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?

LP PM

ALP = BMP = 90

a. corresponding arcs are

congruentA

B

C

D

M

L

P AD BC

b. equidistant from the center

Flow Chart Proof

AB CD

Given

EA EB EC ED

All radii are congruent

AEB CED

Congruent arcs have

congruent measures

AEB CED

SAS

AB CD

CPCTC

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.

Y

T

S

Kx = 8

TY = 32

U

R

E

A

B

C

D

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

It’s the DIAMETER!!!Arcs DC and BC are congruent!!!

2. In Q, KL LZ. If CK = 2x + 3 and CZ = 4x, find x.

K

Q

C

L

Zx = 1.5

3. In P, if PM AT, PT = 10, and

PM = 8, find AT.

T

AM

P

MT = 6AT = 12

Your turn!

4. ÐUTV ÐXTW.

Find WX.

y=7WX=11

Your turn!

5. Find mAB

130º

Your turn!

6.CE =30

Your turn!

7. LN =

96

Segment Lengths

in Circles

part

part

partpart

part part = part part

9

2

6

xx = 3

8. Solve for x.

9. Find the length of DB.

8

12

2x

3x

x = 4

DB = 20

A

B

C

D

10. Find the length of each chord.

x = 8

AC = 13

DB = 14

x

5

x – 4

10

A

B

C

D

outside whole = outside whole

EA

B

C

D

713

4

x

7(7 + 13) 4 (4 + x)=

11. Solve for x.

140 = 16 + 4x124 =

4x

x = 31

E

A

B

CD 8

5

6

x

6 (6 + 8)

5(5 + x)=

12. Solve for x.

84 = 25 + 5x59 = 5x x =

11.8

2tan = outside whole

24

12 x

242 = 12 (12 + x)576 = 144 + 12x x = 36

13. Solve for x.

15

5

x

x2 = 5 (5 + 15)x2 = 100

x = 10

14.