Name ______________________________ #_______ Date ___________________ Geometry Properties of 2-Dimensional Shapes Unit Performance Task (1) Directions: Read each question carefully and work as quickly as possible. A good strategy is to answer the questions you are most confident about first; then go back and tackle the more difficult ones. It is important that you answer every question below with sufficient explanations. Your explanation may include words, pictures, or other work. You will be scored on both your method and your answer. Be sure to label and organize all your work. 1. Marisol says that a square is a rectangle because it has 4 right angles. Arnie says that a square is a rhombus because it has 4 equal sides. a. Who is correct? Marisol is correct. b. Explain and support your answer. Marisol is correct because both a square and rectangle have 4 right angles, so a square is a rectangle. Arnie is not correct because even though both a square and rhombus have 4 equal sides, a rhombus does not have 4 right angles like a square does. So, a square is not a rhombus. 2. Anwar says that if you cut a regular hexagon in half through two of its vertices, two trapezoids will be created. a. Do you think Anwar’s generalization is true? Yes, Anwar is correct. b. Explain and support your answer. I know this because when using pattern blocks, two trapezoids put together does make a regular hexagon with 6 congruent sides. c. Anwar then drops a point in the center of his regular hexagon and draws line segments from it. What specific shape will form if he draws line segments from the center to all six vertices? The specific shape will be “6” regular triangles. d. Explain and support your answer. I know this because “6” green triangles is equal to “1“yellow hexagon when using pattern blocks. 3. Jesse is classifying quadrilaterals by drawing a chart. a. What does Jesse’s chart look like? Draw a chart classifying quadrilaterals. Parallelogram 4 sides, 2 pairs of parallel lines/sides Rectangle 4 sides, 2 pairs of parallel sides, 4 right angles Rhombus 4 congruent sides, 2 pairs of parallel sides Square 4 congruent sides, 4 right angles, 2 pairs of parallel sides Trapezoid 4 sides, only 1 pair of parallel sides b. Jesse examines his chart and notes that all rectangles are examples of parallelograms, but all parallelograms are not rectangles. Why is this? All parallelograms are not rectangles because rectangles have 4 right angles. But both rectangles and parallelograms have 2 pairs of parallel sides, so rectangles are examples of parallelograms. c. Explain. Parallelograms do not have 4 right angles like rectangles do. They have 2 acute angles and 2 obtuse angles.