AMSCO'S Geometry. New York - Rye High School

Inscribed Angles and Their Measures 557X 5 mST X 5 mTR X19. Triangle RST is inscribed in a circle and mRS. Find:a. mRS X b. mSTX c. mTRX d. mR e. mS f. mTApplying Skills20. In circle O, LM and RS intersect at P.a. Prove that LPR SPM.b. If LP 15 cm, RP 12 cm, and SP 10 cm, find MP.LORPMS21. Triangle ABC is inscribed in a circle. If mABX 100 and mBCX 130, prove that ABC isisosceles.22. Parallelogram ABCD is inscribed in a circle.XXa. Explain why mABC = mADC.Xb. Find mABC and mADC.Xc. Explain why parallelogram ABCD must be a rectangle.DAOCBGFDEBCOADBCOEADEx. 23 Ex. 24 Ex. 2523. Triangle DEF is inscribed in a circle and G is any point not on DEF. IfmDEX 1 mEF X 5 mFGD , show that DEF is a right triangle.24. In circle O, AOC and BOD are diameters. If AB > CD, prove that ABC DCB byASA.25. Chords AC and BD of circle O intersect at E. If ABX CDX , prove that ABC DCB.26. Prove that a trapezoid inscribed in a circle is isosceles.XXX27. Minor ABC and major ADC are arcs of circle O and AB CD. Prove thatCADX > BC X.28. Minor ABC X and major ADC X are arcs of circle O and ADX > BC X. ProveOBthat AB CD.29. In circle O, AOC and BOD are diameters. Prove that AB CD.D AX