Name ____________________________________
Date ____________________
Block ______
Math 6 Unit 6 Study Guide
Geometry
Section 1: Circumference and Area of Circles
Match the word with the appropriate units.
_______ 1) Circumference
A) units (in, cm, ft)
_______ 2) Area
B) square units (in2, cm2, ft2)
C) cubic units (in3, cm3, ft3)
Find the area and circumference of the following circles. Remember to
show all your work and INCLUDE UNITS!
3)
7 inches
1
Name ____________________________________
Date ____________________
Block ______
4)
3 feet
Read the following word problem and decide if it asking for area or
circumference. Set up the problem show all your work and INCLUDE
UNITS!
5)
The spray from a spinning lawn sprinkler makes a circle with a radius
of 15 feet. How much grass does the sprinkler cover?
6)
What is the distance around a bike tire that has a diameter of 24
inches?
2
Name ____________________________________
Date ____________________
Block ______
Section 2: Area and Perimeter
Match the word with the appropriate units.
_______ 1) Area
A) units (in, cm, ft)
_______ 2) Perimeter
B) square units (in2, cm2, ft2)
C) cubic units (in3, cm3, ft3)
Find the area and perimeter of the following shapes. Remember to show all
your work and INCLUDE UNITS!
3)
3
Name ____________________________________
Date ____________________
Block ______
4)
5)
6)
4
Name ____________________________________
Date ____________________
Block ______
7)
Read the following word problems and set up the problem using the correct
formula(s) and show all your work and INCLUDE UNITS!
8)
In the NBA, basketball courts are 94 feet long and 50 feet wide. Find
the area and perimeter of the basketball court.
9) Sue wants to place a triangular garden in her backyard. The height of
the garden is 5 feet. The base of the garden is 4 feet. What is the area of
her garden?
5
Name ____________________________________
Date ____________________
Block ______
Section 3: Volume and Surface Area
Match the word with the appropriate units.
_______ 1) Surface Area
A) units (in, cm, ft)
_______ 2) Volume
B) square units (in2, cm2, ft2)
C) cubic units (in3, cm3, ft3)
Find the volume and surface area of the following objects. Remember to
show all your work and include units.
3)
6
Name ____________________________________
Date ____________________
Block ______
4)
Read the following word problems and decide if it is asking for volume or
surface area. Set up the problem and show all your work and INCLUDE
UNITS!
5)
A cereal box is 10 inches tall, 7 inches long, and 2 inches wide. How
many square inches of material were used to make the cereal box?
6)
A rectangular swimming pool is 6 feet deep, 20 feet long, and 14 feet
wide. How much water is needed to fill the swimming pool?
7
Name ____________________________________
Date ____________________
Block ______
Part 4. Quadrilaterals
Circle the shape or shapes that meet each condition.
1) Which shape only has 1 set of parallel sides?
2) Which shape(s) does not have 2 sets of congruent sides?
3) Which shape(s) has 2 sets of congruent sides and opposite angles are congruent?
4) Which shape(s) does NOT have two sets of parallel sides?
Square
Trapezoid
Rhombus
Rectangle
Parallelogram
5) Which shape(s) does NOT have one or two pairs of opposite congruent sides?
Trapezoid
Kite
Parallelogram
Square
Rectangle
8
Name ____________________________________
Date ____________________
Block ______
Answer the following statements with always, sometimes, or never. Justify your answer with a complete
sentence.
6)
A trapezoid is a parallelogram. _______________________________________________________
7)
A rectangle is a rhombus. ___________________________________________________________
8)
A parallelogram is a square. _________________________________________________________
9)
A kite is a parallelogram. ___________________________________________________________
10)
A square is a rhombus. _____________________________________________________________
11)
A kite is a quadrilateral. ____________________________________________________________
12)
A trapezoid is a quadrilateral. _______________________________________________________
13)
A parallelogram is a rhombus. _______________________________________________________
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