Quiz Chapter 12

Question 1

Tangent Line?

Answer 1

Intersects a circle in one point called point of tangency

Question 2

Secant line?

Answer 2

Lines that intersect a circle in two points

Question 3

Chord?

Answer 3

Segment with endpooint on the circle

Question 4

Diameter?

Answer 4

Chord through the center of the circle.

Question 5

Theorem 12.1?

Answer 5

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

Question 6

Theorem 12.2?

Answer 6

If a line in the plane of a circle is perpendicular to a radius at its endpoint on the circle, then the line is tangent to the circle

Question 7

Theorem 12.3?

Answer 7

The two segmets tangent to a circle from a point outside the circle are congruent

Question 8

Common tangent?

Answer 8

A line that is tangent to two coplanar circle

Question 9

External tangent?

Answer 9

Common tangents that do ot intersect the segment joining the centers of the two circles

Question 10

Internal tangent?

Answer 10

Common tangents that intersect the segment joining the centers of the two circles

Question 11

Tangent circles?

Answer 11

coplanar circles that intersect in one point

Question 12

Externally tangent circles?

Answer 12

No common interior points

Question 13

Internally tangent circles?

Answer 13

With smaller circle contained in larger circle

Question 14

lCentral ange of a circle?

Answer 14

An angle whose vertex is the center of the circle

Question 15

Arc of a circle?

Answer 15

Two endpoints and a continuous part of a circle between them

Question 16

Minor arc?

Answer 16

An arc whose measure is less than 180

Question 17

Major arc?

Answer 17

An arc whose measure is greater than 1880

Question 18

Semi-circle?

Answer 18

An arc whose endpoints are the diameter of the circle

Question 19

Congruent arcs?

Answer 19

Arcs with equal angle measures that lie in the same circle of congruent circles

Question 20

Theorem 12.4?

Answer 20

Within a circle of in congruent circles:
Congrent central angles have congruent chords
Congruent chords have congruent arcs
Congruent arcs have congruent entral angles

Question 21

Inscribed angle?

Answer 21

An angle with vertex on a circle and the sides contain chords of the circle

Question 22

Intercepted arc?

Answer 22

The arc between the sides of a n inscrbied angle

Question 23

Tangent-chord angle?

Answer 23

An angle with its vertex and the other side containing a chord

Question 24

Theorem 12.5?

Answer 24

Within a circle of in congruent circles chord equidistant from the center are congruent. Congruent chords are equidistant from the center

Question 25

Theorem 12.6?

Answer 25

In a circle, diameter that is perpendicular to a chord bisect the chord and its arcs

Question 26

Theorem 12.7?

Answer 26

In a circle, a diameter that bisects a chord (that is not a diameter) is perpendicular to the chord

Question 27

Theorem 12.8?

Answer 27

In a circle, the perpendicular bisector of a chord contains that center of the circle

Question 28

Inscribed angle theorem?

Answer 28

The measure of an inscribed angle is half the measure of its intercepted arc

Question 29

Corollary to Theorem 154?

Answer 29

Two inscribed angle that intercept the same arc are congruent

Question 30

Corollary to Theorem 154?

Answer 30

An angle inscribed in a semicircle is a right angle. If an inscribed angle is a right angle its intercepted arc is a semicircle.

Question 31

Corollary to Theorem 154?

Answer 31

If a quadrilateral is inscribed in a circle, then its opposite angles are supplementary

Question 32

Theorem 158?

Answer 32

The measure of a tangent-chord angle is half the measure of its intercepted arc.