What is the term for a straight line that touches the circle at only one point on the circumference?
What can be said about the opposite angles of a cyclic quadrilateral?
What can be said about the opposite angles of a cyclic quadrilateral?
What is the relationship between the radius and the tangent at the point of contact?
What is the relationship between the radius and the tangent at the point of contact?
What is the name of the theorem that states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides?
What is the name of the theorem that states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides?
What is the angle between a tangent to a circle and a chord drawn from the point of contact equal to?
What is the angle between a tangent to a circle and a chord drawn from the point of contact equal to?
If two chords are equal, what can be said about the angles subtended by them at the center of the circle?
If two chords are equal, what can be said about the angles subtended by them at the center of the circle?
What is the characteristic of a line segment from the center of a circle that bisects a chord?
What is the characteristic of a line segment from the center of a circle that bisects a chord?
What is the relationship between the angles subtended by two arcs on the same side of the circle?
What is the relationship between the angles subtended by two arcs on the same side of the circle?
What can be said about the opposite angles of a cyclic quadrilateral?
What can be said about the opposite angles of a cyclic quadrilateral?
What is the term for the part of the circle that is cut off by a chord?
What is the term for the part of the circle that is cut off by a chord?
What can be said about the length of two tangents drawn from the same point outside a circle?
What can be said about the length of two tangents drawn from the same point outside a circle?
What is the special chord that passes through the center of the circle, connecting two points on the circumference?
What is the special chord that passes through the center of the circle, connecting two points on the circumference?
What is the definition of a circumference?
What is the definition of a circumference?
What is the condition for a quadrilateral to be cyclic?
What is the condition for a quadrilateral to be cyclic?
What can be said about the angle subtended by a chord at the center of a circle?
What can be said about the angle subtended by a chord at the center of a circle?
What is the characteristic of a chord that passes through the center of a circle?
What is the characteristic of a chord that passes through the center of a circle?
What is the relationship between the exterior angle of a cyclic quadrilateral and the interior opposite angle?
What is the relationship between the exterior angle of a cyclic quadrilateral and the interior opposite angle?
What is the definition of a segment of a circle?
What is the definition of a segment of a circle?
What is the condition for a line to be a tangent to a circle?
What is the condition for a line to be a tangent to a circle?
What is the relationship between the angles subtended by a chord on the same side of the chord?
What is the relationship between the angles subtended by a chord on the same side of the chord?
What is the angle formed by a tangent to a circle and the radius drawn to the point of contact?
What is the angle formed by a tangent to a circle and the radius drawn to the point of contact?
What is the relationship between the lengths of two chords subtending equal angles at the center of a circle?
What is the relationship between the lengths of two chords subtending equal angles at the center of a circle?
What is the sum of the interior opposite angles of a cyclic quadrilateral?
What is the sum of the interior opposite angles of a cyclic quadrilateral?
What is the relationship between the radius and a chord that passes through its midpoint?
What is the relationship between the radius and a chord that passes through its midpoint?
What is the ratio of the angle at the center of a circle to the angle at the circumference subtended by the same arc?
What is the ratio of the angle at the center of a circle to the angle at the circumference subtended by the same arc?
What is the characteristic of the perpendicular bisector of a chord?
What is the characteristic of the perpendicular bisector of a chord?
What is the relationship between the exterior angle of a cyclic quadrilateral and the interior angle adjacent to it?
What is the relationship between the exterior angle of a cyclic quadrilateral and the interior angle adjacent to it?
What is the condition for a quadrilateral to be inscribed in a circle?
What is the condition for a quadrilateral to be inscribed in a circle?
What is the angle subtended by a chord at the center of a circle, if the angle subtended by the chord in the alternate segment is 30°?
What is the angle subtended by a chord at the center of a circle, if the angle subtended by the chord in the alternate segment is 30°?
What is the relationship between the length of two chords subtending equal angles at the center of a circle?
What is the relationship between the length of two chords subtending equal angles at the center of a circle?
