M05.C-G Classify two-dimensional figures in a hierarchy based on properties.
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1 M05.C-G Classify two-dimensional figures in a hierarchy based on 1. Mr. Diaz is building a fence around his yard. He drew a sketch of the fence line. Which best describes the fence line? A. pentagon; regular polygon B. pentagon; not a regular polygon C. hexagon; regular polygon D. hexagon; not a regular polygon 2. A stained glass window at the town library is the shape of a regular octagon. Which of the following describes a regular octagon? A. a figure with 6 congruent sides and 6 congruent angles B. a figure with 6 sides that are not congruent C. a figure with 8 sides that are not congruent D. a figure with 8 congruent sides and 8 congruent angles 3. Beth drew four quadrilaterals. Which of the quadrilaterals that she drew is a regular polygon? A. B.
2 C. D. 4. Erica drew a rectangle and said that it is a regular polygon because it has four congruent angles. Do you agree? Explain your answer. 5. Which kind of triangle has no congruent sides? A. equilateral B. horizontal C. isosceles D. scalene 6. Nathan drew this triangle. Which of the following best classifies the triangle? A. scalene, acute B. scalene, obtuse C. isosceles, acute D. isosceles, obtuse 7. What is the least number of acute angles that a triangle can have? A. 0 B. 1 C. 2 D Amanda drew this triangle.
3 Which of the following best classifies the triangle? A. equilateral, acute B. isosceles, acute C. scalene, acute D. isosceles, right 9. Liza said that a triangle with exactly 2 congruent sides and a right angle is an acute isosceles triangle. Is she correct? Explain. 10. Keiko drew the shapes of her tables on grid paper. Then she cut them out and used them on a floor plan to help arrange her furniture. Which two shapes that Keiko drew are congruent? A. A and B B. A and C C. B and C D. B and D 11. Ezra drew triangles to make this design.
4 Which of the triangles appear to be congruent? A. A and B B. B and D C. C and E D. A and D 12. Fumiko drew the shapes of her neighbors' patios on grid paper. Which two shapes that Fumiko drew are congruent? A. A and B B. A and C C. B and C D. B and D 13. Ian drew triangles to make this design. Which of the triangles appear to be congruent?
5 A. A and E B. B and C C. B and D D. C and D 14. Juanita has a quadrilateral that she thinks is a rhombus, but she does not have a ruler to measure the sides. How can Juanita determine whether the quadrilateral is a rhombus? 15. Jim s vegetable garden looks like this quadrilateral. What type of quadrilateral is it? A. trapezoid B. square C. rhombus D. rectangle 16. Cathy drew a picture of her backyard. What type of quadrilateral is Cathy s backyard? A. rectangle B. square C. rhombus D. trapezoid 17. The patio at the front of the school is a quadrilateral with 4 right angles and 4 congruent sides. What type of quadrilateral is it? A. trapezoid
6 B. square C. rhombus D. rectangle 18. Tim s bedroom is shaped like this quadrilateral. What type of quadrilateral is it? A. rectangle B. square C. rhombus D. trapezoid 19. Gabrielle drew a quadrilateral with 3 congruent sides. She claims that it must be a rhombus or a square. Is she correct? Explain your answer.
7 M05.C-G Classify two-dimensional figures in a hierarchy based on Answer Section 1. ANS: B PTS: 1 DIF: average REF: Lesson 97: Polygons OBJ: Identify and classify polygons. KEY: polygon regular polygon triangle quadrilateral pentagon hexagon heptagon octagon nonagon decagon 2. ANS: D PTS: 1 DIF: average REF: Lesson 97: Polygons OBJ: Identify and classify polygons. KEY: polygon regular polygon triangle quadrilateral pentagon hexagon heptagon octagon nonagon decagon 3. ANS: D PTS: 1 DIF: average REF: Lesson 97: Polygons OBJ: Identify and classify polygons. KEY: polygon regular polygon triangle quadrilateral pentagon hexagon heptagon octagon nonagon decagon 4. ANS: No, I disagree. Possible explanation: in a regular polygon, all sides are congruent and all angles are congruent. All the angles in a rectangle are right angles and congruent. All the sides are congruent only if the rectangle is a square. So Erica may have drawn a square that was regular polygon, but she also could have drawn a rectangle that did not have all sides congruent. PTS: 1 DIF: average REF: Lesson 97: Polygons OBJ: Identify and classify polygons.
