Intuitive 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?. 707 in in.. 94 in.. 47 in. 2. In the figure below, adjacent sides of the polygon are perpendicular What is the perimeter of the figure? Given the figure below: H What is the best description of VF?. altitude. base edge. lateral edge. slant height 4. What is the volume, in cubic inches, of the cone below? 1 V = π 3 F V 2 r h 12 in. 4 in.. 48π in π in π in π in GO ON lark ounty School istrict Revised 01/07/2009

2 5. cereal box is 18 inches by 3 inches by 12 inches. fter breakfast, the box is one-third full. 6. Use the figure below. V = h E G How many cubic inches of cereal are left inside?. 36 in in in in. 3 Which of the following represent a secant?. G. E GO ON lark ounty School istrict Revised 01/07/2009

3 7. In the circle S below, P Q etermine the transformation that has mapped Δ to Δ. S ' The m QPT = 32, what is the measure of QRT? T 8. In circle J below, L R J ( 3x 6) 156 K. translation. rotation. reflection. dilation 10. How many lines of symmetry does a square have? ' ' What is the value of x? GO ON lark ounty School istrict Revised 01/07/2009

4 11. Which figure contains two similar triangles that are not congruent?. 12. The following figures are similar. W X 32. Z Y 42.. What is the scale factor of WXYZ to?. 1 to 2. 3 to 1. 3 to 2. 4 to Given the two triangles pictured below. H P O 55 N I J What measure for ΔHIJ ΔNOP? P would make GO ON lark ounty School istrict Revised 01/07/2009

5 14. 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? 15. Nan stands at the corner of the rectangular driveway shown below. 21 ft 28 ft ft. 25 ft ft. 20 ft 5 ft 54 ft 12 ft How far must Nan walk diagonally across the driveway ( to )?. 7 ft. 14 ft. 35 ft. 49 ft GO ON lark ounty School istrict Revised 01/07/2009

6 16. 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 3m 15 m What is the height h of the flagpole in meters?. 10 m. 12 m. 18 m. 20 m 17. The three sides of a triangle are 4 centimeters, 7 centimeters, and 9 centimeters. What is the best description for this triangle? 18. jet is flying 7 miles above the ground. The pilot spots an airport as shown below.. acute triangle. equiangular triangle. right triangle. obtuse triangle 7 mi d What is the distance d from the plane to the airport?. 7 mi. 7 2 mi. 7 3 mi. 14 mi GO ON lark ounty School istrict Revised 01/07/2009

7 19. Use the dimensions given in the right triangle below What is the cosine of? Lulu needs to wallpaper four walls that are each 10 feet tall. roll of wallpaper will cover 60 square feet. Lateral surface area = (Perimeter of ase) height 10 ft 20 ft 15 ft How many rolls of wallpaper should Lulu buy?. 12 rolls. 45 rolls. 50 rolls. 70 rolls GO ON lark ounty School istrict Revised 01/07/2009

8 21. In a right triangle, what is term that describes the shortest side?. perpendicular bisector. hypotenuse. median. leg 22. Given the following right triangle: 12 x 20 What is the value of x? 24. The two rectangles below are similar. x 10 9 What is the value of x? The parallelograms below are similar. 3x Δ is a right triangle. 3 What is the value of x?. 3 7 x What is the value of x? GO ON lark ounty School istrict Revised 01/07/2009

9 26. The figure below is a parallelogram. What is the area of the parallelogram in square cm?. 135 cm cm cm cm The triangle below is a right triangle. What is the area of the triangle?. 24 cm cm cm cm 2 15 cm 13 cm 6 cm 9 cm 12 cm 5 cm 28. Given E ~ FGHIJ, which would be true? 29. Given the similar figures below, with the measurements indicated: 16 What is the scale factor of E to FGHIJ?. 2 to 1. 3 to 1. 4 to 1. 5 to 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 8. right triangle. obtuse triangle E 12 2 H G 4 F 4 3 I 3 J. H.. E F. G J GO ON lark ounty School istrict Revised 01/07/2009

10 foot wire runs from the ground to a point on a telephone pole. The wire makes an angle of 30 with the ground, as shown below. The telephone worker climbs up from the ground to the where the wire is attached to the pole. 32. balloon is attached to a string as shown in the figure below. The string makes an angle of 60 with the ground. The length of the string is 140 feet. 140 ft h 70 ft 30 How far does the worker climb? feet feet. 35 feet. 60 feet What is the height h of the balloon above the ground, in feet?. 140 ft. 70 ft ft ft In the figure below, which of the following represents a chord? N E M.. N. E. MN GO ON lark ounty School istrict Revised 01/07/2009

11 34. Which circle displays an inscribed angle?. 35. The figure below shows a circular washer. The radius of the opening is 3 millimeters. 5 mm. What is the area of the washer?.. 64π mm 2. 55π mm 2. 25π mm 2. 16π mm Which of the following could represent the surface area of a sphere?.. 9π cm. 9π cm 2. 9π cm 3. 9π cm What is the distance between two points on a circle through the center?. pi. radius. circumference. diameter GO ON lark ounty School istrict Revised 01/07/2009

12 38. In the figure below, the adjacent sides of the polygon are perpendicular. 3 ft 12 ft 10 ft 4 ft 40. The longer leg of a triangle is 8 3. What is the length of the hypotenuse? What is the area of the figure in square feet?. 44 ft ft ft ft Monica is putting a fence along the edge of a rectangular garden. The garden is 12 feet long and x feet wide as shown below. 12 x If the garden has a perimeter of 60 feet, what is the value of x? GO ON lark ounty School istrict Revised 01/07/2009