What is the characteristic of a line segment that joins the center of a circle and the midpoint of a chord?
What is the characteristic of a line segment that joins the center of a circle and the midpoint of a chord?
What is the condition for two points to be cyclic?
What is the condition for two points to be cyclic?
What is the relationship between the angles subtended by two arcs on the same side of the circle?
What is the relationship between the angles subtended by two arcs on the same side of the circle?
What is the characteristic of a line segment from the center of a circle that bisects a chord?
What is the characteristic of a line segment from the center of a circle that bisects a chord?
What is the relationship between the length of two tangents drawn from the same point outside a circle?
What is the relationship between the length of two tangents drawn from the same point outside a circle?
What is the characteristic of the angle subtended by a diameter at the center of a circle?
What is the characteristic of the angle subtended by a diameter at the center of a circle?
If two arcs of the same circle subtend equal angles at the center, what can be said about the chords that correspond to these arcs?
If two arcs of the same circle subtend equal angles at the center, what can be said about the chords that correspond to these arcs?
What is the maximum number of tangent lines that can be drawn to a circle from a point outside the circle?
What is the maximum number of tangent lines that can be drawn to a circle from a point outside the circle?
If a chord is drawn in a circle and the angle subtended by the chord at the center is 60°, what is the measure of the angle subtended by the chord in the alternate segment?
If a chord is drawn in a circle and the angle subtended by the chord at the center is 60°, what is the measure of the angle subtended by the chord in the alternate segment?
What is the relationship between the angles subtended by two arcs on the same side of a circle?
What is the relationship between the angles subtended by two arcs on the same side of a circle?
If a line segment is drawn from the center of a circle to a point on the circumference, what is the relationship between this line segment and the tangent drawn to the circle at that point?
If a line segment is drawn from the center of a circle to a point on the circumference, what is the relationship between this line segment and the tangent drawn to the circle at that point?
What is the condition for a quadrilateral to be inscribed in a circle?
What is the condition for a quadrilateral to be inscribed in a circle?
If two chords of a circle are equal in length, what can be said about the angles subtended by these chords at the center of the circle?
If two chords of a circle are equal in length, what can be said about the angles subtended by these chords at the center of the circle?
What is the relationship between the radius of a circle and the tangent drawn to the circle at a point on the circumference?
What is the relationship between the radius of a circle and the tangent drawn to the circle at a point on the circumference?
If two chords intersect inside a circle, what is the relationship between the angles they subtend at the center of the circle?
If two chords intersect inside a circle, what is the relationship between the angles they subtend at the center of the circle?
If a line segment from the center of a circle bisects a chord, what can be said about the angle it forms with the chord?
If a line segment from the center of a circle bisects a chord, what can be said about the angle it forms with the chord?
If two chords are equal, what can be said about the angles they subtend at points on the circle?
If two chords are equal, what can be said about the angles they subtend at points on the circle?
If a line segment joins the center of a circle and the midpoint of a chord, what can be said about the angle it forms with the chord?
If a line segment joins the center of a circle and the midpoint of a chord, what can be said about the angle it forms with the chord?
If two tangents are drawn from the same point outside a circle, what can be said about the angles they form with the radius drawn to the point of contact?
If two tangents are drawn from the same point outside a circle, what can be said about the angles they form with the radius drawn to the point of contact?
If a chord subtends an angle of 60° at the center of a circle, what can be said about the angle it subtends in the alternate segment?
If a chord subtends an angle of 60° at the center of a circle, what can be said about the angle it subtends in the alternate segment?
If two chords subtend equal angles at the center of a circle, what can be said about the lengths of the chords?
If two chords subtend equal angles at the center of a circle, what can be said about the lengths of the chords?
If a line segment is perpendicular to a chord, what can be said about the angle it forms with the tangent drawn to the point of contact?
If a line segment is perpendicular to a chord, what can be said about the angle it forms with the tangent drawn to the point of contact?
