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11.1 Parts of a Circle - Murrieta Valley Unified School ...

Of a Circle589 Goal Identify segments andlines related to circles. Key Words chord diameter p. 452 radius p. 452 secant tangent point of of a CircleThe diagrams below show special segments and lines of a a segment whose endpoints are points on a diameteris a chord that passes through the center of a radiusis a segment whose endpoints are the center of a Circle and a point on the a line that intersects a Circle in two a line in the plane of a Circle that intersects the Circle in exactly one point. The point is called a .point of tangencytangentsecantchordSTUDYTIPTo identify a Circle , you can name the pointthat is the center of the Circle .

11.1 Parts of a Circle 589 Goal Identify segments and lines related to circles. Key Words • chord • diameter p. 452 • radius p. 452 • secant • tangent • point of tangency 11.1 Parts of a Circle The diagrams below show special segments and lines of a circle. A is a segment whose endpoints are points on a circle. A diameter is a chord ...

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Transcription of 11.1 Parts of a Circle - Murrieta Valley Unified School ...

1 Of a Circle589 Goal Identify segments andlines related to circles. Key Words chord diameter p. 452 radius p. 452 secant tangent point of of a CircleThe diagrams below show special segments and lines of a a segment whose endpoints are points on a diameteris a chord that passes through the center of a radiusis a segment whose endpoints are the center of a Circle and a point on the a line that intersects a Circle in two a line in the plane of a Circle that intersects the Circle in exactly one point. The point is called a .point of tangencytangentsecantchordSTUDYTIPTo identify a Circle , you can name the pointthat is the center of the Circle .

2 In Example 1,Cis the center, so thecircle is called ( HelpTell whether the line or segment is best described as a chord, a secant, a tangent, a diameter, or a radiusof ( * * ^&*( ^&*( *is a diameter because it passes through the center Cand its endpoints are points on the *is a chord because its endpoints are on the ^&*(is a tangent because it intersects the Circle in exactly one ^&*(is a secant because it intersects the Circle in two Special Segments and LinesCFEGDKBJAHC chordCradiusdiametertangentpoint of tangencysecantCPage 1 of a chord, a secant, a tangent, a diameter,a radius, the center, and a point of Example 3, name the coordinates of the pointof tangency of the y-axis to ( 11 CirclesIdentify a chord, a secant, a tangent, a diameter,two radii, the center, and a point of *is a ^&*(is a ^&*(is a *is a *is a *is a the a point of tangency.)))))))))

3 EXAMPLE2 Name Special Segments, Lines, and PointsEXAMPLE3 Circles in Coordinate GeometryVOCABULARYTIPThe plural of HelpParts of a CircleCFEGDKBJAHCFEGDKBJAHWhen a Circle lies in a coordinate plane, you can use coordinates todescribe particular points of the the coordinates of the center ofeach the coordinates of the intersectionof the two is the line that is tangent to bothcircles? Name the coordinates of thepoint of is the length of the diameter of (B?What is the length of the radius of (A? center of (A is A(4, 4). The center of (Bis B(4, 2). intersection of the two circles is the point (4, 0).))))

4 X-axis is tangent to both circles. The point of tangency is (4, 0). diameter of (Bis 4. The radius of (Ais examples HelpIC L A S S Z O N E . C O Myx11 ABPage 2 of of a a Circle . Then sketch and label aradius, a diameter, a chord, and a the part of the Circle with the term that best describes ** * ** of ^&*( the Circle to name the coordinates of the points. of a point of of a chord that is not a of a radius Finding RadiiThe diameter of a Circle is given. Find the 515 mFinding DiametersThe radius of a Circle is given. Find the cmIdentifying TermsName the term that best describes the given line, segment, or ** ^&*( ** * and ApplicationsSkill CheckVocabulary CheckGuided 1:Exs.))))

5 21232 Example 2:Exs. 33239 Example 3:Exs. 40247 Homework HelpExtra PracticeSee p. 3 of 5592 Chapter 11 CirclesIdentifying TermsTell whether the line or segment is best described as a chord, a secant, a tangent, a diameter, or a * * * ^&*( ^&*( ^&*(Identifying TermsIdentify a chord, a secant, a diameter, a radius,and a point of MapThe diagram shows the layout of the streets on Mexcaltit n two two the diameter of the Circle longer than HC**? you draw a line through three of thegiven points that is tangent to the Circle ? Coordinate GeometryUse the diagram are the coordinates of the center of (A?))))

6 Of (B? is the length of the radius of (A? of (B? the coordinates of theintersection of the two GeometryName the coordinates of the center of eachcircle, identify the point of intersection of the circles, and identify aline that is tangent to both N is a tinyisland located on the westcoast of Mexico. Its settlementfollows the circular shape ofthe chordis a secantis a *is a ^&*(is a It!ABCDFGHJKLEPage 4 of of a Circle593 Coordinate GeometryUse the diagram are the lengths of the radius and the diameter of the Circle ? the length of the chord AB&*. the diagram and sketch a tangent that passes through Exercises 48 and 49, use the diagram ChoiceWhich of the following is a secant?))))

7 XAEF&*XBGH^&*(XCAB&*XDEF^&*( ChoiceWhich of the following is a tangent?XFEF^&*(XGGH^&*(XHAB&*XJAC&*Cong ruent TrianglesTell which theorem or postulate you can use to show that the triangles are congruent. Explain your reasoning.(Lessons , ) GeometryPlot the points and draw the the slopes of the segments to determine whether thequadrilateral is a parallelogram. (Lesson ) (0, 0), B(1, 3), C(5, 3), D(4, 0) (2, 1), Q(0, 5), R(2, 5), S(4, 1)Simplifying RadicalsFind the square root. Round your answer tothe nearest tenth. (Lesson )55. 3w2w56. 8w1w57. 4w0w58. 1w0w4w59. 9w8w60. 1w9w2w61.))))

8 2w5w0w62. 2w4w2wSolving EquationsSolve the equation. (Skills Review, p. 673) 7 523 Algebra SkillsTSRPPCBADM ixed ReviewStandardized TestPracticeFDGHAECByx11 CBDAE(4, 3)LKJRPPPage 5 of 5


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