Form A. Choose the correct answer to each question and mark it on the Google form. You may use a calculator. You may write on this test.

Transcription

1 Form hoose the correct answer to each question and mark it on the Google form. You may use a calculator. You may write on this test. 1. Select the geometric figure that possesses all of the following characteristics: i. Four equal sides ii. oth pairs of opposite sides are parallel iii. oes not contain a right angle ) isosceles triangle ) square ) parallelogram ) rhombus 2. Which of the following statements is false? ) square is a rectangle. ) rhombus is a parallelogram. ) quadrilateral is a polygon with four equal sides. ) rectangle is a parallelogram. 3. In rhombus, = 10 and = 15. Find to the nearest tenth. ) 13.2 ) 22.4 ) 24.5 ) Find the area of the shaded triangle. ) 9.72 cm 2 ) cm 2 ) cm 2 ) cm cm cm 3.6cm 2.8cm 5. Find the area. ) 325 in 2 ) 650 in 2 ) 275 in 2 ) 550 in 2 11 in 24 in 13 in 26 in Page 1

2 6. rectangular piece of fabric measures 42 in. by 44 in. triangular scarf with a height of 31 in. and a base of 30 in. is cut from the fabric. How much is left over? ) 459 in 2 ) 918 in 2 ) 1383 in 2 ) 2766 in 2 7. Find the surface area of a rectangular cuboid that is 14 inches long, 8 inches wide, and 5 inches high. ) 444 in 2 ) 560 in 2 ) 544 in 2 ) 344 in 2 8. Find the volume of the triangular prism. ) 260 m 3 ) 210 m 3 ) 420 m 3 ) 257 m 3 6.5m 6m 8m 10m 7m 9. point P has coordinates ( 2, 8). What are its new coordinates after point P is reflected over the -ais? ) ( 2, 8) ) (2, 8) ) (2, 8) ) ( 2, 8) 10. What is the image of ( 7, 4) after the translation 1, 2? ) ( 6, 6) ) ( 8, 6) ) ( 8, 2) ) ( 6, 2) 11. Which statement is true for the pictured triangles? E ) = ) m = m y ) m = m z ) None of these statements y E z Page 2

3 12. and. Find the value of so that QRST is isosceles. R >> S Q >> T ) = 2.8 ) = 2 ) = 0.8 ) = Suppose that the orthocenter lies outside of a triangle. What points of concurrency are inside the triangle? 1. incenter 2. circumcenter 3. centroid : 1 and 2 only : 2 and 3 only : 1 and 3 only : 1, 2, and In the figure shown, E, = 7 yards, = 8 yards, E = 44 yards, and E = 32 yards. Find E. ) 21 yd ) 11 yd ) 33 yd ) 28 yd E 15. If a point is selected at random, what is the probability that it will lie within the shaded rectangular region rather than the unshaded rectangular region? 11 ) 2 1 ) ) 55 ) Page 3

4 16. n rchitect wants to know the approimate height of a tower. She stands so that her eye line makes a right angle when looking at the top and the bottom of the building. If the architect is 54 ft from the base of the building and her eyes are at a height of 5 ft, then what is the height of the building? ) 270 ft ) 54.2 ft ) ft ) ft 17. The shorter leg of a 30 o 60 o 90 o triangle is 7.3 feet long. Find the perimeter in feet. ) ( ) ft ) ( ) ft ) ( ) ft ) ( ) ft 18. Find and y ) = 5 6, y = 10 3 ) = 15, y = 15 2 ) = 15, y = 15 3 ) = 5 3, y = y photographer shines a camera light at a particular painting forming an angle of 41 o with the camera platform. If the light shines 55 feet to where the bottom of painting hangs, how high above the platform is the painting? ) ft. ) ft. ) ft. ) ft. 55 ft 41 Page 4

