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# Download Ch 5 Review 2015-2016 (No Constructions)

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Transcript

Geometry Name: _________________ Chapter 5 Test Review 1. If the angle is bisected, how much is x? x 3 2. List the sides and the angles in order from least to greatest. F A 59 30 28 60 C B 29 61 D E Sides: ____________ Sides: ____________ Sides: ____________ Sides: ____________ Angles: ___________ Angles: ___________ Angles: ___________ Angles: ___________ Directions 3-5: Is it possible for a triangle to have sides with the lengths indicated? Write yes or no for each, and show work for your answer. 3. 5, 9, 15 4. 1, 19, 18.5 5. 10, 7, 3 Directions 6-7: The diagrams are not drawn to scale. If each diagram were drawn to scale, which segment shown would be the longest? 6. 7. A (Challenge problem, try your best) E D 70 59 61 60 56 C B 62 G F Directions 8-9: Use the properties of perpendicular bisectors and angle bisectors to solve for x. 8. 9. x = _____________ x = _____________ 10. The lengths of two sides of a triangle are 15 and 26. Write a range of values that the third side may be. 11. Write an inequality that expresses the possible lengths of the third side of a triangle that has sides measuring 2 yards, and 5 yards. 12. Write an inequality that expresses the possible lengths of the third side of a triangle that has sides measuring 120 cm and 51 cm. 13. Given a triangle with two sides measuring 5 inches and 10 inches, which of the following could not be a length of the third side of the triangle? a) 10 inches b) 4 inches c) 9 inches d) 14 inches 14. The lengths of the sides of an isosceles triangle measure 12 cm and 6 cm. What could be the length of the third side of the triangle? a) 6 cm b) 12 cm c) 18 cm d) 16 cm 15. Lines l, m, and n are intersected by transversal t. The measures of some of the angles that are formed are shown. Which of the following statements about l, m, and n must be true? a) b) c) d) l || m || n l || m only l || n only m || n only 16. What value of x makes lines l and n parallel? Justify your answer. 17. What is the midpoint between A(4, -1) and B(-3, 5). 18. Find the value of x to make the lines parallel 19. Write the equation of the line parallel to the line y = -5x +1 that passes through the point (-3, 8). 20. Write the equation of the line perpendicular to the line y = 4x -14 that passes through the point (-8, 1). 21. In the diagram, DEFG BCFG. Find the values of x and y. x: ____ y: ____ 22. Find mABC and mCBD 23. Solve for x and y. 24. The conditional statement “If it is Friday, then I have geometry” is represented by p q . What is the symbolic representation for “If I have geometry, then it is not Friday”? ________________ 25. What is the inverse, contrapositive, and converse of “ t ~ r ” ________________ 26. Write the converse, inverse, and contrapositive of the conditional statement: “If it is raining, then I am sad.” Converse: Inverse: __________________________________________________________________ ____________________________________________________________________ Contrapositive: ___________________________________________________________________ 27. Given the following true statements (1) and (2), what can you conclude? If you can not conclude anything write invalid. (1) All good tennis players are quick. (2) Martina is a good tennis player ______________________________________________________ 28. Given BC @ AC and E D , prove ACE BCD . Statement Reason 1. 1.Given 2. E D 2. 3. 3. Reflexive 4. 4.