C Challenge

39. The net below folds into a cube. Sketch the cube so that its front face is shaded as shown below.

    

    
    Image Long Description

40. Architecture What does the net of the staircase shown look like? Draw the net. (Hint: Visualize stretching the stairs out flat.)

    

41. A hexomino is a two-dimensional figure formed with six squares. Each square shares at least one side with another square. The 11 nets of a cube that you found in Exercise 38 are hexominoes. Draw as many of the remaining 24 hexominoes as you can.

42. Visualization Use the orthographic drawing below.

    
    Image Long Description

    1. Make an isometric drawing of the structure.
    2. Make an isometric drawing of the structure from part (a) after it has been turned on its base 90 ° 90 degrees  counterclockwise.
    3. Make an orthographic drawing of the structure from part (b).
    4. Turn the structure from part (a) 180 ° . 180 degrees .  Repeat parts (b) and (c).

Standardized Test Prep

SAT/ACT

43. How many possible nets does the solid below have?

    

    1. 1
    2. 2
    3. 3
    4. 4
44. Solve 10 a − 5 b = 25 10 eh minus 5 b equals 25  for b.
    6. b = 10 a + 25 b equals 10 eh plus 25
    7. b = 10 a − 25 b equals 10 eh minus 25
    8. b = 2 a + 5 b equals 2 eh plus 5
    9. b = 2 a − 5 b equals 2 eh minus 5

Short Response

45. Graph the equation x + 2 y = − 3 . x plus 2 y equals negative 3 .  Label the x- and y-intercepts.

Mixed Review

See p. 824.

For Exercises 46 and 47, use the diagram below.

46. Measure DE and EF to the nearest millimeter.
47. Measure each angle to the nearest degree.
48. Draw a triangle that has sides of length 6 cm and 5 cm with a 90 ° 90 degrees  angle between those two sides.

Get Ready! To prepare for Lesson 1-2, do Exercises 49–51.

See p. 833.

Coordinate Geometry Graph the points on the coordinate plane.

49. (0, 0), (2, 2), (0, 3)
50. ( 1 , 2 ) , ( − 4 , 3 ) , ( − 5 , 0 ) open 1 comma 2 close comma open negative 4 comma 3 close comma open negative 5 comma 0 close
51. ( − 4 , − 5 ) , ( 0 , − 1 ) , ( 3 , − 2 ) open negative 4 comma negative 5 close comma open 0 comma negative 1 close comma open 3 comma negative 2 close

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