No more daily warm ups
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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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No More Daily Warm Ups

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No more daily warm ups

No More Daily Warm Ups


Eoct week 15 1

EOCT Week 15 #1

An equation of line a is y = x – 2.


No more daily warm ups

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.


No more daily warm ups

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

Flow Chart Proof


No more daily warm ups

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


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

D

It’s the DIAMETER!!!

Arcs DC and BC are congruent!!!

A

C

B


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2. In Q, KL  LZ. If CK = 2x + 3 and

CZ = 4x, find x.

Q

x = 1.5

C

Z

K

L


No more daily warm ups

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


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Segment Lengths in Circles


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Two chords intersect

INSIDE the circle

Type 1:

part

part

part

part


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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


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Two secants intersect

OUTSIDE the circle

Type 2:


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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


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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


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Type 2 (with a twist):

Secant and Tangent


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13. Solve for x.

x

12

24

(12 + x)

242

=

12

x = 36

576 = 144 + 12x


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14.

5

15

x

(5 + 15)

x2

=

5

x2 = 100

x = 10


No more daily warm ups

Homework

Practice Worksheet


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