Geometry Unit 10 Note Sheets 2018 Date Name Of Lesson

Geometry Unit 10 Note Sheets 2018DateName of Lesson10.1 Circles and Circumference10.2 Measuring Angles and Arcs Part 110.2 Measuring Angles and Arcs Part 210.3 Arcs and ChordsQuiz 110.4 Inscribed Angles10.5 TangentsQuiz 2Circles Review (if needed)10.6 Secants, Tangents, and Angle MeasuresReview of Secants, Tangents, and Angle Measures (ifneeded)Quiz 3Constructing Circumscribed and Inscribed Figures11.3 Area of Circles and Arc LengthsPractice TestUnit 10 Test1

Geometry Unit 10 Note Sheets 2018Circles and Circumference NotesSpecial Segments in a CircleradiuschorddiameterGuided Practice1. Use the circle to the right to find the below parts:Name of CircleRadiusChordDiameterYour Turn2. Use the circle to the right to find the below parts:Name of CircleRadiusChordDiameterRadius and Diameter RelationshipsCongruent CirclesCircle PairsConcentric Circles2

Geometry Unit 10 Note Sheets 2018Guided Practice3.Your Turn4.CircumferenceGuided Practice5. Find the circumference of a circle with radius of 64.6 cm6. Find the circumference of a circle with the diameter of 87.3 in.Your Turn7. Find the circumference of a circle with the radius 97.2 ft.8. Find the circumference of a circle with the diameter of 12.35 m.Guided Practice9. Given the circumference of a circle is 345 in., find the diameter and radius.Your Turn10. Given the circumference of a circle is 19.4 ft., find the diameter and radius.3

Geometry Unit 10 Note Sheets 2018Measuring Angles and Arcs NotesSum of Central AnglesGuided Practice1. Find the value of x.Your Turn2. Find the value of x.ArcArcs and Arc MeasuresMinor ArcMajor ArcSemicircle4

Geometry Unit 10 Note Sheets 2018Guided Practice̅̅̅ is the diameter of 𝐾. Identify each arc as a major arc, minor arc, or semicircle. Then find the measure.𝐺𝐽3.4.Your TurnGuided PracticeRefer to the circle graph. Find each measure.8.9.Your TurnRefer to the circle graph. Find each measure.10.11.5

Geometry Unit 10 Note Sheets 2018Measuring Angles and Arcs Part 2 NotesYour Turn1.VocabularyAdjacent ArcsArc Addition PostulateGuided PracticeFind the measure in 𝐹.2.3.Your Turn4.6

Geometry Unit 10 Note Sheets 2018Arc LengthNOTE: There is a difference between the measure of an Arc and the Arc Length!Guided Practice5.6.Your Turn7.8.7

Geometry Unit 10 Note Sheets 2018Arcs and Chords NotesTheoremGuided Practice1. Find the value of x.Your Turn2. Find the value of x.Guided Practice3. Find the value of x.Your Turn4. Find the value of x.8

Geometry Unit 10 Note Sheets 2018TheoremGuided Practice5.6.Your Turn7.TheoremGuided PracticeYour Turn8.9.9

Geometry Unit 10 Note Sheets 2018Inscribed Angles NotesVocabulary:Inscribed AngleIntercepted ArcThree ways that an angle can be inscribed in a circle.Inscribed Angle TheoremGuided PracticeFind each measure.1.2.Your Turn3.4.10

Geometry Unit 10 Note Sheets 2018TheoremGuided Practice5.Your Turn6.11

Geometry Unit 10 Note Sheets 2018TheoremGuided Practice1. Find 𝑚 𝐹.Your Turn2. Find 𝑚 𝐶.12

Geometry Unit 10 Note Sheets 2018TheoremGuided Practice4.Your Turn5.13

Geometry Unit 10 Note Sheets 2018Tangents NotesVocabularyTangentPoint of TangencyCommon TangentTheoremGuided Practice1.2.Your Turn3.4.5.14

Geometry Unit 10 Note Sheets 2018TheoremGuided PracticeFind the value of x. Assume that segments that appear to be tangent are tangent.6.Your TurnFind the value of x. Assume that segments that appear to be tangent are tangent.7.Circumscribed PolygonsGuided Practice8.Your Turn9. Find x.10. Find the perimeter of 𝐽𝐿𝐾.15

Geometry Unit 10 Note Sheets 2018Secants, Tangents, and Angle Measures NotesVocabularySecantTheoremGuided PracticeFind x.1.2.3.Your Turn4.5.6.16

Geometry Unit 10 Note Sheets 2018TheoremGuided PracticeFind each measure.7. 𝑚 𝑄𝑃𝑅8.Your Turn9. 𝑚 𝑄𝑃𝑆10.17

Geometry Unit 10 Note Sheets 2018TheoremTwo SecantsSecant-TangentTwo TangentsGuided PracticeFind each measure.1. 𝑚 𝐿2.3.18

Geometry Unit 10 Note Sheets 2018Your Turn1.2.Circle and Angle Relationship Reviewon the circleinside the circleoutside the circle19

Geometry Unit 10 Note Sheets 2018Constructing Circumscribed and Inscribed Figures NotesVocabularyCircumscribedReview:Construct a perpendicular bisector of the line.To construct a circumcircle (or to circumscribe the triangle) of a triangle you will have to find the center of thecircle.The circumcircle will need to pass through points P, Q and R. So the center of the circle must be equidistant fromall three points. To find this we will construct from two of the sidesOnce the center is found you can put your compass on the center (point C) and measure out to any of the points P,Q or R to find the distance and then draw the circle.20

Geometry Unit 10 Note Sheets 2018VocabularyInscribedReview:Construct the angle bisector.To inscribe a circle in a figure we have to find a point equidistant from each side and will have to use a differentmethod.The inscribed circle must be equidistant from each side of the triangle. To find these points we will constructof two of the angles.Now that you have what will become the center of the circle you can put the tip of your compass on the centerpoint C and then the pencil on the a side where the angle bisector goes through the opposite side of the triangle.21

Geometry Unit 10 Note Sheets 201811.3 Area of Sectors of Circles Notes SheetReminder – Formula for Area of a circle:Area of a SectorGuided PracticeFind the area of each shaded section. Round to the nearest tenth, if necessary.1.2.Your Turn3.22

Geometry Unit 10 Note Sheets 2018Guided Practice4.Your Turn5.Guided Practice6. A circular pizza has a diameter of 12 inches and is cut into 8 congruent slices. What is the area of oneslice to the nearest hundredth?Your Turn7. A pie has a diameter of 9 inches and is cut into 10 congruent slices. What is the area of one slice to thenearest hundredth?23

Geometry Unit 10 Note Sheets 2018 1 Date Name of Lesson 10.1 Circles and Circumference 10.2 Measuring Angles and Arcs Part 1 10.2 Measuring Angles and Arcs Part 2 10.3 Arcs and Chords Quiz 1 10.4 Inscribed Angles 10