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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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Daily Check

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## 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

2x

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

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

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

### Your turn! 

ÐUTV ÐXTW.

Find WX.___________

130º

11

Find ___________

### Your turn! 

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

Secant and Tangent

2 Secants intersecet outside

Chords intersect inside

Two chords intersect

INSIDE the circle

Type 1:

a

ab = cd

d

c

b

Solve for x.

9

6

x

x = 3

2

12

2x

8

3x

x = 4

DB = 20

A

D

C

B

### Find the length of each chord.

D

x = 8

AC = 13

DB = 14

A

x - 4

x

C

5

10

B

Two secants intersect

OUTSIDE the circle

Type 2:

E

A

B

C

D

EA•EB = EC•ED

Ex: 3 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

Ex: 4 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

C

B

E

A

EA2= EB • EC

Ex: 5 Solve for x.

C

B

x

12

E

24

A

(12 + x)

242

=

12

x = 36

576 = 144 + 12x

Ex: 6

5

B

E

15

C

x

A

(5 + 15)

x2

=

5

x2 = 100

x = 10

Homework

Practice Worksheet