Chord Properties and Segments Lengths in Circles

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Presentation transcript:

Chord Properties and Segments Lengths in Circles

If two chords are congruent, then their corresponding arcs are congruent.

Solve for x. 8x – 7 3x + 3 8x – 7 = 3x + 3 x = 2

Find the length of WX.

Find 360 – 100 260 divided by 2 130º

If two chords are congruent, then they are equidistant from the center.

In K, K is the midpoint of RE In K, K is the midpoint of RE. If TY = -3x + 56 and US = 4x, find the length of TY. U T K E x = 8 R S Y TY = 32

If a diameter is perpendicular to a chord, then it also bisects the chord. This results in congruent arcs too. Sometimes, this creates a right triangle & you’ll use Pythagorean Theorem.

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

MT = 6 AT = 12 In P, if PM  AT, PT = 10, and PM = 8, find AT. P A M

30 Find the length of CE x BD is a radius. CB is a radius. What is the length of the radius? 25 Now double it to find CE. 30 25 x

Find the length of LN. LN = 96 MK and KL are radii. Now double it to find LN. x 50 LN = 96