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Published bySterling Catledge
Modified about 1 year ago
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.
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 = 12 8 6x 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 Given two secants OR a tangent and a secant
a b c d ab = cd x x = x x = x x = 1 Example 1:
Bellwork 1) (x+3)(x+7) 2) (2x+4)(x-4) Segment Lengths in Circles.
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.
74° 38° x° For each circle, find the measure of x
Other Angle Relationships in Circles Section 10.4 Goal: - To solve problems using angles formed by tangents, chords and lines that intersect a circle.
Sec 10-6 Concept: Segment Lengths in Circles Objective: Given theorems about chords of a circle, find the lengths of segments. Date:
Unit 12 Day 6. Exam Warm Up Find x x Angles, Chord and Secants Part 1 - Angles Part 1 - Angles.
Ch 10 Question: What special properties are found with the parts of a circle? Todays Question: How do we find segment lengths in circles?
Classifying Angles with Circles Case 1: Vertex is on the circle. a. b.
GEOMETRYGEOMETRY Circle Terminology. Radius (or Radii for plural) The segment joining the center of a circle to a point on the circle. Example: OA.
GEOMETRYGEOMETRY Circle Terminology Free powerpoints at
A chord that goes through the center of a circle diameter.
1.Quiz Review a)Is this polygon convex or concave? How do you know? b)Give three names for the polygon. c)What is happening When you assume? d)Draw an.
1.Circle Notes A circle is the set of all points in a plane at a given distance from a given point Circles (Part 1)
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.
Warm-up #5 A B C D 63 o ( 9x o Find x and m AD. Table of Contents Section Other Angle Relationships in Circles.
Warm up 1.Graph the equation of the line using slope & y-intercept 4x – 2y = 10.
The geometric mean is the positive number x such that: A X X B.
We Calculus!!! 3.2 Rolle s Theorem and the Mean Value Theorem.
Radius- Is the edge to the middle of the circle. Diameter- It goes throw the whole center of the circle.
Vocabulary chord segment secant segment external secant segment tangent segment.
10.1 Tangents to Circles Geometry Mr. Davenport Spring 2010.
Goal: By the end of the lesson, students will be able to find the slope of a line from a graph.
FeatureLesson Geometry Lesson Main (For help, go to Lesson 1-7.) Lesson an angle bisector 2. a perpendicular bisector of a side 3. Draw GH Construct.
1 UNIT 1B LESSON 3 SLOPE OF A SECANT. DEFINITION: A secant is a line that cuts a curve in two or more distinct points. P1P1 P2P2 P1P1 P2P2 P3P3 2.
A is at -1, and B is at -7. Find the point, T, so that T partitions A to B in a 2:1 ratio. Warm up.
Date: Sec 10-1 Concept: Tangents to Circles Objective: Given a circle, identify parts and properties as measured by a s.g.
C IRCLES Identifying parts of the circle. V OCABULARY Radius Chord Diameter Arc Center.
Tangent Properties Objective: Discover properties of tangents.
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.
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