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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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Presentation Transcript
eoct week 15 1
EOCT Week 15 #1

An equation of line a is y = x – 2.

slide3
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.
slide4

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

slide6

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

slide8

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

D

It’s the DIAMETER!!!

Arcs DC and BC are congruent!!!

A

C

B

slide9

2. In Q, KL  LZ. If CK = 2x + 3 and

CZ = 4x, find x.

Q

x = 1.5

C

Z

K

L

slide10

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

slide17

Two chords intersect

INSIDE the circle

Type 1:

part

part

part

part

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

slide21

Two secants intersect

OUTSIDE the circle

Type 2:

slide22

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

slide23

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

slide24

Type 2 (with a twist):

Secant and Tangent

slide25

13. Solve for x.

x

12

24

(12 + x)

242

=

12

x = 36

576 = 144 + 12x

slide26

14.

5

15

x

(5 + 15)

x2

=

5

x2 = 100

x = 10

slide27

Homework

Practice Worksheet