geometry 10

Question 1

Similar Circles Theorem

Answer 1

All circles are similar

Question 2

Tangent Line to Circle Theorem

Answer 2

In a plane, a line is tangent to a circle if and only if the line is
Perpendicular to a radius of the circle at its endpoint on the circle.

Question 3

External Tangent Congruence Theorem

Answer 3

Tangent segments from a common external point
are congruent

Question 4

Arc Addition Postulate

Answer 4

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

Question 5

Theorem: Congruent Circles Theorem

Answer 5

Two circles are congruent circles if and only if they have the
same radius.

Question 6

Congruent Central Angles Theorem

Answer 6

In the same circle, or in congruent circles, two minor arcs are
Congruent if and only if their corresponding central angles are
Congruent.

Question 7

Theorem: Congruent Corresponding Chords Theorem

Answer 7

In the same circle, or in congruent circles, two minor arcs are
congruent if and only if their corresponding chords are congruent.

Question 8

Theorem:Perpendicular Chord Bisector Theorem

Answer 8

If a diameter of a circle is perpendicular to a chord, then the
diameter bisects the chord and its arc.

Question 9

Perpendicular Chord Bisector Converse Theorem

Answer 9

IF one chord of a circle is a perpendicular bisector of another chord,
then the first chord is a diameter.

Question 10

Equidistant Chords Theorem

Answer 10

In the same circle, or in congruent circles, two chords are congruent
if and only if they are equidistant from the center.

Question 11

Circle -

Answer 11

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

Question 12

Radius -

Answer 12

a segment whose endpoints are the center and any point on a circle

Question 13

● Chord

Answer 13

• is a segment whose endpoints are on a circle

Question 14

● Diameter

Answer 14

• is a chord that contains the center of the circle
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Question 15

Secant -

Answer 15

is a line that intersects a circle in two points.

Question 16

● Tangent -

Answer 16

is a line in the plane of a circle that intersects the circle in exactly
one point, the point of tangency

Question 17

Tangent circles -

Answer 17

coplanar circles that intersects in one point
●

Question 18

Concentric circles -

Answer 18

coplanar circles that have a common center
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Question 19

● Common tangent -

Answer 19

a line or segment that is tangent to two coplanar circles