Page 1 of 8 Name: 1. Write in symbolic form the inverse of ~p q. 1. ~q p 2. q ~ p 3. p q 4. p ~ q 2. In symbolic form, write the contrapositive of p ~q. 1. q ~ p 2. ~p ~q 3. ~p q 4. ~q p 3. Figure 1 In the diagram:,, and, A E, and C is the midpoint of. Which theorem justifies ΔABC ΔEDC? 1. SSS SSS 3. ASA ASA 2. SAS SAS 4. SSA SSA 4. Which condition does not prove that two triangles are congruent? 1. SSS SSS 3. SAS SAS 2. SSA SSA 4. ASA ASA

Page 2 of 8 5. What is the converse of the statement If the Sun rises in the east, then it sets in the west? 1. If the Sun does not set in the west, then it does not rise in the east. 2. If the Sun does not rise in the east, then it does not set in the west. 3. If the Sun sets in the west, then it rises in the east. 4. If the Sun rises in the west, then it sets in the east. 6. Point Z is the centroid of triangle ABC, CA = 20, AD = 12 and BE = 9. What is the perimeter of triangle AZE? Perimeter of triangle AZE = 7. Which of the four centers always remains on or inside a triangle? 1. incenter, only 3. orthocenter and incenter 2. incenter and centroid 4. circumcenter, only 8. Which type of triangle would have its orthocenter outside the triangle? 1. right 3. scalene 2. obtuse 4. equilateral

Page 3 of 8 9. Which is the point of intersection of the medians of a triangle? 1. orthocenter 3. incenter 2. centroid 4. circumcenter 10. Which point is the intersection of the altitudes of a triangle? 1. orthocenter 3. incenter 2. centroid 4. circumcenter 11. Three or more lines that contain the same point are called: 1. parallel 3. current 2. perpendicular 4. concurrent 12. The incenter of a triangle can be located by finding the intersection of the: 1. altitudes 2. medians 3. perpendicular bisectors of the three sides 4. angle bisectors 13. The circumcenter of a triangle can be located by finding the intersection of the: 1. altitudes 2. medians 3. perpendicular bisectors of the three sides 4. angle bisectors

Page 4 of 8 14. Which type of triangle would have its orthocenter on the triangle? 1. right 3. scalene 2. obtuse 4. equilateral 15. Given that point S is the incenter of right triangle PQR and angle RQS is 30, what are the measures of angles RSQ and RPQ? mrsq = mrpq =

Page 5 of 8 16. If point R is the centroid of triangle ABC, what is the perimeter of triangle ABC given that segments CF, DB, and AE are equal to 2, 3 and 4 respectively? Perimeter of triangle ABC = 17. Given triangle ABC has vertices at (-5, 3), (1,1) and (-3,- 1), respectively, and points E, F and G are midpoints of their respective sides, find the centroid of the triangle. Round to the nearest hundredth. Centroid = (, )

Page 6 of 8 18. In the diagram of ΔABC and ΔDEF below,, A D, and B E. Which method can be used to prove ΔABC ΔDEF? 1. SSS 3. ASA 2. SAS 4. HL 19. In the accompanying diagram of triangles BAT and FLU, B F and. Which statement is needed to prove ΔBAT ΔFLU? 1. A L 2. 3. A U 4.

Page 7 of 8 20. In the diagram below of ΔTEM, medians,, and intersect at D, and TB = 9. Find the length of. Answer: TD = 21. In the diagram below, ΔABC ΔXYZ. Which two statements identify corresponding congruent parts for these triangles? 1. and C Y 2. and C X 3. and A Y 4. and A X

Page 8 of 8 22. In the diagram below of trapezoid RSUT,, X is the midpoint of, and V is the midpoint of. If RS = 30 and XV = 44, what is the length of? 1. 37 3. 74 2. 58 4. 118 23. How many integers values of x are there so that x, 5, and 8 could be the lengths of the sides of a triangle? 1. 6 3. 3 2. 9 4. 13 24. Which set of numbers could represent the lengths of the sides of a triangle? 1. {9, 16, 20} 2. {8, 11, 19} 3. {3, 4, 8} 4. {11, 5, 5} 25. In ΔABC, AB = 7, BC = 8, and AC = 9. Which list has the angles of ΔABC in order from smallest to largest? 1. A, B, C 2. B, A, C 3. C, B, A 4. C, A, B