Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Multilateration wikipedia , lookup
Duality (projective geometry) wikipedia , lookup
History of trigonometry wikipedia , lookup
Perspective (graphical) wikipedia , lookup
Integer triangle wikipedia , lookup
Trigonometric functions wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Rational trigonometry wikipedia , lookup
Euler angles wikipedia , lookup
LIBERAL ARTS I semester two review Four Function Calculators are permitted on the exam for this course. See the last two pages for formulas. a pam production review packet 3. Given points A(4, 5) and B(-4, 11) A. Find the distance AB to the nearest tenth place. ______ 1. Beside each picture, tell if the angle is acute, obtuse, right or straight. A. B. Find the midpoint of AB _____ B. C. 4. What are the three undefined terms of geometry? A. point, line, ray B. bisector, ray, line C. point, space, line D. point, line, plane D. A B C D E. E F G 2. R S Y U T Name three points which are collinear _________ Name three points which are non-collinear______ Name four points which are noncoplanar.___________ Name four points which are coplanar. __________ 5. H Which points above are collinear? r. A, F, C s. F, E, D t. G. H, D u. B, D. E 6. In the figure above in #5 which points are noncollinear? r. B, D, E s. F, E, C t. G, B, D u. A, B, C 7. An angle measuring 180 degrees is called a(n) __________ angle. An angle measuring 90 degrees is called a(n) _________ angle. 8. Beside each set of angles, write "complementary," or "supplementary." A. 1 and 179 degrees__________ B. 30 and 60 degrees_________ created 2/2014 Page 1 of 8 LIBERAL ARTS I semester two review 9. Match each description below. a pam production review packet 13. x=___ 95 A. A line segment with i. SR endpoints R and S, ii. RS and T between R and S. iii. RS iv. RS 50 x 14. y=___ y-10 30 B. A ray with endpoint R and two points on the ray are S and T. 15. z=_____ 80 C. A line with points R, S and T on it. 10. Two men are at the grocery store at noon. One walks 0.6 miles east and the other one walks 0.8 miles north. After that they stop. How far apart are they in miles? A. 10 miles B. 1.4 miles C. 1 mile D. 14 miles z 122 16. The above triangle is A. equilateral B. right C. acute D. obtuse 11. 132o 1 2 3 17. The triangle immediately above is A. equilateral B. right C. acute D. obtuse Give the degree measure of each angle above. 3x 12. 9x created 2/2014 The angles shown measure what? A. B. C. D. 30o , 60o 9o ,81o 7.5o ,82.5o 12o , 78o 18. diagram 1 diagram 2 Classify each according to angles. diagram 1: A. acute B. obtuse C. right D. equilateral diagram 2: E. acute F. obtuse G. right H. equilateral Page 2 of 8 LIBERAL ARTS I semester two review a pam production review packet 19. Classify by SIDES. 23. Match the quadrilateral. A. acute B. scalene C. isosceles D. obtuse 12 12 A. A parallelogram with four equal sides. B. A parallelogram with four right angles, C. A quadrilateral with exactly two parallel sides. D. a quadrilateral with two pair of parallel sides. E. a quadrilateral with four equal sides and 4 right angles. 8 20. Classify according to angles. 12 12 A. isosceles B. right C. equilateral D. acute 1. trapezoid 2. square 3. rectangle 4. rhombus 5. parallelogram 8 24. 21. MATCH A, B, C and D to the M1, M2, M3 and M4 below. A. A freckle on my hand. B. The surface of my mirror. C. The edge of a piece of paper. D. A laser beam that goes "forever" in one direction only. M1. Ray M3. Line A C B 8x-12 E 4x+20 D Find the measure of AEB A. 18 B. 2 C. 48 D. 52 M2. Plane M4. Point 22. 10 64 o 5 9 Choose the two adjectives for the triangle. A. obtuse scalene B. equilateral obtuse C. scalene acute D. acute isosceles created 2/2014 25. A quadrilateral has three angles which measure 23.5 degrees, 99 degrees, and 100.4 degrees. Tell what the measure of the fourth angle is. Page 3 of 8 LIBERAL ARTS I semester two review 26. 1 2 3 4 5 6 7 8 a pam production review packet p 30. q 20 18 10 Volume____ If lines p and q are parallel and m4 102o then give the measures of angles 5 ______ and 7______. 27. 28. 1 2 3 4 5 6 7 8 10. m 18 m 31. Give the exact volume of the figure above. Angles 1 and 5 are called __ angles. a. alternate interior b. corresponding c. alternate exterior d. vertical 32. Angles 4 and 5 are called __ angles. a. alternate interior b. corresponding c. alternate exterior d. vertical 2 6 Find the volume and surface area of the figure above. SA =_____ V=_____ Express the ratio in simplest form: 85 out of 102. A. 5:6 B. 6:7 C. 17:18 D. 10: 11 29. 3 cm 8 cm created 2/2014 4 33. The ratio of the sides of two similar solids is 2:3. The ratio of the areas is ___. 34. The ratio of the surface areas of two spheres is 100: 49. The ratio of the radiis is ___, Use 3.14 . Volume ______ SA _______ Page 4 of 8 LIBERAL ARTS I semester two review 35. Out of the choices below. THREE sets of numbers can be sides of a right triangle. Find the three sets. A. 6, 8, 10 B. 7, 20, 21 C. 9, 12, 15 D. 4, 4, 8 E. 30, 60, 90 F. 20, 21, 28 G. 68, 285, 293 H. 1, 1, 1 a pam production review packet 39. 5y 5y 13x-y 3x 36. ABC ~ MOP . For each correspondence tell (yes or no) if they match. x+y 2x+12y The polygon is a ___ a. pentagon b. hexagon c. octagon d. decagon A. BC PO ____ B. B M ____ C. AC MP ____ D. C P ____ The perimeter of the polygon is a. 19x+22y b. 19x+24y c. 41xy d. 10xy-12 37. Find the missing sides of each triangle. 40. A quadrilateral with two pairs of parallel sides is called…________ 12 41. A parallelogram with only one pair of parallel sides is called …__________ 9 a R. a=18 S. a=24 T. a= 239 U. a=15 2 3 4 5 7 6 8 7 25 TRUE OR FALSE? A. c=24 B. c=50 C. c= 16.6 D. c= 274 C P ? U V A B ABC ~ UVP If AB=12, BC=8, UV=5, PU=6, then find CA___ created 2/2014 1 q c 38. 42. p ___A. If 3 and 4 add to 180 degrees then lines p and q are parallel. ___B. If 1 is congruent to 8 then lines p and q are parallel. ___C. If 5 is congruent to 4 then lines p and q are parallel. ___D. If 3 and 5 add to 90 then lines p and q are parallel. Page 5 of 8 LIBERAL ARTS I semester two review a pam production review packet 20 ft x 10 ft 12 ft 43. A ladder is leaning on a fence and it reaches up a wall 20 feet high. The fence is 10 feet from the wall and the base of the ladder is 12 ft from the fence. How tall is the fence in feet? created 2/2014 Page 6 of 8 LIBERAL ARTS I semester two review a pam production review packet REFERENCE SHEET REFERENCE SHEET created 2/2014 Page 7 of 8 LIBERAL ARTS I semester two review a pam production review packet REFERNCE SHEET created 2/2014 Page 8 of 8