CK-12 Geometry-Concepts

http://www.ck12.org Chapter 9. Circles Using your compass, draw a circle. Locate the center and draw a radius. Label the radius ...

9.2. Tangent Lines http://www.ck12.org Solution:BecauseCBis tangent,AB⊥CB, making 4 ABCa right triangle. We can use the Pythagor ...

http://www.ck12.org Chapter 9. Circles Example D Find the value ofx. BecauseAB⊥ADandDC⊥CB,ABandCBare tangent to the circle and a ...

9.2. Tangent Lines http://www.ck12.org Find the distance between the centers of the two circles. Reduce all radicals. IfDandCar ...

http://www.ck12.org Chapter 9. Circles 52 + 552 =AC^2 25 + 3025 =AC^2 3050 =AC^2 AC= √ 3050 = 5 √ 122 BecauseAEis tangent to bo ...

9.2. Tangent Lines http://www.ck12.org 3. Algebra ConnectionFind the value of the indicated length(s) in ⊙ C.AandBare points of ...

http://www.ck12.org Chapter 9. Circles 9. 10.AandBare points of tangency for ⊙ Cand ⊙ D, respectively. a. Is 4 AEC∼4BED? Why? b. ...

9.2. Tangent Lines http://www.ck12.org Circles tangent atTare centered atMandN.STis tangent to both circles atT. Find the radiu ...

http://www.ck12.org Chapter 9. Circles 9.3 Arcs in Circles Here you’ll learn the properties of arcs and central angles of circle ...

9.3. Arcs in Circles http://www.ck12.org IfDwas not on the circle, we would not be able to tell the difference betweenBĈandBDĈ ...

http://www.ck12.org Chapter 9. Circles mAB̂=m^6 ACB. So,mAB̂= 102 ◦. mADB̂= 360 ◦−mAB̂= 360 ◦− 102 ◦= 258 ◦ Example B Find the m ...

9.3. Arcs in Circles http://www.ck12.org a)mF ED̂=mF Ê+mED̂= 120 ◦+ 38 ◦= 158 ◦ b)mCDF̂=mCD̂+mDÊ+mEF̂= 90 ◦+ 38 ◦+ 120 ◦= 248 ...

http://www.ck12.org Chapter 9. Circles Are the blue arcs congruent? Explain why or why not. a) b) Find the value ofxfor ⊙ Cb ...

9.3. Arcs in Circles http://www.ck12.org b) The two arcs have the same measure, but are not congruent because the circles have d ...

http://www.ck12.org Chapter 9. Circles 10. 11. 12. Find the measure of the indicated arcs or central angles in ⊙ A.DGis a diamet ...

9.3. Arcs in Circles http://www.ck12.org 21. 22. 23. What can you conclude about ⊙ Aand ⊙ B? ...

http://www.ck12.org Chapter 9. Circles 9.4 Chords in Circles Here you’ll learn theorems about chords in circles and how to apply ...

9.4. Chords in Circles http://www.ck12.org In the second picture, we have 4 BAE∼= 4 CADbecause the central angles are congruent ...

http://www.ck12.org Chapter 9. Circles Chord Theorem #2:The perpendicular bisector of a chord is also a diameter. In the picture ...

9.4. Chords in Circles http://www.ck12.org Chord Theorem #4: In the same circle or congruent circles, two chords are congruent i ...