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An equation of line a is y = x – 2.

- If you didn’t do well, the test will replace your quiz grade. This just shows you some mistakes that you made. Do not be to upset about it.

How do you know when two chords are congruent?

- corresponding arcs are congruent

B

A

M

P

b. equidistant from the center

L

C

LP PM

ALP = BMP = 90

D

2x

x + 40

2x = x + 40

x = 40

U

T

x = 8

TY = 32

K

E

R

S

Y

IF AC is the perpendicular bisector of segment DB, then…

D

It’s the DIAMETER!!!

Arcs DC and BC are congruent!!!

A

C

B

2. In Q, KL LZ. If CK = 2x + 3 and

CZ = 4x, find x.

Q

x = 1.5

C

Z

K

L

3. In P, if PM AT, PT = 10, and

PM = 8, find AT.

P

A

M

MT = 6

T

AT = 12

4. ÐUTV ÐXTW.

Find WX.

y=7

WX=11

5. Find

130º

30

6.CE =

7. LN =

96

Segment Lengths in Circles

Two chords intersect

INSIDE the circle

Type 1:

part

part

part

part

8. Solve for x.

9

6

x

x = 3

2

12

2x

8

3x

x = 4

DB = 20

A

D

C

B

D

x = 8

AC = 13

DB = 14

A

x – 4

x

C

5

10

B

Two secants intersect

OUTSIDE the circle

Type 2:

11. Solve for x.

B

13

A

7

E

4

C

x

D

7

(7 + 13)

=

4

(4 + x)

x = 31

140 = 16 + 4x

124 = 4x

12. Solve for x.

B

x

A

5

D

8

6

C

E

6

(6 + 8)

=

5

(5 + x)

84 = 25 + 5x

x = 11.8

59 = 5x

Type 2 (with a twist):

Secant and Tangent

13. Solve for x.

x

12

24

(12 + x)

242

=

12

x = 36

576 = 144 + 12x

14.

5

15

x

(5 + 15)

x2

=

5

x2 = 100

x = 10

Homework

Practice Worksheet