|
Affects
of Changes in a Figure
Learn
how to describe the change of a figure in length, width, height,
radius or radius.
Explanation
Understands
and describes how the change of a figure in such dimensions
as length, width, height, and radius can affect other measurements
such as area and perimeter. Huh?
This means in order to pass middle school you have to understand
what I will call the "squarestretch theory". Say
you have a square with 4 as it's length and height, 16 as
the perimeter and area. If you take one corner and stretch
it straight out an inch, you now have a 4 sided figure, trapezoid.
To find the length of the other altered side, you can use
the Pythagorean theorem. The equation would look like this:
Questions
5squared+4squared=n
5x5=25
4x4=16
25+16=41
Square route of 41= (about) 6.4
The newly
altered side has a length of about 6.4 inches, total square
perimeter is 19.4 in, and area is 18 square inches.
Try drawing this out on paper.
Now say you have a rectangle, with the dimensions being 2in
for height and 1 in for width, perimeter 5 in. You stretch
the middle of a line straight out .5 in. Now, you have pentagon,
and have added two sides with a length of 1 in each, perimeter
7 in. Try also drawing this.
Finally, you have a circle with a diameter of 20 in. If you
increase the radii 1 inch each, how much has the diameter
increased? 2 inches to 22 total inches. This is because the
radius is ½ of the diameter.
|
