Geometry Semester 1 Exam Released


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1 1. Use the diagram. 3. In the diagram, mlmn 54. L Which best describes the pair of angles 1 and 4? (A) complementary (B) linear pair (C) supplementary (D) vertical 2. Use the diagram. E F A B C D Which best describes the pair of angles DBA and ABE? (A) adjacent (B) linear pair (C) supplementary (D) vertical M (A) 27 (B) 22 (C) 16 (D) In the diagram, Y is between X and Z, and XZ 36 centimeters. X What is the length of XY? (A) 24 cm (B) 12 cm (C) 10 cm (D) 8 cm 2x 10 4b b + 6 Y 2x P N Z GO ON
2 5. What is the distance between points 3, 12 B 3, 4? A and (A) 14 (B) 28 (C) 10 (D) What are the coordinates of the midpoint A and of AB with endpoints 7, 2 B 5, 6? (A) 1, (B), 2 2 (C) 6, 2 (D) 12, 4 7. In the pattern, the sides of each square have a length of 1 unit. Figure 1 Figure 2 Figure 3 What is the perimeter of the 6 th figure? 8. The lawyer presented all the facts of the case in a logical order to the judge. What type of reasoning did the lawyer use? (A) conjecture (B) deductive (C) inductive (D) intuitive 9. The teacher said, If all the sides of a triangle are congruent, then it is an equilateral triangle. A student replied, If it is not an equilateral triangle, then all the sides are not congruent. What type of statement did the student use? (A) biconditional (B) contrapositive (C) converse (D) inverse 10. What is the inverse of this statement? If I am in my room, then I am happy. (A) I am in my room, if and only if I am happy. (B) If I am happy, then I am in my room. (C) If I am not happy, then I am not in my room. (D) If I am not in my room, then I am not happy. (A) 24 (B) 30 (C) 34 (D) GO ON
3 11. What is the converse of the statement? If Grandpa lives in California, then he lives in the United States. (A) If Grandpa lives in the United States, then he lives in California. (B) Grandpa lives in California, if and only if he lives in the United States. (C) If Grandpa does not live in California, then he does not live in the United States. (D) If Grandpa does not live in the United States, then he does not live in California. 12. Which is a counterexample to the statement? All planets have moons. (A) The planet Jupiter has many moons. (B) The planet Mars has two moons. (C) The planet Mercury has no moons. (D) The planet Saturn has many moons. 13. In the diagram, line m is a transversal Which best describes the angle pair 4 and 8? (A) supplementary (B) corresponding (C) alternate interior (D) alternate exterior 14. In the diagram, m n and t is a transversal. 2x m m t n (A) 10 (B) 30 (C) 60 (D) GO ON
4 15. In the diagram, m n and p q. m n x p 80 q 17. In order for lines m and n to be parallel, what statement must be true? r s m n (A) 40 (B) 80 (C) 100 (D) Use the diagram. (A) 1 and 8 are corresponding (B) 1 and 8 are complementary (C) 3 and 6 are congruent (D) 3 and 6 are supplementary 18. Which is a valid classification of a triangle? 40 4 y t (A) acute equilateral (B) obtuse equiangular (C) right acute m n (D) scalene isosceles What value of y would show that line m was parallel to line n? (A) 50 (B) 40 (C) 35 (D) GO ON
5 19. Use the quadrilateral. 21. Use the triangles. 6x 5x 5 7x (A) 5 (B) 15 (C) 20 (D) In the diagram, JKLMN RSTUV. J Which congruence postulate or theorem proves these two triangles are congruent? (A) angleangleside (AAS) (B) sideangleside (SAS) (C) sidesideangle (SSA) (D) sidesideside (SSS) N M K L S R T U V 22. In the diagram, NK LM and 1 2. K L N 1 2 M Which angle corresponds to M? (A) (B) (C) (D) R S T U Which congruence postulate or theorem would prove LMK NKM? (A) anglesideangle (ASA) (B) sideangleside (SAS) (C) sidesideangle (SSA) (D) sidesideside (SSS) GO ON
6 23. Given that JKL RST, JK 3z 21, KL 2z 25, LJ 21 3z, and ST 5z 31, what is the value of z? (A) 5 (B) 2 (C) 1 (D) The statements for a proof are given below. Given: NO PM NO PM Prove: OP MN O 24. Given that PQR XYZ, 7n5, m Q 3n 5 m P, and mz 30. What is the value of n? N P (A) (B) (C) 15 (D) 18 Proof: M STATEMENTS REASONS 1. NO PM, NO PM 1. Given 2. ONP MPN NP NP MPN ONP OP MN 5. What reason makes the statement in Step 4 true? (A) sideangleside (SAS) (B) sidesideside (SSS) (C) corresponding parts of congruent triangles are congruent (CPCTC) (D) anglesideangle (ASA) GO ON
