Geometry Chapter 6 Conjectures
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- 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 perpendicular bisector of the chord.
- Chord Distance to Center Conjecture
- Two congruent chords in a circle are equally distant from the center of the circle.
- Perpendicular Bisector of a Chord Conjecture
- The perpendicular bisector of a chord passes through the center of the 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 inscribed angle in a circle is half the measure of the arc it intercepts.
- 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 quadrilateral inscribed in a circle are supplementary.
- Parallel Lines Intercepted Arcs Conjecture
- Parallel lines intercept congruent arcs on a circle.
- Arc Length Conjecture
- The length of an arc equals the degree measure of the arc divided by 360 degrees, times the circumference of the circle.
- NOTE
- I did not include the conjecture about the circumference!!! That is just common knowledge.