Circles

Question 0

What is a tangent

Answer 0

In the plane of a circle that intersects the circle in exactly 1 place

Question 1

What is a chord

Answer 1

A segment who’s endpoints are on the circle

Question 2

What is a secant

Answer 2

A line that intersects a circle in 2 spots

Question 3

What do 2 circles have to look like to share 3 common tangents

Answer 3

They have to be touching but not overlapping

Question 4

What do 2 circles have to look like to have 2 common tangents

Answer 4

Not touching (but not inside of one another) or overlapping

Question 5

What do 2 circles have to look like to have 1 common tangent

Answer 5

They have to be inside of one another and touching at 1 point

Question 6

What do 2 circles have to look at to have no tangents in common

Answer 6

1 has to be inside of the other

Question 7

A line is only a tangent if it is ____________ to a radius at its endpoint on the circle

Answer 7

Perpendicular

Question 8

Two tangents coming from the same external point are?

Answer 8

Congruent

Question 9

What is a major arc and how is it classified?

Answer 9

An arc measuring more than 180 degrees and with 3 letters on the arc

Question 10

What is a minor arc and how is it classified

Answer 10

An arc that is less than 180 degrees and with 2 letters

Question 11

2 minor arcs are congruent only If?

Answer 11

Their chords are congruent

Question 12

If one chord is perpendicular to another then the second chord is?

Answer 12

A diameter

Question 13

If a diameter is perpendicular to a chord then…?

Answer 13

It bisects the chord and it’s arc

Question 14

2 chords are congruent if and only if…?

Answer 14

They are equidistant from the center

Question 15

What is an inscribed angle

Answer 15

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

Question 16

What is an intercepted arc

Answer 16

The arc made by an inscribed angle that has endpoints on the angle

Question 17

What is an inscribed polygon

Answer 17

A polygon that lies in a circle and had all vertices on the circle

Question 18

What is a circumscribed circle?

Answer 18

The circle that contains an inscribed polygon and it’s vertices

Question 19

How does the measure of an inscribed angle compare to the measure of its arc?

Answer 19

The arc is twice the measure of the angle

Question 20

If 2 inscribed angles intercept the same arc then…..?

Answer 20

The angles are congruent

Question 21

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

Answer 21

It’s opposite angles are supplementary

Question 22

If a tangent and chord intersect on a circle then the measure if each angle is…?

Answer 22

Half of the measure if it’s intercepted arc

Question 23

How do you find the measure of an angle of 2 chords that intersect

Answer 23

Average the measure of the arcs made by the angle and it’s vertical angle

Question 24

How do you find the lengths of 2 intersecting chords?

Answer 24

Multiply the segments of the chords together and set them equal,to each other

Question 25

How do you find the lengths of 2 secants, tangents or a secant and a tangent coming from the same point?

Answer 25

Multiply the tangent times the whole line and set them equal to each other

Question 26

What is the standard equation of a circle?

Answer 26

(X-h)2+(y-k)2=r2

Question 27

What does (h,k) stand for in the standard equation of a circle?

Answer 27

The coordinates of the center of the circle

Question 28

What does the point (x,y) stand for in the standard equation of a circle?

Answer 28

Any point on the circle

Question 29

What does r2 stand for in the standard equation of a circle

Answer 29

The radius of the circle squared