Circles

Question 0

Centre

Answer 0

Given point

Question 1

Circle

Answer 1

Set of points in a plane at a given distance from a given point in that plane

Question 2

Radius

Answer 2

Given distance

Question 3

Chord

Answer 3

Segment whose end points lie on a circle

Question 4

Secant

Answer 4

Line which contains a chord

Question 5

Diameter

Answer 5

Chord that contains the centre of a circle

Question 6

Tangent

Answer 6

Line in plane of the circle that intersects circle in exactly one point

Question 7

Point of tangency

Answer 7

Point where tangent intersects circle

Question 8

Congruent circles

Answer 8

Circles with congruent radii

Question 9

Concentric circles

Answer 9

Circles that lie in same plane and have same centre

Question 10

When is a polygon inscribed or a circle circumscribed? (Or vice versa)

Answer 10

When each vertex of the polygon lies on the circle

Question 11

If a line is tangent to a circle…

Answer 11

Then the line is perpendicular to the radius drawn to the point of tangency

Question 12

Tangents to a circle from a point are…

Answer 12

Congruent

Question 13

If a line in the plane of a circle is perpendicular to a radius at its outer endpoint…

Answer 13

Then the line is tangent to the circle

Question 14

Common tangent

Answer 14

Line that is tangent to each of the two coplanar circles

Question 15

Common internal tangent

Answer 15

Intersects the segment joining the centres

Question 16

Common external tangent

Answer 16

Does not intersect segment joining the centres

Question 17

Tangent circles

Answer 17

Coplanar circles that are tangent to the same line at the same point

Question 18

Central angle

Answer 18

Angle with its vertex at centre of the circle

Question 19

Arc

Answer 19

Unbroken part of circle

Question 20

Measure of minor arc

Answer 20

Measure of central angle

Question 21

Measure of major arc

Answer 21

360 - measure of central angle

Question 22

Measure of semicircle

Answer 22

180

Question 23

Adjacent arcs

Answer 23

Arcs that have exactly one point in common

Question 24

Arc addition postulate

Answer 24

Measure of the arc formed by two adjacent arcs is the sum of the measures of these row arcs

Question 25

In the same circle or in congruent circles two minor arcs are congruent if...

Answer 25

Their central angles are congruent

Question 26

Congruent arcs

Answer 26

Arcs in the same or congruent circles that have equal measures

Question 27

In the same or congruent circles (2 points)

Answer 27

Congruent arcs have congruent chords | Congruent chords have congruent arcs

Question 28

A diameter that is perpendicular to a chord...

Answer 28

Bisects the chord and its arc

Question 29

Inscribed angle

Answer 29

Angle whose vertex is on a circle and whose sides contain chords of the circle

Question 30

Measure of an inscribed angle is equal to...

Answer 30

Half the measure of its intercepted arc

Question 31

If two inscribed angle intercept the same arc...

Answer 31

Then the angles are congruent

Question 32

An angle inscribed in a semicircle is...

Answer 32

A right angle

Question 33

If a quadrilateral is inscribed in a circle...

Answer 33

Then its opposite angles are supplementary

Question 34

Measure of an angle formed by a chord and a tangent is equal to...

Answer 34

Half the measure of the intercepted arcs

Question 35

The measure of an angle formed by two chords that intersect inside a circle is

Answer 35

Equal to half the sum of the measures of the intercepted arcs

Question 36

The measure of an angle formed by two secants, two tangents or a secant and a tangent drawn from a point outside a circle is

Answer 36

Equal to half of the difference of the measures of the intercepted arcs

Question 37

When two chords intersect inside a circle the product of the segments of one chord equals

Answer 37

The product of the segments of the other chord

Question 38

When two secant segments are drawn to a circle from an external point,

Answer 38

The product of one secant segment and its external segment equals the product of the other secant segment and its external segment

Question 39

When a secant segment and a tangent segment are drawn to a circle from an external point

Answer 39

The product of the secant segment and its external segment is equal to the square of the tangent segment

Question 40

In same or congruent circles (chords)

Answer 40

Chords equally distant from centre are congruent | Congruent chords are equally distant from centre