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math
conjectures
| Question | Answer |
|---|---|
| central angle | an angle that has its vertex at the center of the circle |
| inscribed angle | an angle that has its vertex on the circle and its sides are chords |
| chord central angles conjecture | if two chords in a circle are congruent, then they determine two central angles that are congruent |
| chord arcs conjecture | if two chords in a circle are congruent, then their intercepted arcs are congruent |
| perpendicular to a chord conjecture | the perpendicular from the center of a circle to a chord is the bisector of the chord |
| chord distance to center conjecture | two congruent chords in a circle are equidistant from the center of the circle |
| perpendicular bisector of a chord conjecture | the perpendicular bisector of a chord passes through the center of a circle |
| tangent conjecture | a tangent to a circle is perpendicular to the radius drawn to the point of tangency |
| tangent segments conjecture | tangent segments to a circle from a point outside the circle are congruent |
| inscribed angle conjecture | the measure of an angle inscribed in a circle is half the measure of the intercepted arc (central angle) |
| inscribed angles intercepting arcs conjecture | inscribed angles that intercept the same arc are congruent |
| angles inscribed in a semicircle conjecture | angles inscribed in a semicircle are right angles |
| cyclic quadrilateral conjecture | the opposite angles of a cyclic quadrilateral are supplementary |
| parallel lines intercepted arcs conjecture | parallel lines intercept congruent arcs on a circle |
| c=2(pi)r | what formula do you use to find circumference? |
| c=(pi)d | what formula do you use to find the diameter |
| c=2(pi)r | if you know what the radius is, what formula do you use? |
| c=(pi)r | if you know what the diamter is, what formula do you use? |
| s= angle/360(2(pi)r) | what formula do you use to find the length of an arc? |
| arc length conjecture | the length of an arc equals the circumference times the measure of the central angle divided by 360 degrees |
Created by:
lexie.dautel.16
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