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Transcript
NORTH THURSTON PUBLIC SCHOOLS GEOMETRY 3RD QUARTER REVIEW BOOKLET Name: _________________________________________________ Date: __________________________________________________ Day 1 1. List the properties of the diagonals of a rectangle. 2. If quadrilateral ETAG is a kite, and m2 = 82, can m1 = 47? Justify your answer. T 8 1 2 E 3 7 6 4 A 5 G Day 2 3. Find the measure of the interior angle “y” shown below. y A regular octagon 4. Circle the quadrilaterals listed which have the property: “Opposite angles are equal” Kite Rhombus Square Isosceles Trapezoid Parallelogram Rectangle 10” Day 3 35” 5. For the shape at right, 26” a. Find the area of the shape. b. Find the perimeter of the shape. 38” 6. Find the sum of: a. the interior angles of a 74-gon b. the exterior angles of a 74-gon Day 4 7. Find the area of this figure. 45 4' 5' 2' 8' 8' 3' 60 5' 8. Fill each blank with sometimes, always or never to make each statement true a. The diagonals of a parallelogram ________________ bisect each other. b. The opposite sides of a parallelogram can __________________ have different lengths. c. Parallelograms are ____________________ rectangles. Day 5 9. Find the area of the shaded region: 10. Find the area of the regular octagon to the right. SHOW YOUR STEPS! 10 cm Day 6 11. Draw a sketch of a quadrilateral with these properties: the diagonals are perpendicular and equal in length. 12. An n-gon has interior angles which sum up to 2700°. How many sides does the n-gon have? Day 7 13. Find the area and perimeter of the figure at right. 38 87' 93' 14. Circle the quadrilaterals listed which have the property described. “Has at least one pair of opposite sides that are equal” Kite Rhombus Square Isosceles Trapezoid Parallelogram Rectangle Day 8 15. A regular polygon has an interior angle of 170°. How many sides does the polygon have? 16. Find the total surface area and volume of the prism shown at right. 5 6 Day 9 17. Calculate the surface area of the pyramid: 8 18. For each description of a quadrilateral below, say what special type the quadrilateral must be and/or what special type the quadrilateral could be. a. My quadrilateral has 2 pairs of parallel sides. b. My quadrilateral has perpendicular diagonals and 2 pairs of equal sides. c. My quadrilateral has 4 congruent sides. d. My quadrilateral has congruent diagonals. Day 10 19. Find the volume of the container shown below: 20. How many faces, edges, and vertices are on a: a) Octagonal pyramid b) Octagonal Prism Day 11 21. If each exterior angle on a regular polygon has a measure of 12, how many sides will the polygon have? 22. Calculate the volume of the container shown below: Day 12 23. The circumference of the base of this cylinder is 12 cm. Find the surface area of the cylinder. 11.5 cm 24. The perimeter of a regular polygon is 63 feet. An exterior angle of the polygon measures 40°. Find the length of each side.