Note: Many problems in this packet will be completed together in class during review time. Students are not expected to complete every single problem in the packet. They should complete the “starred” problems on each page-- in addition to studying the notes and past quizzes– in order to be fully prepared for test. TOPICS COVERED ON “Geometry” TEST: STUDENTS HAVE FORMULA SHEETS AND WILL BE ALLOWED TO USE THE FORMULA SHEET ON THE TEST! Quadrilaterals Transformations on the Coordinate Plane: - Translations (Slides) - Rotations (Turns) - Reflections (Flips) - Dilations (Re-sizing) Volume of both Rectangular Prisms and Cylinders Surface Area of both Rectangular Prisms and Cylinders Changing Attributes (length, width, height) Be able to: -Know and understand (for transformations): “Right or left changes ________________! Up or down changes ________________! -Describe in your own words the difference between Volume and Surface Area. -Look at a “net” (flat version of 3-D figure) and explain how the net relates to Surface Area of the figure. Name:____________________________________________________________________________________Date:_____/_____/__________ Study guide/ practice Unit 7 Test, “Geometry” On the back of this cover page is the Unit 6 “Quick Guide” – for your reference.

Unit 7, “Geometry,” Quick Guide You can do it! Math rocks!

QUADRILATERALS List the most specific name for each quadrilateral: Decide if each statement is sometimes, always, or never true: 1.A square is a rectangle. 2.A rectangle has exactly four right angles. 3.A trapezoid is a square. 4.A rhombus is a parallelogram. 5.A rectangle is a rhombus. 6.A trapezoid has two pairs of parallel sides. 7.A rectangle is a square. 8.A parallelogram is a rhombus. 9.A trapezoid is a quadrilateral. 10.A rhombus is a square. Short Answer: 1.Which quadrilaterals MUST have exactly four right angles? 2.Which quadrilaterals MUST have exactly four congruent sides? 3.Which quadrilaterals MUST have exactly TWO pairs of parallel sides?

1. Translate the figure(3,6): 2. Translate the figure (4,-5): 3. Translate the figure(-5, -1): 4. Translate the figure (-4,2): 5. Translate the figure (-5,8): 6. Translate the figure (0,-3): This means 3 units to the right and 6 units up! A 1 = _____ A A A A A A

1. Reflect over the y axis: 2. Reflect over the x-axis: 3. Reflect over the x-axis: 4. Reflect over the y-axis: 5.Reflect over the x axis and then the y-axis: 6. Reflect over the x-axis: A A A A A A A 1 = _____

1.Where will Point A end up after a 90 ° clockwise rotation? _______ 2.Where will Point A end up after a 180 ° clockwise rotation? _______ 4.Where will Point A end up after a 270 ° clockwise rotation? _______ 3.Where will Point A end up after a 90 ° counter-clockwise rotation? ______ 6.Where will Point A end up after a 180 ° counter-clockwise rotation? _______ 5.Where will Point A end up after a 270 ° counter-clockwise rotation? _______ A A A A A A

1. Dilate by a scale factor of 2:2. Dilate by a scale factor of ½: 3. Dilate by a scale factor of ½:4. Dilate by a scale factor of 3: 5. Dilate by a scale factor of 1 / 3 : 6. Dilate by a scale factor of 2: A A A A A A A 1 = _____

Volume Find the volume for each figure: If you do not have formula sheet, use “Quick Guide” (pg.2) to find formulas!

Surface Area Find the surface area for each figure: If you do not have formula sheet, use “Quick Guide” (pg.2) to find formulas!

Surface Area Nets 1.Label the above net with the following labels: 2.Explain how the SA formula for a rectangular prism relates to the above net. In other words, each part of the formula represents which part(s) of the net? TopBottomFrontBackRight Side Left Side SA= 2lw + 2lh + 2wh RECTANGULAR PRISM NET: CYLINDER NET: 1.Label the three parts of the above net. 2.For the “rectangle” curved surface, the long side (length) of the rectangle represents which part of the cylinder? The short side of the rectangle (width) represents which part of the cylinder? 3.Explain how the SA formula for a cylinder relates to the above net. In other words, each part of the formula represents which part(s) of the net? SA= 2 Π r² + 2 Π rh

Answer the following questions : 1)A rectangular prism has a volume of 24 cm³. If the height of the prism triples, and the other two dimensions stay the same, what is the new volume? 2)One planter box holds 36 in.³ of dirt. A smaller planter box holds 12 in.³ of sand. If the length and width of both planter boxes are equal, and the height of the larger planter box is 6 ft., then what is the height of the smaller planter box? 3)Andrea’s jewelry box is 8 in. long, 3 in. wide, and 4 in. tall. She gets another jewelry box that is the same size, except that it is 6 in. wide. Compare the volume of the original jewelry box to the volume of the larger jewelry box (be specific). 4)One fish aquarium measures 16 inches long, 5 inches wide, and 10 inches in depth. If another aquarium is the same size– except its length is 8 inches long, what is the volume of the smaller fish aquarium? 5)One rectangular prism has a volume of 8 in.³ Another rectangular prism has a volume of 40 in.³ The length and width of both prisms are the same. If the height of the smaller prism is 2 in., then what is the height of the larger prism? 6)If the volume of one rectangular prism is twice the volume of another prism, what could be the length, width, and height of both the smaller and larger rectangular prisms? Changing Attributes

ScenarioSHAPE? (Rectangular Prism or Cylinder) VOLUME or SURFACE AREA? 1)How much sand will fit into a sandbox that is 8 feet long, 3.5 feet wide, and 2.5 feet tall? 2) How much hot chocolate mix will fit into a cylindrical container that is 8 inches tall and 5 inches across the lid? 3)What is the minimum amount of paper required to cover a tootsie roll that measures 4.5 cm in height and has a diameter of 1 cm? 4)How much wrapping paper is required to wrap a box that is 14 inches long, 4.2 inches wide, and 2.4 inches tall? 5)A round pool is being filled with water. If it measures 8 feet across and is 4 feet deep, how much water will it take to fill? 6) A wooden crate needs to be painted on all sides. If its length, width, and height are all 8 inches, how many square inches of paint will be needed? 7)A cylindrical wooden dowel rod is being painted white. If it is 22 inches long and has a diameter of 0.8 inches, how much paint is required? 8)How much cake batter can fit into a cake pan that is 3 inches tall, and 8 inches on each side? Applying Volume/ Surface Area “Word Problems”