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Geometry H Mrs. Diaz NAME:_________________________ DATE:_________________________ UNIT 9 ASSIGNMENT #7 Inscribed angles and Point of Tangency OBJECTIVE: S.W.B.A.T. find inscribed angles and points of tangency Find the value of each variable. For each circle, the dot represents the center. 1 . 2. 3. 4. 5. 6. 7. 8. 9. Find the value of each variable. Lines that appear to be tangent are tangent. 10. 11. 12. Find each indicated measure for M. 13. a. mB b. mC c. d. Find the value of each variable. For each circle, the dot represents the center. 14. 15. 17. Given: Quadrilateral ABCD is inscribed in 16. Z. is tangent to Z. Prove: mXAD + mYAB = mC 18. Error Analysis A classmate says that mE = 90. Explain why this is incorrect. 19. A student inscribes quadrilateral ABCD inside a circle. The measures of angles A, B, and C are given below. Find the measure of each angle of quadrilateral ABCD. mA = 8x 4 mB = 5x + 4 mC = 7x + 4 20. Reasoning Quadrilateral WXYZ is inscribed in a circle. If W and Y are each inscribed in a semicircle, does this mean the quadrilateral is a rectangle? Explain. 21. Writing A student inscribes an angle inside a semicircle to form a triangle. The measures of the angles that are not the vertex of the inscribed angle are x and 2x 9. Find the measures of all three angles of the triangle. Explain how you got your answer.