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a b c d ab = cd
9 2 6 x x = x x = x x = 1 Example 1:
Example 2: Find x x 3x 2x 3x = x 2 = 96 x 2 = 16 x = 4
EAB C D EA EB = EC ED
E A B C D x 7(7 + 13) 4(4 + x) = Example 3: 140 = x 124 = 4x x = 31
E A B C D x 6(6 + 8) 5(5 + x) = Example 4: 84 = x 59 = 5x x = 11.8
Tangent Segment Secant Segment External Segment Notice that on the tangent segment, the outside is the whole!
E A B C EA 2 = EB EC
E A B C x 24 2 =12 (12 + x) 576 = x x = 36 Example 5:
E A B C 15 5 x x2x2 =5 (5 + 15) x 2 = 100 x = 10 Example 6:
What you should know by now… Given two chords, USE Given two secants OR a tangent and a secant, USE
74° 38° x° For each circle, find the measure of x
Ch 10 Question: What special properties are found with the parts of a circle? Todays Question: How do we find segment lengths in circles?
Bellwork 1) (x+3)(x+7) 2) (2x+4)(x-4) Segment Lengths in Circles.
Sec 10-6 Concept: Segment Lengths in Circles Objective: Given theorems about chords of a circle, find the lengths of segments. Date:
Other Angle Relationships in Circles Section 10.4 Goal: - To solve problems using angles formed by tangents, chords and lines that intersect a circle.
Section 10.1 Circles Notes What is a CIRCLE? A CIRCLE is the set of all points in a plane equidistant from a given point.
Unit 12 Day 6. Exam Warm Up Find x x Angles, Chord and Secants Part 1 - Angles Part 1 - Angles.
Vocabulary chord segment secant segment external secant segment tangent segment.
Circles Chapter Tangents to Circles Circle: the set of all points in a plane that are equidistant from a given point. Center: the given point.
Multiples and Factors Lesson 4.1. Multiples A multiple is formed by multiplying a given number by the counting numbers. The counting numbers are 1, 2,
Special Segments in a Circle Chapter Lesson 7 MI/Vocab Find measures of segments that intersect in the interior of a circle. Find measures of segments.
Vocabulary secant. Concept Example 1 Use Intersecting Chords or Secants A. Find x. Answer: x = 82 Theorem Substitution Simplify.
Solve Multi-step Equations Students will solve equations with multiple steps (more than two) using distributive property, combining like terms, and inverse.
LO: Count up to 100 objects by grouping them and counting in 5s 10s and 2s. Mrs Criddle: Westfield Middle School.
Cryptography. Cryptography is concerned with keeping communications private. Today governments use sophisticated methods of coding and decoding messages.
Date: Sec 10-1 Concept: Tangents to Circles Objective: Given a circle, identify parts and properties as measured by a s.g.
Prime and Composite Numbers. These are numbers that have only two factors – themselves and one. These are numbers that have only two factors – themselves.
Factor P (8-5ab) 2. 4(d² + 4) 3. 3rs(2r – s) 4. 15cd(1 + 2cd) 5. 8(4a² + 3b²) 6. 12xy(3y – 4x) 7. 5x²y(6x + 7y) 8. 3cd²(3c² - 2d) 9. 15bc³(5b +
Prime Time Circle the seven prime numbers that, when added together, equal 75. 3, 11, 14, 13, 5, 17, 12, 6, 19, 23, 7, 9 Remember a prime number is a number.
© 2007 M. Tallman. The area of this rectangle is 40 cm². If you divide this rectangle in half, what two shapes do you see? A = 40 cm²
Geometry 10.5 Segment Length in Circles
2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt Easy Little Harder Medium.
Classifying Angles with Circles Case 1: Vertex is on the circle. a. b.
A(a,b) y = mx +c y = f(x) EQUATIONS OF TANGENTS tangent NB: at A(a, b) gradient of line = gradient of curve gradient of line = m (from y = mx + c ) gradient.
Arithmetic and Geometric Means OBJ: Find arithmetic and geometric means.
GEOMETRYGEOMETRY Circle Terminology. Radius (or Radii for plural) The segment joining the center of a circle to a point on the circle. Example: OA.
FACTORING REVIEW EXAMPLES 1. Factor x 2 + 3x – 4Solve x 2 + 3x – 4 = 0 Graph Y 1 = x 2 + 3x – 4 Find x-intercepts What _____× _____ = – 4 and _____+ _____.
10.1 Tangents to Circles Geometry Mr. Davenport Spring 2010.
ALGEBRAIC EXPRESSIONS Step 1 Write down the question Step 2 Plug in the numbers Step 3 Use PEMDAS Work down, Show all steps.
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