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No More Daily Warm Ups. EOCT Week 15 #1. An equation of line a is y = x – 2. Quiz. 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?.

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Eoct week 15 1
EOCT Week 15 #1

An equation of line a is y = x – 2.


Quiz

  • 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


1 in k k is the midpoint of re if ty 3x 56 and us 4x find the length of ty
1. 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


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


Your turn
Your turn!

4. ÐUTV ÐXTW.

Find WX.

y=7

WX=11


Your turn1
Your turn!

5. Find

130º


Your turn2
Your turn!

30

6.CE =


Your turn3
Your turn!

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


9 find the length of db

12

2x

8

3x

9. Find the length of DB.

x = 4

DB = 20

A

D

C

B


10 find the length of each chord
10. 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:


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


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