Unit 9 Study Guide

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                          Unit 9 Study Guide

1. Does this situation involve finding the area or finding the volume?
The number of tiles that will cover a kitchen floor.



2. A rectangle is 30 yards long and 6 feet wide. Find its area.




3. How do you label volume of a prism?




  4. How do you label area of a rectangle?




  5. How many dimensions do you use to find area? Volume?




6. Calculate the area if the base is 5 meters and the perimeter is 22
meters.
Part A

Use the grid.
3.
                     5
                     4
                     3
                     2
                     1
                     0
      –5 –4 –3 –2 –1     1   2   3   4 5
                   –1
                   –2
                   –3
                   –4
                   –5


a. Plot and label the following points:
   A: 1, 1
      bg      B: 2 , 3
                     bg  C: 5, 3   D: 4, 1
                                     bg        bg

b. Draw line segments to connect the points as follows:
   A to B, B to C, C to D, and D to A.


c. Describe the figure you have drawn.


d. Plot points on the grid to make a reflection of the figure. Begin with
the reflection of point A at 1, – 1 .    b g

e. Record the points you used below.
 Point Original Figure Reflected Figure
   A         bg
             1, 1            d ,           i
  B          b, 3g
             2               d       ,     i
  C          b, 3g
             5               d       ,     i
  D          b, 1g
             4               d       ,     i
f. Describe a rule for changing the points from the original figure to
get the reflected figure.




Use the grid.
4.
                   5
                   4
                   3
                   2
                   1
                    0
     –5 –4 –3 –2 –1     1   2   3   4 5
                  –1
                  –2
                  –3
                  –4
                  –5


a. Plot and label the following points:
   A: 1, 1
      bg      B: 1, 4
                   bg    C: 4 , 3  D: 4, 1
                                    bg    bg

b. Draw line segments to connect the points as follows:
   A to B, B to C, C to D, and D to A.


c. Describe the figure you have drawn.
d. Plot points on the grid to make a reflection of the figure. Begin with
the reflection of point A at – 1, 1 .
                                   b g

e. Record the points you used below.
 Point Original Figure Reflected Figure
   A        bg
             1, 1        d     ,    i
  B         b4g
            1,           d     ,    i
  C         b, 3g
            4            d     ,    i
  D         b, 1g
            4            d     ,    i



f. Describe a rule for changing the points from the original figure to
get the reflected figure.




5. Ethel wants to build a fence around her rectangular garden. The
garden measures 40 meters by 50 meters.
a. In order to build a fence, does Ethel need to find the area or the
perimeter of the garden?
b. How much fencing material does she need?
6. Use the formula to help you.
 Area of parallelogram  length of base  height: A  b  h
Write the area, height, and base of the figure below.




7. Use the formula to help you.
                      1                               1
 Area of triangle       length of base  height: A   b  h
                      2                               2
Write the area, height, and base of the figure below.




8. Use the formula to help you.
                      1                               1
 Area of triangle       length of base  height: A   b  h
                      2                               2
Write the area, height, and base of the figure below.
9. What ordered number pair names point Q in the coordinate grid
below?


    9
    8                  P
    7                              S
    6
    5                      R       Q
    4
    3
    2
    1
     0       1 2 3 4 5 6 7 8 9




10. Plot and label a point C in the grid so that triangle ABC has an area
of 12 square centimeters. What ordered number pair names point C?

         8
                                               1cm2
         7
         6
         5
         4
         3
         2
         1
                           A                   B

         0     1   2       3   4       5   6   7   8
11. The prism is made up of centimeter cubes.




a. What is the area of the base of the prism?

b. What is the height of the prism?

c. What is the volume of the prism?

d. If you kept the area of the base the same and changed the height so
that the volume tripled, what would the new volume and new height be?
[1] area


[2] 180 square feet


[3] a. b., and d.
                                    5
                                    4
                                             B           C
                                    3
                                    2
                                    1    A           D
                                     0
                      –5 –4 –3 –2 –1     1   2   3   4 5
                                   –1
                                   –2
                                   –3
                                   –4
                                   –5


c. A parallelogram with BC parallel to AD and AB parallel to CD .
e. Point Original Figure Reflected Figure
      A             bg
                  1, 1              b
                                  1, – 1     g
      B             bg
                  2, 3              b
                                 2, – 3      g
      C             bg
                  5, 3              b
                                 5, – 3      g
      D             bg
                  4, 1              b
                                  4, – 1     g
f. Sample answer: Change the second number in each pair to its opposite.


[4] a. b., and d.
                                    5
                                         B
                                    4
                                                     C
                                    3
                                    2
                                    1    A           D
                                     0
                      –5 –4 –3 –2 –1     1   2   3   4 5
                                   –1
                                   –2
                                   –3
                                   –4
                                   –5


c. A trapezoid with BC not parallel to AD and AB parallel to CD .
e. Point Original Figure Reflected Figure
     A         1, 1bg              b
                               – 1, 1      g
    B          1, 4bg              b
                              – 1, 4       g
    C          4, 3bg              b
                              – 4, 3       g
    D          4, 1bg              b
                              – 4, 1       g
f. Sample answer: Change the first number in each pair to its opposite.


[5] a. Perimeter
b. 180 m


[6] Area: 14 cm 2 ; Height: 2 cm; Base: 7 cm


[7] Area: 7 cm 2 ; Height: 2 cm; Base: 7 cm


[8] Area: 6 cm 2 ; Height: 4 cm; Base: 3 cm


   b g
[9] 7, 4


[10]
              8
                               C
              7
              6
              5
              4
              3
              2
              1
                           A                   B

              0    1   2   3   4   5   6   7       8




                   bg
Sample answer: 4 , 7
[11] a. 15 cm2
b. 4 cm
c. 60 cm3
d. 180 cm3 ; 12 cm

				
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