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Name_______________________ Date__________________ Period_________________ Chapter 4 Test Practice Part 1: Free Response 1. Classify each triangle by its side and its angles. a. b. c. 80 60 50 60 50 60 ________________ ________________ __________________ ___________________ 2. Solve for x: 3. Solve for x: x 52 _______________ ________________ 40 35 4. Solve for x: x 25 5. Solve for x: x 80 42 100 (3x -22) 7. If ABC DEF then AB _____________ 6. Solve for x: 2x x x (x +20) 8. If ABC DEF then C _____________ 9. Which postulate or theorem can be used to prove the following triangles are congruent? 10. Which postulate or theorem can be used to prove the following triangles are congruent? 11. Which postulate or theorem can be used to prove the following triangles are congruent? G K 57 H 33 J 12. Which postulate or theorem can be used to prove the following triangles are congruent? 13. Determine what information you would need to know in order to use the SSS Congruence Postulate to show that the triangles are congruent. 14. Determine what information you would need to know in order to use the SAS Congruence Postulate to show that the triangles are congruent. 15. Can ΔRSV ≅ ΔTSV by HL? If so, find the missing information you would need in order to show congruence. 16. Given that ∆ABC is isosceles with AC BC , solve for x. 4 x+ 4 A B 7 x +8 8 x+ 3 C Part 2: Multiple Choice 17. Two sides of an equilateral triangle measure units and units. If the perimeter of the triangle is 33 units, what is the value of y? a. y = 11 b. y = 15 c. y = 4 d. y = 7 18. One of the acute angles in a right triangle has a measure of 34.6 . What is the measure of the other acute angle? a. 145.4° b. 34.6° c. 55.4° 19. What additional information do you need to prove d. 90° by the SAS Postulate? C B D A a. b. c. d. 20. Find mQ. P R a. m | | xº (2x + 15)º = 30 º Q b. m = 60 º c. m = 70 º d. m = 75 º Part 3: Review 21. Find the complement and supplement of 38°. 22. Find the midpoint H (7,2) and K (-5,10) 23. State the slope and the y-intercept of 3 x 2 y 12 24. Using the figure to the right, name each of the following: a. a segment parallel to GH _______ b. a segment skew to AD ________ c. a segment perpendicular to GF ______ d. the intersection of plane ABC and plane DHI ______ B C A D G F H I 25. Using the diagram, identify a pair of corresponding angles, alternate interior angles, alternate exterior angles, vertical angles and a linear pair 1 8 2 7 3 6 4 5 BONUS Write the equation of the line that is parallel to y 2 x 5 but passes through (4,-1) Write the equation of the line that is perpendicular to y 2 x 5 but passes through (4,-1)