8 KEY: polygon regular polygon triangle quadrilateral pentagon hexagon heptagon octagon nonagon decagon 5. ANS: D PTS: 1 DIF: average REF: Lesson 98: Triangles OBJ: Classify and draw triangles using their KEY: equilateral triangle isosceles triangle scalene triangle acute triangle obtuse triangle right triangle 6. ANS: B PTS: 1 DIF: average REF: Lesson 98: Triangles OBJ: Classify and draw triangles using their KEY: equilateral triangle isosceles triangle scalene triangle acute triangle obtuse triangle right triangle 7. ANS: C PTS: 1 DIF: average REF: Lesson 98: Triangles OBJ: Classify and draw triangles using their KEY: equilateral triangle isosceles triangle scalene triangle acute triangle obtuse triangle right triangle 8. ANS: A PTS: 1 DIF: average REF: Lesson 98: Triangles OBJ: Classify and draw triangles using their
9 KEY: equilateral triangle isosceles triangle scalene triangle acute triangle obtuse triangle right triangle 9. ANS: No. Possible explanation: a triangle with a right angle is a right triangle. Since this triangle has exactly 2 congruent sides, it would be a right isosceles triangle. PTS: 1 DIF: average REF: Lesson 98: Triangles OBJ: Classify and draw triangles using their KEY: equilateral triangle isosceles triangle scalene triangle acute triangle obtuse triangle right triangle 10. ANS: C PTS: 1 DIF: average REF: Lesson 99: Problem Solving Properties of Two-Dimensional Figures OBJ: Solve problems using the strategy act it out. 11. ANS: B PTS: 1 DIF: average REF: Lesson 99: Problem Solving Properties of Two-Dimensional Figures OBJ: Solve problems using the strategy act it out. 12. ANS: A PTS: 1 DIF: average REF: Lesson 99: Problem Solving Properties of Two-Dimensional Figures OBJ: Solve problems using the strategy act it out. 13. ANS: D PTS: 1 DIF: average REF: Lesson 99: Problem Solving Properties of Two-Dimensional Figures OBJ: Solve problems using the strategy act it out.
10 14. ANS: Possible answer: she can fold the quadrilateral twice along the diagonals. If the sides match up, all four sides are congruent, making it a rhombus. PTS: 1 DIF: average REF: Lesson 99: Problem Solving Properties of Two-Dimensional Figures OBJ: Solve problems using the strategy act it out. 15. ANS: A PTS: 1 DIF: average REF: Lesson 100: Quadrilaterals OBJ: Classify and compare quadrilaterals using their NAT: CC.5.G.4 Classify two-dimensional figures in a hierarchy based on KEY: parallel lines perpendicular lines quadrilateral parallelogram rectangle rhombus square trapezoid 16. ANS: C PTS: 1 DIF: average REF: Lesson 100: Quadrilaterals OBJ: Classify and compare quadrilaterals using their NAT: CC.5.G.4 Classify two-dimensional figures in a hierarchy based on KEY: parallel lines perpendicular lines quadrilateral parallelogram rectangle rhombus square trapezoid 17. ANS: B PTS: 1 DIF: average REF: Lesson 100: Quadrilaterals OBJ: Classify and compare quadrilaterals using their NAT: CC.5.G.4 Classify two-dimensional figures in a hierarchy based on
11 KEY: parallel lines perpendicular lines quadrilateral parallelogram rectangle rhombus square trapezoid 18. ANS: A PTS: 1 DIF: average REF: Lesson 100: Quadrilaterals OBJ: Classify and compare quadrilaterals using their NAT: CC.5.G.4 Classify two-dimensional figures in a hierarchy based on KEY: parallel lines perpendicular lines quadrilateral parallelogram rectangle rhombus square trapezoid 19. ANS: No. Possible explanation: the quadrilateral could be a rhombus or a square because both have at least 3 congruent sides, but, it could also be a trapezoid or a quadrilateral that is not a parallelogram. PTS: 1 DIF: average REF: Lesson 100: Quadrilaterals OBJ: Classify and compare quadrilaterals using their NAT: CC.5.G.4 Classify two-dimensional figures in a hierarchy based on KEY: parallel lines perpendicular lines quadrilateral parallelogram rectangle rhombus square trapezoid
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