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Homework Review
How do you know when two chords are congruent? LP PM ALP = BMP = 90 a.corresponding arcs are congruent A B C D M L P b. equidistant from the center
Flow Chart Proof
2x x x = 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 K x = 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 Z x = 1.5
In P, if PM AT, PT = 10, and PM = 8, find AT. T A M P MT = 6 AT = 12
Your turn! UTV XTW. Find WX.___________ Find ___________ º
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 b c d ab = cd
9 2 6 x x = 3 Solve for x.
Find the length of DB x 3x x = 4 DB = 20 A B C D
Find the length of each chord. x = 8 AC = 13 DB = 14 x 5 x A B C D
EAB C D EA EB = EC ED
E A B C D x 7(7 + 13) 4(4 + x) = Ex: 3 Solve for x. 140 = x 124 = 4x x = 31
E A B C D x 6(6 + 8) 5(5 + x) = Ex: 4 Solve for x. 84 = x 59 = 5x x = 11.8
E A B C EA 2 = EB EC
E A B C x 24 2 =12 (12 + x) 576 = x x = 36 Ex: 5 Solve for x.
E A B C 15 5 x x2x2 =5 (5 + 15) x 2 = 100 x = 10 Ex: 6