daily check
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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. - PowerPoint PPT PresentationTRANSCRIPT
Daily Check
Homework Review
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
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!!!
IN Q, KL LZ. IF CK = 2X + 3 and CZ = 4x, find x.
K
Q
C
L
Zx = 1.5
In P, if PM AT, PT = 10, and PM = 8, find AT.
T
AM
P
MT = 6AT = 12
Your turn!
ÐUTV ÐXTW.
Find WX.___________ Find ___________mAB11 130º
Your turn!
Find the length of each chord.
CE = _______ LN = _______30 96
Segment Lengths in Circles
Find the lengths of segments of chords
Find the lengths of segments of tangents and secants
a
bc
d ab = cd
part part = part part
9
2
6
xx = 3
Solve for x.
Find the length of DB.
8
12
2x
3x
x = 4
DB = 20
A
B
C
D
Find the length of each chord.
x = 8
AC = 13
DB = 14
x
5
x - 4
10
A
B
C
D
E A B
C
D
EA • EB = EC • EDoutside whole = outside whole
EA
B
C
D
713
4
x
7 (7 + 13) 4(4 + x)=
Ex: 3 Solve for x.
140 = 16 + 4x124 = 4x
x = 31
E
A
B
CD 8
5
6
x
6 (6 + 8) 5(5 + x)=
Ex: 4 Solve for x.
84 = 25 + 5x59 = 5x x = 11.8
E
A
B C
EA2 = EB • ECoutside whole = outside whole
E
A
B C
24
12 x
outside whole = outside whole 242 = 12 (12 + x)576 = 144 + 12x x = 36
Ex: 5 Solve for x.
E
A
B
C
15
5
x
outside whole = outside whole x2 = 5 (5 + 15)
x2 = 100
x = 10
Ex: 6