Geometry Semester 2 Practice Exam

Transcription

1 1. tire has a radius of 15 inches. What is the approximate circumference, in inches, of the tire?. 47 in.. 94 in in. D. 707 in. 2. In the figure below, adjacent sides of the polygon are perpendicular What is the perimeter of the figure? rectangular garden is to be edged with decorative brick as shown by the shaded region in the figure. The flower garden is 4 feet by 12 feet. The trapezoids are 2 feet high. 4 ft What is the area of the decorative edge (the shaded region) in square feet?. 20 ft ft ft 2 D. 48 ft 2 8 ft 12 ft 2 ft D The length of a rectangular patio is 32 feet. Its area is 800 square feet. What is the perimeter of the patio in feet?. 25 ft. 57 ft. 114 ft D. 368 ft GO ON

2 5. Given the figure below: V H F D What is the best description of VF?. altitude. base edge. lateral edge D. slant height 6. The surface area of a cylinder is 2 (rea of ase) + (ircumference of the ase) height. In the cylinder below, the radius is 4 centimeters and surface area is 72 square centimeters. What is the height of the cylinder?. 4 cm. 5 cm. 6 cm D. 9 cm GO ON

3 7. regular pyramid has height of 6 inches and the measure of the base edge is 7 inches. Volume = 1 3 (rea of ase) height 6 in. 7 in. What is the volume of the pyramid?. 49 in in in. 3 D. 294 in What is the volume of the cone below? Volume = 1 3 (rea of ase) height 12 in. 4 in.. 192π in π in π in. 3 D. 48π in GO ON

4 9. group of students wants to make a fabric toy ball to donate to the canine rescue. The diameter of the ball is 3 inches. Surface area = 4 (rea of a Great ircle). pproximately how many square inches of fabric will they need for each ball?. 29 in in in. 2 D. 114 in cereal box is 18 inches by 3 inches by 12 inches. fter breakfast, the box is one-third full. Volume = (rea of ase) height How many cubic inches of cereal are left inside?. 36 in in in. 3 D. 648 in GO ON

5 11. Two similar rectangular prisms have a scale factor of 4:1. The smaller prism has a volume of 6 cubic centimeters. What is the volume of the larger prism in cubic centimeters?. 24 cm cm cm 3 D cm Which accurately describes a tangent?. segment whose endpoints are on the circle.. line that intersects a circle in two points and passes through the center of the circle.. segment having an endpoint on the circle and an endpoint at the center of the circle. D. line that intersects a circle at exactly one point. 14. Use the figure below. 12. pizza parlor has two different sizes of circular pizzas. The smaller one has a diameter of 12 inches and the larger one has a diameter of 20 inches. E G What is the ratio of their areas?. 9:25. 3:5. 2 3:2 5 D. 6 : 10 Which of the following represent a secant?. G D. E. D. D GO ON

6 15. In circle S below, Q 32 P 17. In K, mxy 7x 9 3 2x 15, mwz, and m XLY 148. S W X T R K L The m QPT 32, what is the measure of QRT? Z Y D In circle J below, D. 27 L What is the value of x? J 3x K D. 350 What is the value of x? 18. In the figure below, m 75 and md 135, What is m P? D. 60 D R Q P GO ON

7 19. Two tangents are drawn from point P to circle H. N 21. In K, NK 3x 4, KW 5x 8, S 5x 4, and KN KW. R N H P K R W What conclusion is guaranteed by this diagram? 1. mnr m NPR 2. ΔHNR is a right triangle.. HNPR is a rhombus. D. HNPR is a kite. What is N? D. 26 S 20. ll of the segments shown in the figure below are tangents to N. 6 cm T N 10 cm W 4 cm D V U 3 cm Given the measures in the figure above, what is the perimeter of quadrilateral D?. 23 cm. 40 cm. 46 cm D. 52 cm GO ON

8 22. K is the diameter of O, 19x, and 9( x 2) 6 mj mjk. O 24. How many lines of symmetry does a square have? D Which figure contains two similar triangles that are not congruent? J K L. What is the value of x? D Determine the transformation that has mapped Δ to Δ.. ' D. ' '. dilation. reflection. rotation D. translation GO ON

