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Secants, Tangents, and Angle Measures and Special Segments in a CircleChapter 10.6 and 10.7 Secants, Tangents, and Angle Measures and Special Segments in a Circle
Secant A secant is a line that intersects a circle in exactly two points.
Use Intersecting Chords or SecantsA. Find x. Answer: x = 82
Use Intersecting Chords or SecantsB. Find x.
Use Intersecting Chords or SecantsC. Find x. Answer: x = 95
B. Find x. A. 92 B. 95 C. 97 D. 102
C. Find x. A. 96 B. 99 C. 101 D. 104
A. Find x. A. 92 B. 95 C. 98 D. 104
A. Find mQPS. Answer: mQPS = 125Use Intersecting Secants and Tangents A. Find mQPS. Answer: mQPS = 125
Use Intersecting Secants and TangentsB. Answer:
A. Find mFGI. A. 98 B. 108 C D
B. A. 99 B C. 162 D. 198
Use Tangents and Secants that Intersect Outside a Circle
Use Tangents and Secants that Intersect Outside a CircleB.
A. A. 23 B. 26 C. 29 D. 32
B. A. 194 B. 202 C. 210 D. 230
Example 4 Apply Properties of Intersecting Secants
Concept When two chords intersect inside a circle, each chord is divided into two segments, called chord segments.
Use the Intersection of Two ChordsA. Find x.
Example 1 Use the Intersection of Two Chords B. Find x.
A. Find x. A. 12 B. 14 C. 16 D. 18
Example 1 B. Find x. A. 2 B. 4 C. 6 D. 8
Use the Intersection of Two SecantsFind x.
Find x. Needs to be changed! A B. 50 C. 26 D. 28
Example 4 Use the Intersection of a Secant and a Tangent LM is tangent to the circle. Find x. Round to the nearest tenth.
Find x. Assume that segments that appear to be tangent are tangent.C. 28 D. 30
Segment Lengths in Circles 10.5 Chapter 10 Circles Section 10.5 Segment Lengths in Circles Find the lengths of segments of chords. Find the lengths of.
Use Intersecting Chords or Secants A. Find x. Answer: Theorem Substitution Simplify.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–5) Then/Now New Vocabulary Theorem Example 1:Use Intersecting Chords or Secants Theorem.
Over Lesson 10–5 5-Minute Check 1 A.yes B.no Determine whether BC is tangent to the given circle. ___ A.A B.B.
Splash Screen. CCSS Content Standards Reinforcement of G.C.4 Construct a tangent line from a point outside a given circle to the circle. Mathematical.
Section If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is half the measure it its intercepted.
Find Segment Lengths in Circles Lesson Definition When two chords intersect in the interior of a circle, each chord is divided into two segments.
Geometry – Segments of Chords and Secants
Section 9-7 Circles and Lengths of Segments. Theorem 9-11 When two chords intersect inside a circle, the product of the segments of one chord equals the.
Other Angle Relationships in Circles GEOMETRY SECTION 8 DAY 3.
Chapter 10 Circles Section 10.1 Goal – To identify lines and segments related to circles To use properties of a tangent to a circle.
Bellwork If 10 is multiplied by 10 more than a number, the product is the square of 24. Find the number Solve for x 21(x-4)=(2x-7)(x+2) 3x 2 -13x-7=0.
1. Assume that lines that appear tangent are tangent. Find the value of x.
6.5 Other Angle Relationships in Circles. Theorem 6.13 If a tangent and a chord intersect at a point on the circle, then the measure of each angle formed.
Classifying Angles with Circles
Pg 651. A chord is a line segment with each endpoint on the circle A diameter is a chord that passes through the center of the circle. A secant of a circle.
10.5: Find Segment Lengths in Circles
10.5 Segment Lengths in Circles
Geometry Warm-Up4/5/11 1)Find x.2) Determine whether QR is a tangent.
Other Angle Relationships in Circles Section 10.4
10.4: Angles formed by Secants and Tangents Obj: ______________________ __________________________.
Geometry Section 10.4 Angles Formed by Secants and Tangents
Session 25 Warm-up 1.Name a segment tangent to circle A. 2.What is the 3.If BD = 36, find BC. 4.If AC = 10 and BD = 24, find AB. 5.If AD = 7 and BD = 24,
TODAY IN GEOMETRY… Review: Finding inside and outside angles of circles Warm up: Finding angles Learning Target : 10.6 You will find lengths of segments.
6.5Apply Other Angle Relationships Theorem 6.13 If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one.
5-Minute Check on Lesson 10-6 Transparency 10-7 Click the mouse button or press the Space Bar to display the answers. Find x. Assume that any segment that.
Apply Other Angle Relationships in Circles
Other Angle Relationships
SECANTS Secant - A line that intersects the circle at two points.
Sec. 12 – 4 Measures & Segment Lengths in Circles Objectives: 1) To find the measures of s formed by chords, secants, & tangents. 2) To find the lengths.
Secants, Tangents, and Angle Measures
Section 10.4 Other Angle Relationships in Circles.
GEOMETRY: Chapter : Other Relationships in Circles.
Bellwork 1) (x+3)(x+7) 2) (2x+4)(x-4).
Rules for Dealing with Chords, Secants, Tangents in Circles
Chapter 6 Circles Exploring Circles 3 Circle Vocabulary Circle – set of all points equidistant from a point Chord – segment whose endpoints are.
Lesson 9-6 Other Angles (page 357) Essential Question How can relationships in a circle allow you to solve problems involving angles of a circle?
Chapter 10.1 Notes: Use Properties of Tangents Goal: You will use properties of a tangent to a circle.
Sec. 12 – 4 Measures & Segment Lengths in Circles.
Lesson 9.2A R.4.G.5 Investigate and use the properties of angles (central and inscribed) arcs, chords, tangents, and secants to solve problems involving.
Holt McDougal Geometry 11-1 Lines That Intersect Circles Toolbox pg. 751 (11-27;31-33; 39 why 4 )
Special Segments in Circles One last stint with Chords, Secants, and Tangents.
Lesson 9.3A R.4.G.6 Solve problems using inscribed and circumscribed figures.
Lesson 6.1 Properties of Tangents Page 182. Q1 Select A A.) This is the correct answer. B.) This is the wrong answer. C.) This is just as wrong as B.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–6) CCSS Then/Now New Vocabulary Theorem 10.15: Segments of Chords Theorem Example 1:Use the.
GEOMETRY Circle Terminology.
6.5 Apply other Angle Relationships in Circles Quiz: MONDAY! Quiz: Nov Test: Nov. 30 Performance Exam: Dec. 2.
Warm-up 1.Name a segment tangent to circle A. 2.What is the 3.If BD = 36, find BC. 4.If AC = 10 and BD = 24, find AB. 5.If AD = 7 and BD = 24, find BE.
Properties of Cricles Part 1 Day 17. Day 17 Math Review.
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