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# Daily Check - PowerPoint PPT Presentation

Daily Check. Homework Review. 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. Flow Chart Proof. 2x. x + 40. 2x = x + 40 x = 40.

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### Homework Review

• corresponding arcs are congruent

B

A

M

P

b. equidistant from the center

L

C

LP  PM

ALP = BMP = 90

D

x + 40

2x = x + 40

x = 40

In K, K is the midpoint of RE. If TY = -3x + 56 and US = 4x, find the length of TY.

U

T

x = 8

TY = 32

K

E

R

S

Y

D

It’s the DIAMETER!!!

Arcs DC and BC are congruent!!!

A

C

B

IN Q, KL  LZ. IF CK = 2X + 3 and

CZ = 4x, find x.

Q

x = 1.5

C

Z

K

L

In P, if PM  AT, PT = 10, and PM = 8, find AT.

P

A

M

MT = 6

T

AT = 12

ÐUTV ÐXTW.

Find WX.___________

130º

11

Find ___________

Find the length of each chord.

96

30

LN = _______

CE = _______

Segment Lengths in Circles

• Find the lengths of segments of chords

• Find the lengths of segments of tangents and secants

2 Secants intersecet outside

Chords intersect inside

INSIDE the circle

Type 1:

a

ab = cd

d

c

b

9

6

x

x = 3

2

2x

8

3x

Find the length of DB.

x = 4

DB = 20

A

D

C

B

D

x = 8

AC = 13

DB = 14

A

x - 4

x

C

5

10

B

OUTSIDE the circle

Type 2:

E

A

B

C

D

EA•EB = EC•ED

B

13

A

7

E

4

C

x

D

7

(7 + 13)

=

4

(4 + x)

x = 31

140 = 16 + 4x

124 = 4x

B

x

A

5

D

8

6

C

E

6

(6 + 8)

=

5

(5 + x)

84 = 25 + 5x

x = 11.8

59 = 5x

Secant and Tangent

C

B

E

A

EA2= EB • EC

C

B

x

12

E

24

A

(12 + x)

242

=

12

x = 36

576 = 144 + 12x

5

B

E

15

C

x

A

(5 + 15)

x2

=

5

x2 = 100

x = 10

Practice Worksheet