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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. _______________________________________________________ 9