9 26. The following figures are similar. W What is the scale factor of WXYZ to D?. 1 to 2. 3 to 1. 3 to 2 D. 4 to 3 Z 56 D Two plasma screen TVs are similar rectangles. Their scale factor is 8:5. The perimeter of the smaller TV is 70 inches. The lengths of the sides of the larger TV are represented by the variable expressions shown in the diagram below. (3x 4) in. 24 X 32 Y (2x) in. 28. The measures of the angles of a triangle have the ratio 4:6:7. What type of triangle is it?. acute. isosceles. obtuse D. right 29. The perimeter of a right triangle is 90 feet. The ratio of the legs is 5:12. What is the length of the longest leg of the triangle?. 12 ft. 32 ft. 36 ft D. 90 ft 30. Pat measures the length of the shadow of a tree to be 54 feet long. t the same time he measures his own shadow to be 12 feet long and his height to be 5 feet. How tall is the tree in feet? feet. 25 feet feet D. 20 feet What is the value of x? D GO ON

10 31. Kris places a mirror on the ground. She stands so that she can see the reflection of the top of a flagpole in the mirror. G h 2 m 3 m 15 m What is the height h of the flagpole in meters?. 10 m. 12 m. 18 m D. 20 m 32. Given the two triangles pictured below. N H J 9 6 L O 15 What measure for HJ would make NO LJH? D GO ON

11 33. In the triangle below, D. 7 4 z 10.5 D 35. What is the geometric mean of 16 and 36? D Nan stands at the corner of the rectangular driveway shown below. What is the value of z? D ft D ft 34. In the triangle below, RT HS. M 4 R What is the value of x? H x T 15 S How far must Nan walk diagonally across the driveway ( to )?. 7 ft. 14 ft. 35 ft D. 49 ft D GO ON

12 37. box is shown below. 38. Use the dimensions given in the diagram below in. 6 in. 8 in. x 16 What is?. 26 in.. 38 in in. D. 8 10in. What is the value of x? D The three sides of a triangle are 3 centimeters, 5 centimeters, and 7 centimeters. What is the best description for this triangle?. acute triangle. equiangular triangle. obtuse triangle D. right triangle GO ON

13 40. jet is flying 7 miles above the ground. The pilot spots an airport as shown below. 42. In rectangle D, D = 12 and m D 30. What is the length of the longer side of the rectangle? 7 mi d D. 6 3 What is the distance d from the plane to the airport?. 7 2 mi. 7 3 mi. 7 mi D. 14 mi Use the dimensions given in the diagram below. 43. Use the table and the dimensions given in the diagram below. r sin cos tan y What is the value of y? D What is the value of r? D GO ON

14 44. Use the dimensions given in the right triangle below. 46. Use the dimensions given in the diagram below What is the cosine of D ? 45. Use the table and the dimensions given in the diagram below. ngle of descent Which equation would be used to find the distance h from the hot air balloon to the ground?. h 150 tan 53. h 150sin 53. D ft 150 h tan h sin53 h 3.4 mi 10 mi sin cos tan What is the approximate angle of descent? D GO ON

15 47. Use the table and the dimensions given in the diagram below. 48. In circle D below, is tangent to D at, and is tangent to D at. 2x 6 10 d 128 ft D 40 3 x 7 sin cos tan What is the approximate length d of the kite string?. 256 ft. 200 ft. 168 ft D. 100 ft What is the length of D? D In the figure below, is tangent to D at and is tangent to D at. 6 2 x 5 1 D 5x What is the value of x? D GO ON

16 50. In the figure below, RP is tangent to the circle at R and SP is a secant. R x P S 8 cm V 6 cm What is the value of x?. 48 cm. 84 cm. 4 3 cm D cm

17 Free Response 1. Given with right angle at and altitude D, draw the picture and explain why D GO ON

18 Free Response 2. Find the length of the altitude of an isosceles triangle with vertex angle 120 and base length of 30 centimeters. Give answer in simplified radical form. 3. Find the area of a regular hexagon with an apothem of 9 centimeters. Give answer in simplified radical form