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Published byMiguel Palmer
Modified over 3 years ago
74° 38° x° For each circle, find the measure of x. 1. 2. 3.
Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Todays Question: How do we find segment lengths in circles? Standard: MM2G3.b
6.6 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 3 2 12 y y = 8 3 26 z z = 1 Ex: 1 Solve for x.
Ex: 2 Solve for x. 8 12 2x 3x 2x 3x = 12 8 6x 2 = 96 x 2 = 16 x = 4
EAB C D EA EB = EC ED
E A B C D 7 13 4 x 7(7 + 13) 4(4 + x) = Ex: 3 Solve for x. 140 = 16 + 4x 124 = 4x x = 31
E A B C D 8 5 6 x 6(6 + 8) 5(5 + x) = Ex: 4 Solve for x. 84 = 25 + 5x 59 = 5x x = 11.8
E A B C EA 2 = EB EC
E A B C 24 12 x 24 2 =12 (12 + x) 576 = 144 + 12x 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
a b c d ab = cd x x = x x = x x = 1 Example 1:
Ch 10 Question: What special properties are found with the parts of a circle? Todays Question: How do we find segment lengths in circles?
Warm-up Find the measures of angles 1 – 4.
If you prefer to hear the voiceover of this lesson, go to the “Links” tab on my webpage and open up the “Segments of Circles” link.
Bellwork 1) (x+3)(x+7) 2) (2x+4)(x-4).
Sec 10-6 Date: Concept: Segment Lengths in Circles
Equations of Circles. Equation of a Circle The center of a circle is given by (h, k) The radius of a circle is given by r The equation of a circle in.
Find Segment Lengths in Circles Lesson Definition When two chords intersect in the interior of a circle, each chord is divided into two segments.
Daily Check. Homework Review UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MMC9-12.G.C.1-5,G.GMD.1-3 Today’s.
10.6 Segment Lengths in Circles
Daily Check. 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.
Solve Multi-step Equations
FACTORING Think Distributive property backwards Work down, Show all steps ax + ay = a(x + y)
Properties of Exponents
Test B, 100 Subtraction Facts
0 - 0.
The Pythagorean Theorem
Daily Check For each circle C, find the value of x. Assume that segments that appear to be tangent are. (4 pts each) C 8 x 12 K T.
CIRCLES Everything you wanted to know and then some!!
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