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Geometry CHAPTER 1 REVIEW NAME _______________________ For each problem, sketch a figure, write an equation, find the value of the variable and find what is being asked. 1. Figure R is in the interior of PQS . mPQS 6 x , mPQR 3x 2 mSQR 22 , find mPQS x=_______ Equation______________________ mPQS ______ 2. VX is the bisector of WVY . mWVX 12x 4 , mXVY 13x 9 find mWVY x=_______ Figure Equation______________________ mWVY ______ 3. ABD and DBC form a linear pair. mABD 10x 1 and mDBC 9x 11 find mABD x=_______ Figure Equation______________________ mABD ______ 4. Figure Point E is between G and H. GE x 2 , EH 2x 6 and GH 20 , find GE x=_______ Equation______________________ GE ______ The measure of an angle is 52 . What is the ______5. measure of its complement? ______6. measure of its supplement? For each figure, write the equation, find the value of x, and answer the question. 7. Point M is the midpoint of PQ x=_______ Equation__________________ PQ ______ 8. Find mABC x=_______ Equation__________________ mABC _____ Find the length of the segment and find the midpoint. ______9. Find AE Find the midpoint of GH given G 1,3 and H 5, 3 ______10. The coordinates of the midpoint of GH Find the endpoint B given A(-6, -3) and the midpoint (4, 2) _____ 11. The coordinates of endpoint B 11. Use the diagram and tell whether the angles are vertical angles, complementary angles, supplementary angles, a linear pair, or neither. ________________ BOC and COD B ________________ AOE and DOE ________________ COD and AOE ________________ COD and AOB C O A E 12. Classify the angle as acute, obtuse, right, or straight. ______________ BOC ______________ AOD ______________ BOD ______________ DOE D 13. In the diagram, points A, B, C, and D are collinear, points C, X, Y, and Z are collinear, AB BC CX YZ , C is the midpoint of AD , AD 64 , and XZ 40 . Find the indicated length. ______ AB ______ BD ______ CY ______ CD ______ XY ______ CZ Solve for the angles indicated. 14. mNPQ = __?__ 15. Given mEHG = 77, find mFHG. Solve for the x and y. 16. 17. *Make sure to know the vocabulary adjacent, bisect, midpoint, linear pair, supplementary, complementary, and vertical angles!