Circles

Question 1

If a line is tangent to a circle then -

Answer 1

The line is perpendicular to the radius at the point of tangency

Question 2

If a line in the plane of a circle is perpendicular to a radius at it’s endpoint on the circle then-

Answer 2

The line is tangent to the circle

Question 3

If two tangent segments to a circle share a common endpoint outside the circle then -

Answer 3

The two segments are congruent

Question 4

Define A tangent to a circle

Answer 4

A line in the plane of the circle that intersects the circle in exactly one point

Question 5

What do you call the point where a circle and tangent intersect

Answer 5

The point of tangency

Question 6

Define chord

Answer 6

A segment whose endpoints are on a circle

Question 7

Define a Central angle

Answer 7

An angle with its vertex at the center of the circle.

• the measure of this angle is equal to the measure of the arc that it intercepts

Question 8

TRUE OR FALSE

In a circle / congruent circles central angles have congruent arcs

This also means that in a circle/ congruent circles congruent arcs have congruent central angles

Answer 8

True

Question 9

True or false

In a circle / congruent circles central angles have have congruent chords

This also would mean that In a circle / congruent circles congruent chords have central angles

Answer 9

TRUE

Question 10

True or false

Within a circle / congruent circles congruent chords have congruent arcs

This would also mean that within a circle / congruent circles congruent arcs have congruent chords

Answer 10

TRUE

Question 11

True or False

In a circle/ congruent circles cords equidistant from the center/ centers are congruent

This also would mean that

Answer 11

TRUE

Question 12

In a circle, if a diameter is perpendicular to a chord -

Answer 12

Then it bisects the chord and it’s arc

Question 13

In a circle, if a diameter bisects a chord (that is not a diameter) -

Answer 13

Then it is perpendicular to the chord

Question 14

In a circle, the perpendicular bisector of a chord contains -

Answer 14

the center of a circle

Question 15

Define inscribed angle

Answer 15

An angle whose vertex is on the circle and whose sides are chords of the circle

Question 16

Define intercepted arc

Answer 16

An arc with endpoints on the sides of an inscribed angle and it’s other points in the interior of the angles

Question 17

What is the measure of an inscribed angle

Answer 17

Half the measure of its intercepted arc

Question 18

Two inscribed angles that intercept the same arc are

Answer 18

Congruent

Question 19

An angle inscribed in a semicircle is a

Answer 19

Right angle

Question 20

The opposite angles of a quadrilateral inscribed in a circle

Answer 20

Are supplementary

Question 21

The measure formed by a tangent and a chord is

Answer 21

Half the measure of an intercepted arc

Question 22

Define Secant

Answer 22

A line that intersects a circle at two points

Question 23

The measure of an angle formed by two lines that intersect in a circle is

Answer 23

Half the sum of the measures of the intercepted arcs

Question 24

The measure of an angle formed by two lines that intersect outside a circle is

Answer 24

Half the difference of the measures of the intercepted arcs

Question 25

An equation of a circle with the center ( h,k) and radius is

Answer 25

(X-h) squared + (y-k) squared = the radius squared