Chapter 10 Vocab; Geometry

Front 1

common tangent

Back 1

a line or segment that is tangent to 2 circle

Front 2

common externals

Back 2

segment that does not intersect the segment that joins the center

Front 3

theorem 10.1

Back 3

If a line is tangent to a circle , then it is perpendicular to the radius drawn from the point of tangency

Front 4

theorem 10.2

Back 4

If a line is perpendicular to a radius of a circle at its endpoints on the circle, then the live is tangent to the circle

Front 5

central arc

Back 5

angle whose vertex is the center of a circle

Front 6

minor arc

Back 6

when the measure of the center angle is less then 180

Front 7

major arc

Back 7

point A and B on the exterior of <APB; ACB arc

Front 8

semicircle

Back 8

Arc whose endpoints are the endpoints of the diameter

Front 9

measure of minor arc

Back 9

measure of the central circle

Front 10

measure of major arc

Back 10

360 - minor arc

Front 11

arc addition postulate

Back 11

the measure of an arc formed 2 adjacent is the sum of the measures of the 2 arcs

Front 12

congruent arcs

Back 12

arcs of the same circle with the same measure

Front 13

Inscribed arc

Back 13

an angle whose vertex is on the circle and whose sides contain chords of the circle

Front 14

Intercepted arcs

Back 14

arc that lies in the interior of an inscribed angle and has endpoints in an angle

Front 15

theorem 10.8

Back 15

measure of an inscribed < , if and < is inscribed in a circle then it's measure is 1/2 the measure of its intercepture

Front 16

theorem 10.9

Back 16

If 2 inscribed < of a circle intercept the same arc, then the angles are congruent

Front 17

theorem 10.10

Back 17

if a right angle is inscribed in a circle then the hypotenuse is a diameter of the circle

Front 18

theorem 10.10 converse

Back 18

If one side of an inscribed triangle is a diameter of the circle, then the triangle is a right triangle and the < opposite the diameter is the right triangle

Front 19

theorem 10.11

Back 19

A quadrilateral can be inscribed in a circle if and only if its opposite <s are suppelmentary

Front 20

theorem 10.12

Back 20

if a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is 1/2 the measure of its intercepted arc