Student Name: Date: Teacher Name: Sunil Dudeja. Score:

Transcription

1 Geometry EOC (GSE) Quiz Equations and Measurement - (MGSE9 12.G.GPE.4) Use Coordinates For Theorems, (MGSE9 12.G.GPE.5 ) Prove Slope Criteria, (MGSE9 12.G.GPE.6) Find The Point, (MGSE9 12.G.GPE.7 ) Use Coordinates For Perimeter/area, (MGSE9-12.G.GMD.4) Identify Shapes, (MGSE9-12.G.MG.1) Describe Objects, (MGSE9-12.G.MG.2) Density Concepts, (MGSE9-12.G.MG.3) Geometric Methods 1) Student Name: Teacher Name: Sunil Dudeja Date: Score: Each unit on the grid stands for one mile. Determine two ways to calculate the distance from Josie's house to Annie's house. A) Distance Formula and Slope Formula B) Midpoint Formula and Slope Formula C) Distance Formula and Midpoint Formula D) Distance Formula and Pythagorean Theorem 2) On a coordinate grid, the movie theater is located at (0,0) and the mall is located at (4,3). If the bowling alley is located at the midpoint between the theater and the mall, what is the approximate distance from the bowling alley to the mall? (Note: 1 unit equals 1 mile) A) 1.3 miles B) 1.5 miles C) 2 miles D) 2.5 miles 3) 1/11

2 Two points are shown on the graph. What is the distance between the two points? A) 6 units B) 8 units C) 10 units D) 12 units 4) y = 2x + 3 y = 2x - 5 What is the BEST description for the lines represented by the equations? A) skew B) parallel C) vertical. D) intersecting 2/11

3 5) Line A: y = 1 2 x + 2 Line B: y = 1 2 x + 7 Line C: y = 2x + 4 Line D: y = 1 2 x Which lines are perpendicular? A) A and B B) A and C C) B and C D) A and D 6) What is the best description for the lines? A) parallel B) vertical C) perpendicular D) the same line Equation 1: x - 3y = 9 Equation 2: y = -3x + 3 7) Find the point, M, that is five-sixths of the distance from A(-7, 2) to B(-1, -4). A) (-1, -3) B) (-2, -3) C) (-1, -4) D) (-2, -4) 8) Find the point, M, that divides segment AB into a ratio of 5:5 if A is at (0, 15) and B is at (20, 0). A) (35, 10) B) (20, 10) C) (10, 7.5) D) (17.5, 5) 9) Find the point, M, that divides segment AB into a ratio of 3:1 if A is at (-4, -2) and B is at (4, -10). A) (8, 2) B) (4, -2) C) (-2, 4) D) (2, -8) 3/11

4 10) What is your location on the coordinate plane if you walked one-third of the way from home to school in a straight line? A) (3, 11 2 ) B) (3, 11 3 ) C) ( 9 2, 11 3 ) D) ( 9 2, 11 2 ) 11) On the coordinate grid of a map, Josie's house is located at (2,7). Her school is located at (-5,5). If each map unit equals one mile, what is the approximate distance from her house to school? A) 2.83 miles B) 4.79 miles C) 7.28 miles D) miles 12) 4/11

5 What is the area of the rectangle shown in the graph? A) -28 units 2 B) -3 units 2 C) 30 units 2 D) 54 units 2 13) The drawing represents A) the intersection of a plane and a cone. B) the intersection of a plane and a prism. C) the intersection of a plane and a sphere. D) the intersection of a plane and a cylinder. 5/11

6 14) A plane intersects a rectangular prism as shown. Describe the cross-section. A) circle B) rectangle C) trapezoid D) triangle 15) If this triangle is translated backwards through space, what three-dimensional figure will be formed? A) Square pyramid. B) Triangular prism. C) Rectangular prism. D) Triangular pyramid. 16) The batteries in the diagram best resembles what geometric solid? A) cone B) cylinder C) pyramid D) sphere 17) 6/11

7 The vertices on the snowflake pictured form what kind of geometric figure? A) decagon B) hexagon C) pentagon D) triangles 18) Which triangle is a regular polygon? A) All triangles B) An equiangular triangle C) triangle D) triangle 19) At Macon County High School, a classroom is 400 ft 2. After the teacher sets up her desk, computer, and podium, there are 250 ft 2 left for student desks. If each desk takes up 8 ft 2 of room, how many desks can fit in the classroom? A) about 19 B) about 25 C) about 31 D) about /11

8 20) Given an 8 foot length of tree trunk with a radius of 3 feet, what is the volume of the tree trunk section? (to the nearest whole ft 3 ) A) 75 ft 3 B) 151 ft 3 C) 226 ft 3 D) 452 ft 3 21) Alex determines that there are 5 chocolate candies per cubic inch. If there are 150 chocolate candies in a jar, what is the volume of the jar? A) 30 in 3 B) 75 in 3 C) 500 in 3 D) 750 in 3 22) Given that the population density of Georgia is 170 people per square mile and 10,100,000 people live in Georgia, what is the area of the state? (to the nearest hundred mi 2 ) A) 50,000 mi 2 B) 50,500 mi 2 C) 58,800 mi 2 D) 59,400 mi 2 23) A jewelry designer is working with a design that is a regular hexagon inscribed in a circle. He needs to cut a diamond to fit into each of the triangles shown. What is the measure of the indicated angle? A) 30 B) 45 C) 60 D) ) 8/11

9 A plane is to be loaded with bottles of water and medical supplies to be sent to victims of an earthquake. Each bottle of water serves 10 people and each medical kit aids six people. The goal is to maximize z, the total number of people helped, where z = 10x + 6y, and x is the number of bottles and y is the number of medical kits. Using the constraints of the situation (plane weight and volume capacities) the shaded region is in the graph is obtained. Which vertex of the region represents the solution to the maximization problem? A) (0, 6000) B) (4000, 0) C) (2000, 4000) D) (6000, 8000) 9/11

10 25) An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. The box needs to have the MAXIMUM volume possible. How long should the cuts be? A) 1.5 in. B) 5.8 in. C) 52 in. D) 80 in. 26) A steel plant has two sources of ore, source A and source B. In order to keep the plant running, at least three tons of ore must be processed each day. Ore from source A costs $20 per ton to process, and ore from source B costs $10 per ton to process. Costs must be kept to no more than $80 per day. Moreover, Federal Regulations require that the amount of ore from source B cannot exceed twice the amount of ore from source A. If ore from source A yields 300 lbs of steel per ton, and ore from source B yields 400 lbs of steel per ton, how many tons of ore from each source should be processed each day to maximize the amount of steel produced? A) 1 ton from source A, 2 tons from source B B) 2 tons from source A, 4 tons from source B C) 3 tons from source A, 0 tons from source B D) 4 tons from source A, 0 tons from source B 27) 10/11

11 An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box? A) 1.5 in 3 B) 5.8 in 3 C) 52 in 3 D) 64 in 3 28) Farmer John needs to build a new watering trough for his horses. He has laid out a diagram on grid paper so he knows how much material to buy. If each unit mark represents 1 foot, what is the total square footage of material he needs to buy? A) 2 ft 2 B) 8 ft 2 C) 12 ft 2 D) 16 ft /11