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
?
Test
your knowledge of the attributes of different types of quadrilaterals
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
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.
[Klikko
Math] [Klikko Science]
[Product Information] [Product
Comments] [Enquiries &
Ordering] [Home] [Key
Value Points]
