SHELBY COUNTY SCHOOLS: GEOMETRY PRETEST AUGUST 2015 SEMESTER 1 Created to be taken with the ACT Quality Core Reference Sheet: Geometry.
1. The intersection of plane L and plane M is AB. Point P is in neither plane L nor plane M. Given this information, which statement must be true? A. ABP lies on plane L. B. Line AB is perpendicular to both plane L and plane M. C. There exists a plane which contains AB and point P. D. Not enough information is given to answer this question. 2. In the figure, which angle has a measure of 70? T U V A. SMV B. TMV C. SMU D. SMT Q S 40 30 20 60 M R 3. Which of the following shows that PQR is a translation of BCA by the vector <0, 12>? A. C. B. D. 1 P a g e
4. Choose the correct transformation of ABC with A(5, 5), B(1, 3), C(2, 1) to A B C with A (5, 5), B (1, 3), and C (2, 1). A. Reflection of the line y = x. B. Reflection over the x-axis. C. Rotation clockwise about the origin. D. Rotation counterclockwise about the point (1, 1). 5. DEF, the image of ABC after a rotation of 90 clockwise, is shown below. Based on this figure, which statement is true? A. BC DE B. AB DF C. C E D. A D 6. Choose the correct transformation of ABC to A B C? A. Reflection across y-axis B. Rotation 90 degrees clockwise C. Reflection across x-axis D. Translation to the right 7 7. Determine the scale factor for the dilation. Determine whether the dilation is an enlargement, reduction or isometry dilation. A. 2; enlargement B. 2; reduction C. 1/2; enlargement D. 1/2; reduction 2 P a g e
8. LMN is isosceles with LM and NM congruent, MOP is isosceles with MO and MP congruent, and OL and NP are congruent. Which triangles listed, if any, are congruent? M A. There are no congruent triangles. B. MLN and MOP C. MLO and MNP D. There is not enough information given to answer the question. L O P N 9. Which of the following is true for two congruent triangles XYZ and DEF? A. ZX FE B. ZYX FDE C. XY EF D. Y E 10. Even if we know that all three corresponding angles in two triangles are congruent (AAA), we are not able to prove congruence between the two triangles. Why not? A. Only one of the three sides can be congruent between the two triangles. B. Only the longest sides of the triangles can be congruent. C. The triangles could have the same shape but not the same size. D. The triangles could have the same size but not the same shape. 11. Given XY LM, XZ LN, and Y M, can you prove XYZ LMN? A. Yes, by SSS. B. Yes, by SAS. C. Yes, by HL. D. The triangles cannot be proven congruent. 12. In this figure, what definition supports the following statement: m 1 + m 2 = 180? A. Definition of adjacent angles B. Definition of complementary angles C. Definition of supplementary angles D. Definition of vertical angles 1 2 3 P a g e
13. What is the supplement of the complement of 65? A. 25 B. 65 C. 115 D. 155 14. Given ABC is isosceles with AB and AC congruent, find the m ABC. A. 30 B. 70 C. 75 D. 150 B A 30 C 15. Which of the following is NOT true about all right triangles? A. The acute angles of a right triangle are complementary. B. There can be at most one right angle in any triangle. C. None of the angles can be obtuse. D. The length of the hypotenuse is longer than the sum of the lengths of the other two sides. 16. Use the figure to find the value of x if VS is a perpendicular bisector of UR, SU = 3x + 2, and SR = x + 8. A. 5 2 B. 3 C. 5 D. 20 U V T S W R 17. What is the slope of a line perpendicular to the line represented by the graph? A. 3 B. 1 3 C. 1 3 D. 3 4 P a g e
18. Line r has a slope of 0.3 and line s is perpendicular to line r. Which of these equations could be the equation of line s? A. y = 0.3x 2 B. y = 0.3x + 2 C. y = 10 3 x 0.5 D. y = 10 3 x + 0.5 19. Mr. Smith s garden is broken up into squares that measure 3ft. x 3ft. The entire garden is 30ft. x 90ft. He has hired a company to come water his garden. They gave him a quote of $0.20 per garden square. How much will it cost to water the entire garden? A. $18 B. $60 C. $180 D. $540 20. Name the geometric shape that has 6 faces and 6 vertices. A. Hexagonal Prism B. Hexagonal Pyramid C. Pentagonal Prism D. Pentagonal Pyramid 21. Two sides of a triangular enclosure must have lengths of 21 ft. and 33 ft. In an effort to minimize cost of building the enclosure, the shortest possible length of the third side of the fence is needed. What value could be the length of the shortest side of the fence? A. 11 ft. B. 12 ft. C. 13 ft. D. 14 ft. 5 P a g e