Vocabulary
Tangent Lines
Chords and Diameters
Congruent Chords, Arcs, Segments
Circles
100

What type of line is FG?


Secant

100


42.13

100

What is the length of RS?


10

100

Find x.


33

100

The equation of a circle is given. What is the radius? What is the center?


(x-4)2 + (y-1)2 = 16

Radius: 4

Center: (4, 1)

200

A line is tangent to a circle if and only if it is ____________________ to a radius drawn to the point of tangency.

perpendicular

200

Find the perimeter of the quadrilateral.


63.8

200

Find x.


5
200

In the diagram, CD=108, while AB=6(-3y-6). Solve for y.

-8

200

The graph of two circles are shown. What is the equation of each circle?


x2 + y= 9

(x-2)2 + (y+5)2 = 9

300

Fill in the blanks...

The distance from the center of a circle to a point on the circle is the ______.

A segment joining any 2 points on the circle is the _________.

A chord that passes through the center of the circle is called the _______.

A line that intersects a circle at exactly 2 points is called the _______.

A line that intersects a circle at exactly 1 point is called the ________.

Radius

Chord

Diameter

Secant

Tangent

300

Solve for x.


8
300

In the pictured circle, DE is a chord, while B is the center of the circle. If AC=7 and CB=28, find the measure of DE.

42

300

Give the measure of WV.


29

300

A circle has a center of (4, -1) and a radius of 6 units. What is the equation?

(x - 4)+ (y + 1)2 = 36

400

Identify the following:

A radius

A diameter

A chord


Radius: AH or AF


Diameter: HF


Chord: GD or HF or CD

400

Solve for x in both pictures.


63

22

400

AB is a chord in circle M whose radius is 25.5 cm. ME is a radius of the circle. AB and ME intersect at point D. If AB = 40.8 cm, what is the length of DE?


400

Find the following:

Length of QO

Length of OU

Length of QP

Length of PV

Length of VO


65

65

66

33

56

400

A circle has a center of (-9, 7) and a radius of sqrt 5 units. What is the equation?

(x + 9)2 + (y - 7)2 = 5

500

If a diameter or radius is perpendicular to a chord, then it _________________ the chord and its arc.


If two segments from the same external point are tangent to a circle, then they are __________________________.  


Two chords are congruent if their corresponding ____________________ are congruent.

bisects


congruent


arcs or central angles

500

If TP = 3(4b - 4) and SP = b + 32, give the measure of TP.


36

500

If the radius is 9, what is the length of BD?

16.97

500

Find the following:

Length of NO

Length of PT

Length of PV

Length of SO

x


30

24

24

18

12

500

The point (-7, 2) lies on a circle. The center of the circle is (-1, 4). Find the equation of the circle.


(x + 1)2 + (y - 4)2 = 40