13 41. The figure below represents a rectangular prism. Surface rea = (Perimeter of ase) height + 2 (rea of ase) 3 cm 8 cm 6 cm What is the surface area of the prism?. 90 square cm. 144 square cm. 180 square cm. 288 square cm 42. What type of triangle is always similar to another triangle of the same type?. equilateral. isosceles. scalene. vertical 43. In the picture below =. E E Which property shows the triangles are similar?. angle-angle similarity. side-side-side similarity. side-angle-side similarity. side-side-angle similarity GO ON lark ounty School istrict Revised 01/07/2009

14 44. In the right triangle below, what is the sine of? 46. ircle has a radius of 6 centimeters. 6 cm What is the area of the shaded sector, in square centimeters?. 6π cm 2. 12π cm 2. 36π cm 2. 60π cm ircle has a radius of 12 centimeters and a central angle of cm 47. What is the area of a circle with a diameter of 10?. 10π. 20π. 25π. 100π What is the length of?. 24π cm. 18π cm. 12π cm. 3π cm GO ON lark ounty School istrict Revised 01/07/2009

15 48. RS is a diameter of circle Q as shown below. R 50. Use the circle below. Q P S Since mps = 55, what is m RQP? What is the measure of. 133? 49. Use the circle below. 75 What is the measure of? lark ounty School istrict Revised 01/07/2009

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17 Free Response 1. raw and label a rectangle, a rhombus, and an isosceles triangle, each with a perimeter of 36 units. Label all dimensions needed to find the perimeter, with appropriate numerical values GO ON lark ounty School istrict Revised 01/07/2009

18 Free Response 2. XYZ is a right triangle with Y as the right angle, XZ = 5, and YZ = 13.. Sketch and label a diagram.. Show all steps to find the length of the missing side, include the steps for simplifying the answer. 3. What is the value of each lettered angle or arc in the circle below? WX and YZ are diameters. e W a = b = Y a 63 f c Z c = d = d b e = f = X lark ounty School istrict Revised 01/07/2009

19 INTUITIVE GEOMETRY SEMESTER 2 EXM ITEM SPEIFITION SHEET & KEY Free Response # Objective Syllabus Objective NV State Standard 1 evelop strategies for finding the perimeters and areas of 10.1 various polygons and circles Explore right triangles and their relationships including Pythagorean Theorem Explore relationships within a circle Multiple hoice # Objective Syllabus NV State Practice Objective Standard Key 1 evelop strategies for finding the perimeter of various polygons and circumference of circles evelop strategies for finding the perimeter of various polygons and circumference of circles Explore relationships among the parts of solid figures evelop strategies for finding the volume of basic solid figures evelop strategies for finding the volume of basic solid figures ompare the attributes among the various parts of a circle ompare the attributes among the various parts of a circle evelop strategies for solving problems relating to circles using algebraic techniques istinguish among the basic mapping functions Identify examples of each type of symmetry ifferentiate between similar and congruent triangles evelop strategies for solving proportions using polygons ifferentiate between similar and congruent triangles evelop strategies for solving proportions using triangles Explore right triangles and their relationships including Pythagorean Theorem evelop strategies for solving proportions using triangles ategorize a triangle by applying the converse of the Pythagorean Theorem and its corollaries ompute lengths of sides in special right triangles etermine the trigonometric ratios for a right triangle evelop strategies for finding the surface area of basic solid figures Explore right triangles and their relationships including Pythagorean Theorem Explore right triangles and their relationships including Pythagorean Theorem Explore right triangles and their relationships including Pythagorean Theorem ifferentiate between similar and congruent ifferentiate between similar and congruent evelop strategies for finding the area of various polygons and circles Final Key Page 1 of 2 Revised: 01/07/09 lark ounty School istrict

20 INTUITIVE GEOMETRY SEMESTER 2 EXM ITEM SPEIFITION SHEET & KEY Multiple hoice # Objective Syllabus Objective 27 evelop strategies for finding the area of various polygons and circles NV State Standard ifferentiate between similar and congruent triangles evelop strategies for solving proportions using polygons ategorize a triangle by applying the converse of the Pythagorean Theorem and its corollaries ompute lengths of sides in special right triangles ompute lengths of sides in special right triangles ompare the attributes among the various parts of a circle ompare the attributes among the various parts of a circle Practice Key 35 evelop strategies for finding the perimeter (or circumference) and area of various polygons and circles evelop strategies for finding the surface area and volume of basic solid figures ompare the attributes among the various parts of a circle evelop strategies for finding the perimeter (or circumference) and area of various polygons and circles evelop strategies for finding the perimeter (or circumference) and area of various polygons and circles ompute lengths of sides in special right triangles evelop strategies for finding the surface area and volume of basic solid figures ifferentiate between similar and congruent triangles evelop strategies for solving proportions using triangles etermine the trigonometric ratios for a right triangle evelop strategies for finding the perimeter (or circumference) and area of various polygons and circles evelop strategies for finding the perimeter (or circumference) and area of various polygons and circles evelop strategies for finding the perimeter (or circumference) and area of various polygons and circles ompare the attributes among the various parts of a circle evelop strategies for solving problems relating to circles using algebraic techniques evelop strategies for solving problems relating to circles using algebraic techniques Final Key Page 2 of 2 Revised: 01/07/09 lark ounty School istrict