5 Written Questions

1. The measure of an angle inscribed in a circle is one-half the measure of the central angle.
2. The length of an arc equals the circumference times the measure of the central angle divided by 360 degrees.
3. Tangent segments to a circle from a point outside the circle are congruent.
4. If two chords in a circle are congruent, then their intercepted arcs are congruent.
5. If two chords in a circle are congruent, then they determine two central angles that are congruent.

5 Multiple Choice Questions

1. Parallel lines intercept congruent arcs on a circle.
   1. Cyclic Quadrilateral Conjecture
   2. Parallel Lines Intercepted Arcs Conjecture
   3. Inscribed Angles Intercepting Arcs Conjecture
   4. Tangent Segments Conjecture
2. Two congruent chords in a circle are equidistant from the center of the circle.
   1. Circumference Conjecture
   2. Chord Central Angles Conjecture
   3. Chord Arcs Conjecture
   4. Chord Distance to Center Conjecture
3. The opposite angles of a cyclic quadrilateral are supplementary.
   1. Arc Length Conjecture
   2. Circumference Conjecture
   3. Cyclic Quadrilateral Conjecture
   4. Inscribed Angle Conjecture
4. A tangent to a circle is perpendicular to the radius drawn to the point of tangency.
   1. Chord Arcs Conjecture
   2. Arc Length Conjecture
   3. Tangent Segments Conjecture
   4. Tangent Conjecture
5. Inscribed angles that intercept the same arc are congruent.
   1. Inscribed Angle Conjecture
   2. Chord Central Angles Conjecture
   3. Inscribed Angles Intercepting Arcs Conjecture
   4. Parallel Lines Intercepted Arcs Conjecture

4 True/False Question

1. Circumference Conjecture → If C is the circumference and d is the diameter of a circle, then there is anumber such that C=πd. If d=2r where r is the radius, then C=2πr.
   

   True        False

2. Perpendicular Bisector of a Chord Conjecture → The perpendicular from the center of a circle to a chord is the bisector of the chord.
   

   True        False

3. Perpendicular to a Chord Conjecture → The perpendicular from the center of a circle to a chord is the bisector of the chord.
   

   True        False

4. Angles Inscribed in a Semicircle Conjecture → Angles inscribed in a semicircle are right angles.
   

   True        False