GEOMETRY 2Nd Semester Review

GEOMETRY 2nd Semester Review

The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers and together form a Pythagorean triple. Find the length of the third side and tell 29. ______whether it is a leg or the hypotenuse. 29. 55 and 73

30. 18 and 82 30. ______

31. 75 and 100 31. ______

32. A mall escalator rises 84 feet at a 35° angle. Find the distance a person travels on the escalator stairs. Round your answer to two 32. ______decimal places

Solve the right triangle. Round decimal answers to the nearest tenth. 33. 33. ______

______

34. ______34. ______

35. 35. ______

______GEOMETRY 2nd Semester Review Find the value of x. 36.

36. ______. d e v r e s e r

s 37. t h g i r l

l 37. ______A

. y n a p m o C g n i h s i l 38. b u P t 38. ______r u o c r a H n i l f f i M n o t h g

u Tell whether enough information is given in the diagram to o H classify the quadrilateral by the indicated name. © t h g i 39. Square r 39. ______y p o C

40. Rectangle 40. ______

41. Rhombus 41. ______GEOMETRY 2nd Semester Review

The vertices of JKLM are J(2, –1), K(4, 0), L(5, –3), and M(1, –4). Find the coordinates of the image of JKLM after a composition of the transformations in the order they are listed. 42. Translation: (x, y) → (x – 2, y + 3) Reflection: in the x-axis 42. ______

43. Translation: (x, y) → (x + 1, y – 4) Rotation: 90° about the origin

43. ______

______GEOMETRY 2nd Semester Review

Find the image matrix that represents a dilation of the polygon centered at the origin with the given scale factor.

A B C 44. 轾-2 1 4 44. ______犏 ;k = 3 臌-3 5 - 1

P Q R S 45. ______45. 轾-6 0 3 3 2 犏 ;k = 臌3 9 0- 6 3

Find the value of each variable. 46. 46. ______

47. ______

48. Write the standard equation of the circle with center (7, –2) and radius 4 3 . 48. ______GEOMETRY 2nd Semester Review

Find the area of the figure. 49. ______49. . d e v r e s e r

Find the indicated measure. h g i r

l 50. ______l A

50. Circumference of e L . y n a p m o C

g n i h s i l b u P

t r u o c r a H

51. ______i l f

51. Area of sector ACB f i M

n o t h g u o H

t h g i r y p o C

Find the volume of the figure. Round your answers to two decimal places, if necessary. 52. ______52. 53.

53. ______

54. Two cylindrical candles have a scale factor of 3 : 5. The larger candle 54. ______has a volume of 40π cubic inches. Find the volume of the smaller candle. Write your answer in terms of π.