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Geometry Name _________________________________________ MIDTERM EXAM REVIEW – UNIT 5 RELATIONSHIPS IN Period __________ TRIANGLES Important Note: This study guide is a just a sample of the concepts and applications covered in the unit. You are responsible for all of the material covered in class notes, homework, activities, reviews, and quizzes. Be sure to review all resources that are available to you including the online vocabulary and reviews from your textbook. I. Write ALWAYS, SOMETIMES, or NEVER to complete each statement. 1) The side opposite an 80 is ____________________ longer than the side opposite a 50 angle. 2) The third side of a triangle is ____________________ equal to the sum of the other two sides. II. 1) Write the correct answer for each question on the line provided. Which of the following could not be the measure of the third side of a triangle that has two sides that measure 27 and 43 units? A) 2) B) 31 C) 44 D) 76 In LUV, LU = 16, UV = 11, and LV = 7. The largest angle is A) III. 1) 26 L B) U C) V _______ _______ D) E Complete the following questions. Write your answers on the lines provided. Is it possible for a triangle to have sides with the following lengths? Write Yes or No on the line provided. a) 6, 13, 19 KD/MPH/KAL/CR 12/14 __________ b) 25, 8, 21 __________ 1 Geometry 2) If two sides of a triangle measure 39 and 24 units, then the measure of the third side is between __________ and __________ units. 3) The angles in RED are mR = 48 and D = 65. List the sides in order from shortest to longest. 4) SUN has a perimeter of 54 units and SU = 3x + 5, UN = 4x - 10, and SN = 3x - 1. Find x and list the angles in order from least to greatest. 5) x = ____________ ______________ R Using the figure shown, answer the following questions. a) Name the longest segment in ROS. __________ b) Name the shortest segment in RES. __________ c) IV. ______________ Name the shortest segment in the figure. __________ 42° E 55° 51° 56° S Find the missing measures for each of the following triangles. 1) 2) 3 10 6 KD/MPH/KAL/CR 12/14 2 O Geometry V. Given that a triangle has the given side lengths, classify the triangle as acute, obtuse, or right. 1) 12, 19, 14 2) 8, 7, 2 5 3) 9, 40, 41 4) 8, 12, 20 VI. GEO has vertices G (-2, 1), E (1, 5), and O (5, 2). Classify the triangle by its sides and angles. KD/MPH/KAL/CR 12/14 3