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3 Tri Geometry Name: _________________________________ Review for Final Exam Hour_________ 1. If ROS is a right angle and TOR is a straight angle, then angle TOS is what kind of angle? A. B. C. D. Obtuse Straight Right Acute S T O R 2. 1 and 2 are vertical angles. 1 and 3 are a linear pair. If m2 = 80, what is m3? A. 80 B. 100 C. 10 D. 180 ⃗⃗⃗⃗⃗⃗ bisects ABC and mABD = 50. What is mABC? 3. 𝑩𝑫 A. 25 B. 50 C. 100 D. 130 4. What kind of angles are shown in the picture below? l A. Alternate Exterior Angle m B. Alternate Interior Angles n C. Consecutive Interior Angle D. Corresponding Angles 5. In the figure, l n and r is a transversal. Which of the following is not necessarily true? r A. 8 2 B. 5 3 C. 7 4 D. 2 6 1 4 5 8 2 3 l 6 7 n 6. Using the figure below, determine which two lines are parallel and state how you know that is true. (Note, the picture is not drawn to scale.) A. m||a because the alternate interior angles are congruent. B. t||h because the consecutive interior angles are supplementary. C. m||a because the vertical angles are congruent. D. t||h because the corresponding angles are congruent. 7. Using the figure below, determine the m 2. A. 59o B. 90o C. 121o D. 180o 8. Find m 1 in the figure below. A. B. C. D. 180 720 900 1080 PQ P and are parallel. Q 72 R RS S 1 9. Which would be sufficient to prove that l n? r A. B. C. D. 1 6 2 7 m4 + m7 = 180 m3 + m6 = 180 1 4 5 8 2 3 l 6 7 n 10. Find the values of x and y. A. x = 78, y = 24 B. x = 78, y = 102 C. x = 102, y = 78 D. x = 24, y = 102 11. Refer to the figure at the right: Find mC . A. 15 B. 17 C. 100 D. 148 12. Find the value of x. A. 200 B. 300 C. 400 D. 500 13. What is the measure of each base angle of an isosceles triangle if its vertex angle measures 42 degrees and its 2 congruent sides measure 21 units? A. 42° 42° B. 138° 21in 21 in C. 48° D. 69° 14. What is the value of x in the picture to the right? A. B. C. D. 144.7 cm 17.3 cm 18 cm 20 cm x cm 17.3 cm 18 cm 15. Find the perimeter of the figure in #14. A. B. C. D. 53.3 cm 180 cm 52.6 cm 55.3 cm Find the m3 for each picture. 16. A. B. C. D. 40° 45° 50° 95° 18. What is the measure of x in the picture below? A. B. C. D. 8° 20° 60° 180° 17. A. B. C. D. 79° 39° 51° 56° 19. Which side lengths could possibly form a triangle? A. B. C. D. 1 inch, 2 inch, 3 inch 3 inch, 4 inch, 5 inch 2 inch, 3 inch, 6 inch 7 inch, 8 inch, 16 inch 20. What is the converse of “If it’s Thanksgiving, then the trimester is over”? A. B. C. D. The trimester is over and it is Thanksgiving. If it’s not Thanksgiving, then the trimester is not over. If the trimester isn’t over, then it’s not Thanksgiving. If the trimester is over, then it’s Thanksgiving. 21. What is the converse of the following statement: “If consecutive interior angles are supplementary, then the lines are parallel.”? A. B. C. D. The consecutive interior angles are supplementary when the lines are parallel. If the lines are not parallel, then the consecutive interior angles are not supplementary. If the lines are parallel, then the consecutive interior angles are supplementary. If the consecutive interior angles are not supplementary, then the lines are not parallel. 22. 23. A. B. C. D. 𝐶 ≅ 𝐹 ̅̅̅̅ 𝐶𝐵 ≅ ̅̅̅̅ 𝐹𝐸 ̅̅̅̅ 𝐴𝐵 ≅ ̅̅̅̅ 𝐷𝐸 ̅̅̅̅ ≅ 𝐹𝐷 ̅̅̅̅ 𝐶𝐴 A. B. C. D. 𝐶 ≅ 𝐹 ̅̅̅̅ ≅ ̅̅̅̅ 𝐶𝐵 𝐹𝐸 ̅̅̅̅ ≅ 𝐹𝐷 ̅̅̅̅ 𝐶𝐴 𝐴 ≅ 𝐷 24. What additional information would NOT prove that the triangles are congruent? A. B. C. D. ̅ ≅ 𝑁𝐿 ̅̅̅̅ 𝐽𝐿 ̅̅̅ 𝐾𝐽 ≅ ̅̅̅̅̅ 𝑀𝑁 K M J N