Parallelograms
True or False?
All sides of a parallelogram are equal length
False (opposite sides are always equal length but ALL sides do NOT have to be the same length.)
This kind of triangle has a 90-degree angle and is never wrong!
Right triangle
True or False?
Any side of a triangle can be its height
False
The area of a square that is 5 cm on each side
25 square cm
__________ is when shapes fit together to cover a 2-dimensional space without gaps or overlaps, much like you might see on our classroom floor or around your bathroom.
Tiling
True or false?
All angles of a parallelogram are equal
False
Any _____________ can be decomposed into a pair of ______________ triangles.
parallelogram & identical
Any side of a triangle or a parallelogram can be its _________.
base
The area of a rectangle that is 2 inches wide and three times longer than that.
12 square inches
Area is usually described/measured in ____________ units -- such as with inches, feet, cm, meters, miles, etc.
square
Opposite sides are always the same _________ in a parallelogram
Length
If any parallelogram can be decomposed into two identical triangles, each ________ is _______ as much _______ as the parallelogram.
A _________ line must form a 90-degree angle with the _______ of a triangle or parallelogram.
height & base
The area of a parallelogram with two sides that are 7 inches long, with a base of 6 inches and height of 5 inches.
30 square inches
True or false?
Just like area, bases, heights and sides of polygons are also measured/described in square units.
False!
Parallel lines are lines that would never do this, even if they go on forever.
Touch, intersect, cross, etc.
If you call a triangle this, it might say "Thank you!" for appreciating its smaller angles.
Acute
True or False?
A base must always be one side of a triangle or parallelogram
True
What is the area of a 3 by 4 cm rectangle after its height is cut in half?
6 square cm
If a parallelogram has an area of 30 square cm and a height of 5 cm, we know one of its sides must be _____ cm.
6 cm (NOT SQUARE cm!)
Any two of these can make a parallelogram
Identical triangles
The only type of triangle where one of its sides could be used to measure its height.
Right triangle
For every base of a triangle or parallelogram, there is (JUST or MORE THAN) one line that can be properly drawn to show its height.
MORE THAN
4 times as much (16 square inches vs. 4 square inches).
To draw a triangle with an area of 10 square inches, Mr. H starts by drawing a side/base of 5 inches. How far above or below that side should he make the other corner/vertex of his triangle?
4 inches (= the height)