Theorems on Circle

In a circle or congruent circles , congruent central angles have congruent___

• center

• arcs

• chord

• segment

in a circle or congruent circles, congruent ___ have congruent arcs.

• segment

• chords

• arcs

• center

The measure of an arc formed by two___ arcs is the sum of the measure of the two arcs.

• semi-circle

• congruent

• adjacent

• opposite

In a circle or congruent circle, congruent arcs have congruent ____

• chords

• angles

• centers

• segments

In a circle, if the ______ is perpendicular to a chord, then it bisects the chord and its arc.

• line

• segment

• radius

• chord

In ʘA, TP is a diameter. What is the measure of TÔ if m∠OAP = 65^o?

• 65°

• 115^o

• 130^o

• 230^o

Find the degree measure of the arc of the sector whose area is 8π of a circle and whose radius is 6cm.

• 80^o

• 90^o

• 180^o

• 360^o

Given ⨀O with diameter CD̅̅̅̅. AB̅̅̅̅ ∥ CD̅̅̅̅ and m AB̂ = 80°. Find CA

• 50^o

• 55^o

• 60^o

• 65^o

Which of the following statements is NOT true about an inscribed angle?

• An angle inscribed in a semicircle is an obtuse angle.

• The measure of an inscribed angle is equal to one-half the measure of its intercepted arc.

• If two inscribed angles intercept at the same arc or congruent arcs, then the angles are congruent.

• An inscribed angle is an angle whose vertex lies on the circle and whose sides contain chords of the circle.

Find the value of x

• 10

• 23

• 83

• 181