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Name_____________________________________ Period_______ Date __________ GEOMETRY UNIT 5 TEST Review 1. Draw isosceles triangle ABC. Label the vertex angle B and the base angles A and C. Draw the perpendicular bisector of segment AC and label it segment BD. The length of segment AD is (4x + 10) and the length of segment AC is (10x – 18). What is the length of segment AD? Round your answer to the nearest tenth. 2. Sketch scalene triangle BIG. Draw and label all the altitudes. Sketch equilateral triangle RAJ. Sketch the medians for all sides. What is the point of concurrency called? 3. Sketch an acute, obtuse, equiangular, and right triangle. Draw all angle bisectors for each triangle. 4. Draw obtuse triangle BHS. Sketch the perpendicular bisectors of all three sides of the triangle. 5. Define equidistant: 6. Right triangle FGH has midsegments of 20, 48 and 52 centimeters. What is the area of FGH ? F 20 52 48 H G 7. In disc golf, a player tries to throw a disc into a metal basket target. Four disc golf targets on a course are shown in the diagram. Which two targets are closest together? 1 2 60 47 4 69 3 Define the following terms 8. altitude of a triangle 9. median of a triangle 10. indirect proof 11. midsegment of a triangle 12. centroid of a triangle 13. The vertices of JLK are J (-18, 4), K(20,2) and L(10,12). CD is the midsegment parallel to JK . What is the length of CD ? Round to the nearest tenth. y 10 x -10 -10 10 14. In QSR , QR 14 , RS 16 and SQ 10 . What is the perimeter of the midsegment triangle of QSR ? Q 10 14 R S 16 15. Write the angles of DEF in order from largest to smallest. D 16 5 5 F 4.2 E 16. Write the sides of TUV in order from largest to smallest. V 105 U 52 _____________________________ 23 T Tell whether or not a triangle can have sides with the given lengths. If not, explain why. 17. 16, 16, 32 18. 22, 8, 28 19. State which two statements contradict each other. A. PQR is an obtuse triangle B. P is an acute angle C. Q is an right angle 20. Compare the given measures using an inequality. m M _____ m K M 2 2 5.5 L K 5.5 J N 21. If the measure of angle LJK is 30, what is the measure of angle KLJ? M J L K