Geometry Summer Packet. In order to be successful in Geometry, you will need to be able to recall information from previous years.
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1 Name: Geometry Summer Packet In order to be successful in Geometry, you will need to be able to recall information from previous years. Some of this information may seem easy to you now since it dates back to elementary school and some may still be difficult. Unfortunately, there is not enough time in the Geometry curriculum to spend time reviewing the years before. Geometry will also build on itself in the year so being organized and keeping on top of your work is going to be great help. Supply list start organizing yourself before the year begins and allow your parents to buy items during sales. Binder (this may be a separate 1 inch binder or you may have a Geometry section in another binder those in AVID will learn about this part) Dividers (Notes, Tests/Quizzes, Homework) Spiral Loose leaf paper (college ruled or wide ruled based on your preference) Pencils olored Pencils Protractor Orange Safety ompass (can be purchased from the school store) Sticky Notes (ex. Post-its) Index ards TI Nspire (OPTIONAL we do have a class set, but they may not be taken home. For those that can afford it now it is a great investment as you prepare for PSAT, SAT and AT, but it is not necessary)
2 4 th Grade Use the diagram below to answer the following questions. 1. Name 2 streets that appear to be parallel. 2. Name 2 streets that appear to be perpendicular. Astros Blvd. Dynamo Way 3. If I cut an 8 inch pie into thirds, what is the angle measure of each slice? 4. Name the type of angle below. What is its angle measure? 5. Name the type of angle below. What is its angle measure? 6. Angle AB is 47, what is the measure of angle BD? A B D 7. How many lines of symmetry does the following figure have?
3 8. How many inches are there in 7 feet 5 inches? 9. lassify the triangle by sides and angles. 10. Draw a right, isosceles triangle. 11. ircle the terms that apply to the following figure. Quadrilateral Parallelogram Rectangle Rhombus Trapezoid Isosceles Trapezoid Kite Square 12. Name all other properties of the figure in # How many faces, vertices and edges are on the following figure? 14. Jerry bought pounds of grapes and pounds of bananas, how many pounds of fruit did Jerry buy? 15. Find the area of the following shape. 20 yd 6 yd 18 yd 12 yd
4 6 th grade 16. Amanda is sewing a flag for a competition. The dimensions of her flag are shown below. Approximately, how many square yards of black material will Amanda need to make the flag? 4.5 yd yd 17. Write an equation that can be used to solve for x. Find x. x List the sides in order from shortest to longest. B 40 A Is the following a triangle based on its side lengths. Explain your reasoning ft. 20. Find the area of the trapezoid. 2.5 ft. 5 ft. 21. Adan is flying to see his grandmother over summer break and needs to buy a suitcase. The airline will accept suitcases with a maximum volume of 2000 in 3. Adan has so much to pack that he wants to buy a suitcase that will hold the maximum amount. He chooses a suitcase with a length of 12 inches and a height of 20 inches. What is the width of the suitcase that he bought?
5 22. Examine the information given in the table below. Which shape has the greatest area? Shape Base Length Height (in cm) (in cm) Triangle Rectangle Parallelogram 25 4 Trapezoid b 1 =10 b 2 = Madison wants to decorate her friend laire s locker for her birthday. Each package of glitter birthday wrapping paper will cover 100 square inches of area. A drawing of laire s locker is given below. height=5 ft. width=12.5 in. Madison has seven packages of wrapping paper. If she decorates the entire width of the locker, assuming no overlap, what height of the locker will be covered? 7 th grade 24. A rectangular room has a ratio of the length to width of 5:3. If the length is 15 ft, what is the width? 25. A length of an architect s scale drawing of a new bathroom is 5.2 inches. The scale used in the drawing is 3 inches equals 12 feet. What is the actual length, in feet, of the bathroom? 26. The two rectangular prisms are similar, find the value of x to the nearest tenth. 25 in. 20 in in. 16 in. x 27. Triangles AT and DOG are shown below. Are the triangles similar? A T D G O
6 28. Figure ABDE is similar to figure UVWXY. Which angle is congruent to angle X? B D A E Y W V X 29. Quadrilateral EOH is similar to quadrilateral TLSU. What is the scale factor? Finish the proportion. = E 2 T 3 6 L 9 7 O 21 S H 5 U If the diameter of a basketball rim is 18 inches. What is the approximate circumference of the basketball rim? 31. The circumference of a personal sized pizza at enter ourt Pizza is inches. Their large pizza is three times the diameter as the personal sized pizza. What is the area of the large pizza? 32. Patty has 3 identical circular flower beds in her yard. The distance from one end and through the center of the flower bed to the other end is 4.4 feet. What is the total approximate area of her flower beds? Round to the nearest tenth. 33. Find the area of the following figure.
7 34. Find the area of the area of the following figure. 6m 15 m 35. Tom is painting a tire of a truck in his coloring book black. The tire is represented by the shaded region in the picture shown below. About how much of the tire was painted black? 10 cm 3 cm 36. James is making boxes. He starts with the rectangular prism shaped box which is shown below. If James cuts off a inch strip around the top of the box, what is the volume of the new box? 37. The triangular prism below has a volume of 150 cubic feet. What is the height of the triangular base? 5 ft 10 ft 38. The front and sides of the pyramid below will be painted. How many square feet of paint will be needed? 9 feet
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