Lines and Segments That intersect Circles
A line that intersects a circle at exactly two points.
What is a secant?
How many tangent lines can be drawn to a circle from a point on the circle?
What is one?
The measure of a minor arc is equal to what?
What is the measure of its central angle?
The longest chord in a circle is called this.
What is the diameter?
An inscribed angle measures what fraction of its intercepted arc?
What is ½?
A segment with endpoints on the circle.
What is a chord?
How many tangent lines can be drawn from a point outside the circle?
What is two?
If a central angle measures 120°, what is the measure of its intercepted arc?
What is 120°?
If two chords are congruent, what can be said about their arcs?
What is their arcs are congruent?
If an intercepted arc measures 80°, what is the inscribed angle?
What is 40°?
A line that intersects a circle at exactly one point.
What is a tangent?
If two tangent segments are drawn from the same external point, how do their lengths compare?
What is they are congruent (equal)?
What is the measure of a semicircle?
What is 180°?
If a diameter is perpendicular to a chord, what happens to the chord?
What is it bisects the chord?
An angle inscribed in a semicircle measures what?
What is 90°?
If a radius is drawn to the point of tangency, what is the angle between the radius and the tangent line?
What is 90° (a right angle)?
If a tangent segment is 8 cm long from an external point, how long is the other tangent segment from the same point?
What is 8 cm?
The sum of all arc measures in a circle equals what?
What is 360°?
Two chords intersect inside a circle. One chord has segments 5 and 7. The other chord has segments 3 and x. Find x.
What is x=11.67 or 35/3
Opposite angles of a quadrilateral inscribed in a circle have what relationship?
What is they are supplementary?
If two secants intersect outside a circle, the angle formed equals what fraction of the difference of the arcs?
What is ½ (one-half)?
From point P outside circle ⊙O, two tangent segments PA and PB are drawn to the circle.
PA=3x+4
PB=5x−6
Find the value of x and the length of each tangent segment.
What is x = 5 and each tangent segment equals 19?
An angle formed by two secants outside a circle equals what in terms of arcs?
What is ½ (difference of intercepted arcs)?
In circle ⊙O, chord AB is 16 cm long.
The radius drawn from center O is perpendicular to chord AB at point M.
Find the length of AM.
What is 8 cm?
If an inscribed angle measures 35°, what is the measure of its intercepted arc?
35 × 2 = 70
What is 70°?