http://www.ck12.org Chapter 9. Circles
a. Is 4 AEC∼4BED? Why?
b. FindBC.
c. FindAD.
d. Using the trigonometric ratios, findm^6 C. Round to the nearest tenth of a degree.- Fill in the blanks in the proof of Theorem 10-2.Given:ABandCBwith points of tangency atAandC.AD
andDCare radii.Prove:AB∼=CB
TABLE9.1:
Statement Reason
1.
2.AD∼=DC
3.DA⊥ABandDC⊥CB- Definition of perpendicular lines
- Connecting two existing points
- 4 ADBand 4 DCBare right triangles
7.DB∼=DB - 4 ABD∼= 4 CBD
9.AB∼=CB
29. From the above proof, we can also conclude (fill in the blanks):
a.ABCDis a __ (type of quadrilateral).
b. The line that connects the and the external pointB_____^6 ADCand^6 ABC.
30. PointsA,B,C, andDare all points of tangency for the three tangent circles.ExplainwhyAT∼=BT∼=CT∼=DT.