Area of Parallelograms
Heights and bases of Parallelograms
Triangles
Pure Knowledge
100
What is the formula to calculate the area of a parallelogram?
Area of a parallelogram = Base x Height
100
True or false
The base of a parallelogram is at the bottom of the figure
The base of a parallelogram can be any side of the parallelogram.
100
What shape can we compose (make) with two right triangles?
We can make a rectangle
100
What do you call two lines that will never meet?
Parallel lines
200
The area of a figure is 21 cm2, the base is 7 cm, how long is the height?
The height is: Area divided by base.
H = 21 divided by 7
H = 3
200
How can you identify the height of a parallelogram?
The height of a parallelogram is always perpendicular to the base.
200
True or False
Any 2 triangles can make a parallelogram
False
They have to be 2 IDENTICAL triangles
200
Look at the following picture.
If the length on the left is 6 cm, and Mia decomposes it into two familiar shapes. What are the two missing numbers?
Can we now calculate the area of the shape?
On the left side, it would 3 cm and 3 cm.
Yes we can, we have all the numbers that we need.
300
A parallelogram has a base of 25 cm and a height of 15 cm. What is its area?
Area = 375 cm2
300
True or False
The base of a parallelogram can be extended (ghost line)
True
300
Which types of parallelograms can be composed with two identical triangles?
Rectangles, Squares, Rhombuses
300
What are 2 characteristics/features of a parallelogram?
A parallelogram has 2 pairs of opposite sides.
A parallelogram has 4 sides.
400
If the length of of a building is 86 meters and its height is 55 meters, what is the area of the building?
4,730 m2
400
True or False
The base of a parallelogram could be slanted
false
400
Can quadrilaterals that are not parallelograms be decomposed into two triangles?
Yes they can, but the triangles would not be IDENTICAL (only parallelograms can be decomposed into 2 identical triangles).
400
What is the difference between a quadrilateral and a parallelogram?
A quadrilateral has 4 sides.
A parallelogram has 4 sides with two pairs of opposite sides being parallel sides. Opposite sides have the same length.
500
Was there a length measurement you did not use to find the area? If so, explain why it was not used.
We did not need 7.5 cm because it is not perpendicular to the base.
500
A height can be drawn at any angle to the side chosen as the base.
Not true, the height must be perpendicular to the base.
500
How many pairs of bases-heights does a parallelogram have?
There are always 2 base-height pairs for a parallelogram
500
Why is a trapezoid considered a quadrilateral and not a parallelogram?
It has 4 sides, but doesn't have 2 pairs of parallel sides.