Geometry Chapter 6 Conjectures

Front 1

Chord Central Angles Conjecture

Back 1

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

Front 2

Chord Arcs Conjecture

Back 2

If two chords in a circle are congruent, then their intercepted arcs are congruent.

Front 3

Perpendicular to a Chord Conjecture

Back 3

The perpendicular from the center of a circle to a chord is the perpendicular bisector of the chord.

Front 4

Chord Distance to Center Conjecture

Back 4

Two congruent chords in a circle are equally distant from the center of the circle.

Front 5

Perpendicular Bisector of a Chord Conjecture

Back 5

The perpendicular bisector of a chord passes through the center of the circle.

Front 6

Tangent Conjecture

Back 6

A tangent to a circle is perpendicular to the radius drawn to the point of tangency.

Front 7

Tangent Segments Conjecture

Back 7

Tangent segments to a circle from a point outside the circle are congruent.

Front 8

Inscribed Angle Conjecture

Back 8

The measure of an inscribed angle in a circle is half the measure of the arc it intercepts.

Front 9

Inscribed Angles Intercepting Arcs Conjecture

Back 9

Inscribed angles that intercept the same arc are congruent.

Front 10

Angles Inscribed in a Semicircle Conjecture

Back 10

Angles inscribed in a semicircle are right angles.

Front 11

Cyclic Quadrilateral Conjecture

Back 11

The opposite angles of a quadrilateral inscribed in a circle are supplementary.

Front 12

Parallel Lines Intercepted Arcs Conjecture

Back 12

Parallel lines intercept congruent arcs on a circle.

Front 13

Arc Length Conjecture

Back 13

The length of an arc equals the degree measure of the arc divided by 360 degrees, times the circumference of the circle.

Front 14

NOTE

Back 14

I did not include the conjecture about the circumference!!! That is just common knowledge.