# Geometry Circle Conjectures

## 16 terms

### A tangent to a circle is ______ to the radius drawn to the point of tangency

perpendicular, Tangent Conjecture

### Tangent segments from a point outside the circle are _______________

congruent, Tangent segments conjecture (ice cream cone)

### If two chords in a circle are congruent, then they determine central angles that are ______

congruent, Chord Central Angle Conjecture:

### The perpendicular from the center of a circle to a chord is the ______________ of the chord

perpendicular bisector. Perpendicular to a chord conjecture

### If two chords in a circle are congruent, them their ____________ are congruent

intercepted arcs, Chord Arcs Conjecture

### Two congruent chords in a circle are ________ from the center

equidistant, Chord distance to center conjecture

### The perpendicular besector of a chord passes through the _______ of the circle

center, Perpendicular Bisector of a Chord Conjecture

### The measure of an inscribed angle in a circle is equal to _______ the measure of its intercepted arc

half, Inscribed Angle Conjecture

### Inscribed angles that intercept the same arc are______

congruent, Inscribed Angles Intercepting Arcs Conjecture (butterfy)

### Angle inscribed in a semicircle are _______ angles

90 degree or right, Angles Inscribed in a Semicircle Conjecture

### The opposite angles of a cyclic quadrilateral are ___________

supplementary, Cyclic Quadrilateral Conjecture

### Parallel line intercept __________ arcs on a circle

congruent, Paralell lines, Intercepted Arcs Conjecture

### Conjecture for circumference of a circle

π * Diameter (3.14*D) ( D=2R)

### Length of Arc Conjecture

Degree of Arc/360 * (2rπ) = Length of Arc

### The area of a regular polygon is given by the formula ________ or _________, where A is the area, P is the perimeter , a is the apothem, s is the length of each side, and n is the number of sides

A=1/2asn, A=1/2aP

πr²