5 20. ranger spots a fire while on a meter observation tower. The angle of depression from the tower to the fire is 17. To the nearest meter, how far is the fire from the base of the tower? ) 105 m ) 10 m ) 109 m ) 33 m 21. Find the eact total surface area of a cone that has a slant height of 20 inches and a radius of 6 inches. ) 312π in 2 ) 156π in 2 ) 720π in 2 ) 240π in alculate the volume of the pyramid in cubic meters. ) 7220 m 3 11 ) 267 m ) 19 m ) 2406 m m 20 19m 23. Find the measure of if m = 60. ssume is tangent. The figure is NOT drawn to scale. ) 80 o ) 100 o ) 50 o ) 160 o Solve for. ) 12 ) 21 ) 8 ) Page 5

6 25. Solve for. ) 12 ) 6 2 ) 6 ) none of these has radius 9, has radius 4, and is a common tangent. What is? ) = 13 ) = 12 ) = 12.5 ) = Find the area of the shaded region in square centimeters. ) cm 2 ) cm 2 ) cm 2 ) cm cm 28. Find the volume, in cubic feet, of a sphere 14 ft. in diameter. ) ft 3 ) ft 3 ) ft 3 ) ft 29. Find. ) = 5 ) = 10 ) = 22 ) = Page 6

7 30. Find. Round to the nearest tenth. ) = 13.8 ) = 33.8 ) = 10.4 ) = The revolving restaurant on top of a hotel in San Francisco, alifornia takes 45 minutes to complete a full rotation. table that is 30 ft from the center of the restaurant starts at position (30, 0). What are the coordinates of the table after 9 minutes? Round to the nearest tenth. ) (9.3, 28.5) ) (23, 19.3) ) (28.5, 9.3) ) (11.3, 17.3) 32. Use the unit circle to find the coordinates of point. )!!,!!! )!!,!!! )!!,!!! )!,!!! 33. Which description best fits this solid? : Heagonal Pyramid : Pentagonal Pyramid : Heagonal Triangle : Pentagonal Triangle E: Pentagonal Prism Page 7

8 34. plane faces heavy crosswinds when traveling from New York to London. The plane s velocity and the wind s velocity are epressed by vectors below. v plane = 500i + 142j v wind = 50i 14j What is the magnitude and direction of the vector for this plane? : 472; 24º : 467; 16º : 572; 8º : 523; 14º E: 470; 12º 35. Given: is a right angle. Prove: 1 and 3 are complementary 2! 3 Statement Reason 1.) is a right angle Given 2.) m = 90º efinition of a Right ngle 3.) m 1 + m 2 = m ngle ddition Postulate 4.) m 1 + m 2 = 90º Substitution 5.) 2! 3 Given 6.) m 2 = m 3 efinition of ongruent ngles 7.) m 1 + m 3 = 90º Substitution 8.) 1 and 3 are complementary What is the best reason for the 8 th step of this Geometric proof? : Substitution : ngle ddition Postulate : efinition of an ngle isector : efinition of a Right ngle E: efinition of omplementary ngles 36. What is the converse for the following inverse: If a polygon does not have 9 sides, then it is not a nonagon. : If a polygon is a nonagon, then it has 9 sides. : If a polygon has 9 sides, then it is a nonagon. : If a polygon is not a nonagon, then it does not have 9 sides. : If a polygon does not have 9 sides, then it is not a nonagon. Page 8

9 37. Which of the following is an equation of the line that passes through the point (2, 3) and is parallel to the line 4 + 5y = 1? : 4 + 5y = 23 : 5 4y = 2 : 2 5y = 11 : 4 + 5y = 7 E: 5 + 4y = For what value of are the lines m and p parallel? : = 17 : = 9 : = 10 : The lines are not parallel 39. Find the measure of one eterior angle of a regular 60-gon. : 60º : 10º : 6º : 360º E: 184º 40. Which congruency theorem, if any, confirms that the following triangles are congruent? : SS : SSS : S : Not congruent with given information E: SS Page 9