Geometry Conjectures Chapter 6

Front 1

chord central angles conjecture

Back 1

in a circle if the two chords are congruent the central angles 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 bisects the chord.

Front 4

Chord distance to a center conjecture

Back 4

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

Front 5

Perpendicular bisector of a chord converse

Back 5

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

Front 6

Tangent Conjecture

Back 6

a radius is perpendicular to a tangent at the point of tangency

Front 7

Tangent segments conjecture

Back 7

tangent segments from a point outside a circle are congruent.

Front 8

Inscribed angle conjecture

Back 8

- the measure of a angle inscribed in a circle is half the measure of its arc.

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

The angles inscribed in a semicircle are right angles.

Front 11

Cyclic quadrilateral conjecture

Back 11

The opposite angles of a cyclic quadrilateral are supplementary

Front 12

Parallel lines intercepted arcs conjecture

Back 12

parallel lines intercept congruent arcs on a circle.

Front 13

Circumference conjecture

Back 13

to find the circumference of a circle, you multiply 2 by pi and then by the radius

Front 14

Arc Length Conjecture

Back 14

the length of an arc equals the arch angle divided by 360 times the circumference