MATH-8 LPMS Measurement and Geometry Exam not valid for Paper Pencil Test Sessions

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1 MATH-8 LPMS Measurement and Geometry Exam not valid for Paper Pencil Test Sessions [Exam ID:BR7HTL 1 The angle relationship between DEC and BEC is A supplementary angles B complementary angles C congruent angles D vertical angles

2 2 In each of the following figures, transversal c cuts lines a and b. In which figure are 1 and 2 corresponding angles? A B C D 3 In this figure, two rays intersect at point X. The measure of AXB is 32. The figure is not necessarily drawn to scale. What is the measure of BXD? A 148 B 58 C 90 D 122

3 4 A new roller skating rink was just built in Charlottesville. The owner is putting a hand rail around the perimeter of the rink. Approximately how many meters of railing is needed? A 144 meters B 240 meters C 255 meters D 288 meters 5 If CE intersects DF at X, which angle must be congruent to CXD? A FXD B DXE C CXF D FXE

4 6 A figure was rotated 180 clockwise about the origin. Which is most likely the new figure? A C B D 7 The hypotenuse of a right triangle is 16 cm and one leg is 6 cm. What is an approximate length of the second leg? A 15 cm B 13 cm C 10 cm D 17 cm

5 8 A 25 foot ladder leans against a house. How far is the foot of the ladder from the base of the building if the top of the ladder is 20 feet from the ground? A 18 ft B 15 ft C 10 ft D 20 ft 9 Which correctly names the hypotenuse of the triangle pictured? A APZ B PZ C AP D PZA

6 10 Click on a box to choose each angle you want to select. You must select all correct angles. Look at the angles. Identify each angle that is adjacent to Angle 2. Angle 1 Angle 3 Angle 4 Angle 5 11 What are the measures of two complementary angles if the difference of their measures is 18? A 36, 54 B 81, 99 C 86, 94 D 41, In the figure, if has a measure of 37 o, what is the measure of? o

7 13 Which pair of angles is supplementary? A B C D 14 Which of the triangles described in the table is a right triangle? A Triangle Q B Triangle R C Triangle S D Triangle T

8 15 This solid figure is constructed with seven cubes. Which shape represents the top view of this three-dimensional solid? A B C D 16 Which pair of angles are NOT adjacent? A Angles 7 and 8 B Angles 5 and 6 C Angles 3 and 4 D Angles 1 and 2

9 17 A figure has the bottom and left-side views shown, and its front view is shaded. Which represents the figure? A C B D 18 In the figure shown, m 1 = (4x + 12) and m 2 = (6x + 8). What is m 1? A 50 B 20 C 76 D 40

10 19 Mrs. Johnson would like to carpet two rooms in her home. How much carpet will she need? A 236 m 2 B 180 m 2 C 204 m 2 D 148 m 2 20 What is the volume of the cylinder below? A cm 3 B 2, cm 3 C cm 3 D 8, cm 3

11 21 Reflect the figures across the y -axis. Which is most likely the new figure? A C B D 22 Tonya leaves home on her motorcycle and travels 12 miles east and 7 miles north. How far is Tonya from her original starting point? A 193 miles B 9.8 miles C 13.9 miles D 19 miles

12 23 The volume of A Prism B is 20 times the volume of Prism A B Prism A is equal to the volume of Prism B C Prism B is 10 times the volume of Prism A D Prism A is half the volume of Prism B 24 Which is closest to the surface area of a cone with dimensions as shown? A 207 mm 2 B 75 mm 2 C 113 mm 2 D 66 mm 2

13 25 What is the surface area of the rectangular prism shown? A 40 cm 2 B 158 cm 2 C 120 cm 2 D 79 cm 2 26 This Pyramid of Giza has a square base with an area of 12,000 square feet. The area of one of its triangular sides is 7,000 square feet. What is the total surface area of this pyramid? A 19,000 square feet B 40,000 square feet C 38,024 square feet D 30,000 square feet

14 27 Raymond needs to cover the entire surface of this square-based pyramid with paper. What is the minimum amount of paper he will need? A 276 sq ft B 408 sq ft C 528 sq ft D 672 sq ft 28 Directions: Type your answer in the box. What type of transformation occurred to map polygon PQRS to polygon P'Q'R'S' in the graph? 29 The original polygon, before it gets transformed, is called the. A transference B negative image C preimage D positive image

15 30 If all measurements of the right prisms and cylinders are in inches, which container has the greatest volume? A C B D 31 Rectangular prism A has a length of 200 centimeters, a width of 120 centimeters, and a height of 80 centimeters. Rectangular prism B is 10 times smaller in volume. If only one dimension is different from rectangular prism A, which of the following could NOT be the surface area of prism B? A 53,120 sq cm B 20,480 sq cm C 38,720 sq cm D 27,200 sq cm 32 The legs of a right triangle measure 9 inches and 12 inches. What is the length of the hypotenuse of this triangle? A 3 in. B 15 in. C 21 in. D 8 in.