Chapter 10 - All

Question 1

Interior of a circle

Answer 1

Points inside of a circle.

Question 2

Exterior of a circle

Answer 2

Points outside of a circle.

Question 3

Chord

Answer 3

A segment whose endpoints are on the circle.

Question 4

Diameter

Answer 4

A chord that passes through the cent of a circle.

Question 5

Radius

Answer 5

A segment whose endpoints consist of the center of the circle and a point on the circle.

Question 6

Tangent

Answer 6

If a line intersects a circle at exactly one point, then the line is a tangent of the circle.

Question 7

Secant

Answer 7

If a line intersects a circle at two points, then the line is a secant of the circle.

Question 8

Common tangent

Answer 8

A line that is tangent to two circles.

Question 9

Common external tangent

Answer 9

A common tangent that does not intersect the segment that joins the centers of the circle.

Question 10

Common internal tangent

Answer 10

A common tangent that intersects the segment that joins the centers of the circle.

Question 11

Two circles can intersect in 4 different ways…

Answer 11

No points
One point
Two points
All points

Question 12

Concentric circles

Answer 12

Circles that have the same center.

Question 13

Congruent circles

Answer 13

Circles with congruent radii or diameters.

Question 14

If a line is tangent to a circle

Answer 14

Then it is perpendicular to the radius drawn to the point of tangency.

Question 15

In a plane, if a line is perpendicular to a radius of a circle, at its endpoints on the circle,

Answer 15

Then the line is tangent to a circle.

Question 16

If two segments from the same exterior point are tangent to a circle,

Answer 16

Then they are congruent.

Question 17

Inscribed circle

Answer 17

A circle is inscribed in a polygon if each side of the polygon is tangent to the circle.

Question 18

Circumscribed circle

Answer 18

A circle is circumscribed about a polygon if each vertex of the polygon lies on the circle.

Question 19

Central angle

Answer 19

An angle whose vertex is the center of the circle.

Question 20

Minor arc

Answer 20

Consists of the endpoints of the central angle and all points on the circle that are in the interior of the central angle.

Question 21

Measure of a minor arc

Answer 21

Measure

Question 22

Semicircle

Answer 22

An arc whose endpoints are the endpoints of the diameter.

Question 23

Circle

Answer 23

A set of all points in a plane that are equidistant from a given point called the center.

Question 24

Adjacent Arcs

Answer 24

Two arcs of the same circle are adjacent if they intersect at exactly one point.

Question 25

Arc Addition Postulate

Answer 25

The measure of an arc formed by two adjacent arcs is the sum of the measure of the two arcs.

Question 26

Congruent arcs

Answer 26

In the same circle or congruent circles, two arcs are congruent if they have the same measure.

Question 27

In the same circle or in congruent circles, two arcs are congruent if and only if

Answer 27

Their central angles are congruent.

Question 28

In the same circle or in congruent circles, two arcs are congruent if and only if

Answer 28

Their corresponding chords are congruent.

Question 29

If a diameter of a circle is perpendicular to a chord,

Answer 29

Then the diameter bisects the chord and its arcs.

Question 30

If chord AB is a perpendicular Bisector of another chord,

Answer 30

Then AB is a diameter.

Question 31

In the same circle or in congruent circles, two chords are congruent if and only if

Answer 31

They are equidistant from the center.

Question 32

Inscribed angle

Answer 32

An angle whose sides are chords of a circle.

Question 33

Intercepted arc

Answer 33

The arc that lies in the interior of an inscribed angle.

Question 34

If an angle is inscribed in a circle,

Answer 34

Then it’s measure is half of the measure of its intercepted arc.

Question 35

If two inscribed angles of a circle intercept the same arc,

Answer 35

Then the angles are congruent.

Question 36

An angle that is inscribed in a circle is a right angle if and only if

Answer 36

It’s corresponding arc is a semicircle.

Question 37

A quadrilateral can be inscribed in a circle if and only if

Answer 37

It’s opposite angles are supplementary.

Question 38

If a tangent and a chord intersect at a point on a circle,

Answer 38

Then the measure of each angle formed is half the measure of its intercepted arc.

Question 39

If two chords intersect in the interior of a circle,

Answer 39

Then the measure of each angle is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Question 40

If a tangent and a secant, two tangents, or two secants intersect in the exterior of a circle,

Answer 40

Then the measure of the angle is half the difference of the measures of the intersected arc.

Question 41

The standard form of the equation of a circle

Answer 41

(X-h)^2 • (y-k)^2 = r^2