7 26. The statements for a proof are given below. Given: I is the midpoint of GK K G Prove: GH KJ H I K 27. Given that DEF LMN, m F 4x 8 mm 5x7, and, D x 15, what is the value of x? (A) 1 (B) 2 (C) 6 (D) 15 G Proof: J 28. In triangle PQR, QP RP and mr63. P STATEMENTS REASONS 1. I is the midpoint of GK K G 1. Given 2. HIG JIK GI KI HIG JIK GH KJ 5. What is the reason for the 5 th statement? (A) definition of a midpoint (B) anglesideangle (ASA) (C) prove (D) corresponding parts of congruent triangles are congruent. (CPCTC) Q What is the measure of (A) 27 (B) 54 (C) 63 (D) 117 R P? GO ON
8 29. Three towns form a triangle on the map. 18 miles Alta Which value of x is NOT a possible distance between Alta and Washington? (A) 10 miles (B) 20 miles (C) 30 miles (D) 40 miles Jasper x 34 miles Washington 32. Which list of three lengths would form a triangle? (A) 4, 4, 7 (B) 4, 5, 10 (C) 5, 6, 12 (D) 6, 6, BE is a median of ABC. 8 A E 30. Given A 2, 5 and 4, 2 B. What is the distance from A to B? B 10 7 C (A) 13 (B) 45 (C) 53 (D) In ABC, AB = 6 centimeters, BC = 9 centimeters, and CA = 5 centimeters. Which list shows the angles in order from largest to smallest? What is the length of AC? (A) 6 (B) 8 (C) 10 (D) 14 (A) B, C, A (B) B, A, C (C) A, B, C (D) A, C, B GO ON
9 34. In EFG, HI, IJ, and JH are midsegments, GJ = 6 centimeters, and EI = 8 centimeters. H G 6 cm J 36. How many sides does a decagon have? (A) 6 (B) 8 (C) 10 (D) 12 E 8 cm I What is the length of EF? (A) 10 cm (B) 14 cm (C) 16 cm (D) 20 cm 35. Use the diagram. F 37. Which group of figures are all polygons? (A) (B) (C) (D) 38. What is the sum of the measures of the interior angles of this polygon? What is the name of the point of concurrency in this triangle? (A) centroid (B) circumcenter (C) incenter (D) orthocenter (A) 360 (B) 540 (C) 720 (D) GO ON
10 39. What is the sum of the exterior angles of a polygon? (A) 180 (B) 360 (C) 540 (D) The figure below is a rhombus. 5x + 45 (A) 2.5 (B) 10 (C) 15 (D) 30 7x Which statement is true? (A) All parallelograms have only one pair of parallel sides. (B) All parallelograms have complimentary consecutive angles. (C) All parallelograms have diagonals that bisect each other. (D) All parallelograms have four congruent sides. 43. Which statement is true about all isosceles trapezoids? (A) Both pairs of opposite sides are congruent. (B) Both pairs of opposite sides are parallel. (C) One pair of opposite sides is both parallel and congruent. (D) One pair of opposite sides is parallel, and the other pair is congruent. 41. What is the measure of each exterior angle of a regular decagon? (A) 36 (B) 45 (C) 135 (D) GO ON
11 44. In the diagram, BCA XZY. Which statement must be true? X Z Y B 46. A regular polygon has interior angles that measure 135. How many sides does this polygon have? (A) 4 (B) 6 (C) 8 (D) cm 8cm 47. Use the diagram. A (A) mx 40 C 93 x (B) XY 8cm (C) XZ 8cm (D) ZY 8cm 45. Figure GHIJ is a parallelogram. J (A) 10 (B) 40 (C) 60 (D) 80 G 2x 25 x 35 I H (A) 120 (B) 128 (C) 180 (D) GO ON
12 48. Given that FGH is an equilateral triangle, what is the measure of an acute angle of the triangle? (A) 45 (B) 60 (C) 90 (D) Using the table, what is the n th term of the sequence? n ? (A) n 4 (B) 3n 2 (C) 4n (D) 4n Austin went to track practice after school on Monday, Tuesday, and Wednesday. Using inductive reasoning, what conclusion can you make about his Thursday afterschool activity? (A) Austin will go home. (B) Austin will go to swim practice. (C) Austin will go to a meeting. (D) Austin will go to track practice GO ON
13 Geometry Semester 1 Exam Released Free Response 1. This question obsolete as of See new test specifications and practice questions. 2. This question obsolete as of See new test specifications and practice questions. 3. This question obsolete as of See new test specifications and practice questions GO ON
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