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Name: _________________________________________________ Date: ____________ Unit 6 Study Guide Key (The actual test will not have as many problems, but will have the same type of problems.) 1. How many sides does a triangle have? A. 4 B. 5 C. 6 D. 3 2. How many sides does a quadrilateral have? A. 5 B. 4 C. 3 D. 6 3. In the figure above, ABCD is a parallelogram. Which of the following must be true? The measures of angles B and C are equal. A. B. C. D. Side DA is parallel to side AB. The lengths of sides CD and AB are equal. Sides BC and CD are congruent. 4. The triangle fits which of the following classifications? Picture is not drawn to scale. I. Obtuse II. Isosceles III. Equilateral IV. Scalene A. II and III B. II only C. II and IV D. I and II 5. What is the main difference between squares and rhombuses? A. B. C. D. Rhombuses always have four interior angles which each measure 90°; squares do not. Rhombuses always have four congruent sides; squares do not. Squares always have four interior angles which each measure 90°; rhombuses do not. Squares always have four congruent sides; rhombuses do not. 6. How many sides does a pentagon have? A. 5 B. 6 C. 4 D. 3 7. A polygon with seven sides is called a(n) ____________. A. octagon B. pentagon C. heptagon D. hexagon 8. Which characteristics best describe any triangle? I. A triangle is a special quadrilateral. II. A triangle has three sides. III. A triangle has three equal angles. IV. A triangle is a polygon. A. II and III B. II and IV C. I and II D. III and IV 9. The triangle fits which of the following classifications? Picture is not drawn to scale. I. Scalene II. Right III. Obtuse IV. Isosceles A. II and IV B. II only C. I and II D. II and III 10. Classify the shape below. I. parallelogram II. rectangle III. rhombus IV. square V. trapezoid Note: Figure is not drawn to scale. A. V only B. I, III, and V C. I and V D. I and III 11. How many sides does a hexagon have? A. 8 B. 4 C. 6 D. 5 12. A rectangle is sometimes an example of a: I. rhombus II. square A. II only B. I only C. none of these D. I and II 13. Classify the shape below. I. parallelogram II. rectangle III. rhombus IV. square Note: Figure is not drawn to scale. A. I and II B. I and III C. I, II, and III D. I only 14. Which of the following is a quadrilateral which must contain diagonals that are always congruent and must always have four 90° angles? A. rhombus B. parallelogram C. rectangle D. trapezoid 15. A polygon with ten sides is called a(n) ____________. A. octagon B. nonagon C. decagon D. heptagon 16. A trapezoid is always an example of a: I. rectangle II. rhombus III. parallelogram IV. square A. III B. none of these C. I, II, III, and IV D. I 17. A rectangle is always an example of a: I. rhombus II. parallelogram III. square A. I, II, III B. I C. II D. none of these 18. Which characteristics best describe a right scalene triangle? I. Two sides meet at a 90° angle. II. Two side lengths are equal. III. One angle is greater than 90°. IV. None of the sides are equal in length. A. I and IV B. I and II C. II and III D. III and IV 19. A polygon with eight sides is called a(n) ____________. A. decagon B. octagon C. hexagon D. heptagon 20. A polygon with nine sides is called a(n) ____________. A. decagon B. heptagon C. octagon D. nonagon 21. A rhombus is always an example of a: I. rectangle II. parallelogram III. square A. I B. I and III C. II D. none of these 22. Which of the following is a quadrilateral that always has four equal sides and opposite angles congruent? A. trapezoid B. rectangle C. parallelogram D. rhombus 23. Classify the shape below. I. parallelogram II. rectangle III. rhombus IV. square Note: Figure is not drawn to scale. A. I, II, and IV B. I, II, III, and IV C. IV only D. II, III, and IV 24. Which of the following is true about a parallelogram? A. B. C. D. Parallelograms always have four congruent sides. Opposite angles of a parallelogram are not congruent. Only two sides of a parallelogram are parallel. The diagonals of a parallelogram always bisect each other. 25. Which characteristics best describe an obtuse scalene triangle? I. Two sides meet at a 90° angle. II. All side lengths are equal. III. One angle is greater than 90°. IV. None of the sides are equal in length. A. I and II B. I and IV C. III and IV D. II and III 26. Which characteristics best describe a right isosceles triangle? I. All angles are acute. II. All side lengths are equal. III. Two sides meet at a 90° angle. IV. Two sides are equal in length. A. I and IV B. III and IV C. II and III D. II and IV 27. Which of the following is a quadrilateral that could have one pair of parallel sides and one pair of sides that are not parallel? A. square B. rectangle C. rhombus D. trapezoid 28. A square is always an example of a: I. rectangle II. rhombus III. parallelogram A. I B. III C. I, II, and III D. II 29. Which characteristics best describe an acute scalene triangle? I. Two sides meet at a 90° angle. II. Two side lengths are equal. III. All angles are less than 90°. IV. None of the sides are equal in length. A. III and IV B. I and II C. I and IV D. II and III 30. Classify the shape below. I. parallelogram II. rectangle III. rhombus IV. square Note: Figure is not drawn to scale. A. I and II B. III only C. I and III D. II and III 31. How many of the following pairs of lines intersect? MCC5.G.4 three zero one two 32. Name the polygon. Hexagon Pentagon Decagon Triangle Quadrilateral MCC5.G.3 33. Classify the following group of lines MCC5.G.4 Perpendicular Parallel Intersecting Angle 34. Cornerstone Cookie Shop has cookie cutters in these shapes: MCC5.G.4 Circle the two shapes that are congruent to each other. Explain why these two shapes are congruent. These two shapes are congruent because they are the exact same size and shape. 35. Are all squares rhombuses? Yes Explain your answer. MCC5.G.3 All squares are rhombuses because they are quadrilaterals, trapezoids, parallelograms, and have four congruent sides. 36. True or False - All quadrilaterals have four sides with 4 right angles. Justify your answer. MCC5.G.3 False. All quadrilaterals have four sides, but only rectangles (including squares) have four right angles. Write polygon or not a polygon. For a polygon, name the type of polygon and also write regular or not regular. MCC5.G.3 37. Not a polygon 40. polygon 38. Polygon 39. Not a Polygon