                   STUDY AND DEFINITION OF 2 DIMENSIONAL SHAPES
PART ONE continued - Squares, rectangles, and other quadrilaterals

DEFINITIONS

 Parallelogram Rhombus Trapezoid a quadrilateral with 2 pairs of parallel sides a parallelogram with all sides of equal length a quadrilateral with 1 pair of parallel sides

CONSTRUCTIONS
1. Create a rhombus using 2 triangles of the same color.

2. Create another rhombus using 2 triangles of the same color Then add 2 more triangles of a different color to create a parallelogram.

3. Add 2 more triangles of a different color again to create a larger parallelogram. How many rhombus shapes can you see in this large parallelogram ?

4. Create a trapezoid using 3 triangles of the same color.

5. Add 2 more triangles of a different color to create a longer trapezoid. How many trapezoid shapes can you see in this large trapezoid ?
How many rhombus shapes can you see in this large trapezoid ?
Can you fold back triangles to transform the trapezoid to a parallelogram ?
Can you fold back triangles to transform the trapezoid to a rhombus ?

6. Identify which of your models are rectangles, and explain why Explain the difference between a square and other rectangles What do squares and rectangles have in common

7. Identify which of your models are parallelograms, and explain why Explain the difference between a rhombus and other parallelograms Explain the difference between a trapezoid and other parallelograms

8. Identify which of your models are quadrilaterals, and explain why Explain the difference between rectangles and other quadrilaterals Explain the difference between parallelograms and other quadrilaterals

9. Identify which of your models are 'regular' quadrilaterals, and explain why

 Square all angles 90 degrees Rectangle all angles 90 degrees   4 sides all sides equal opposite sides parallel 4 sides opposite sides equal opposite sides parallel Rhombus opposite angles equal Parallelogram opposite angles equal Trapezoid opposite angles NOT equal   all sides equal opposite sides parallel opposite sides equal opposite sides parallel only 2 opposite sides parallel

10. Identify which of your models are polygons, and explain why

11. Identify which of your models are 'regular' polygons, and explain why

12. Identify for which of your models, all angles are right angles (90 degrees)

13. Identify for which of your models, opposite angles are equal

14. What is the total of all angles in a square ?

15. What is the total of all angles in a rectangle ?

16. What is the total of all angles in a rhombus ?

17. What is the total of all angles in a trapezoid ?

For 15 to 17, if unsure, measure the angles of your models with a protractor.

18. What do you think is the total of all angles in all quadrilaterals ? To prove the answer, draw some irregular quadrilaterals with all different length sides and all different size angles, and measure the angles using a protractor.

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