A)
Let's pick point (4,4) and point (2,2). If you divide the new point by the old point you will see that both the x-value and the y-value were multiplied by 2 to gt the new x-value and new y- value. So the scale factor is 2.
The perimeter of the first square can be found by subtracting the x-values from two points to get the length of one side and then multiply the result by 4 to get the perimeter of the whole square.
2-(-2)=4
The length of one side of the first square is 4. (I just subtracted the x-values.)
4 times 4 = 16.
The perimeter of the first square is 16.
Similarly, 4-(-4)=8 and 8 times 4 = 32.
The perimeter of the second square is 32.
b)
Let's pick point (6,6) and point (3,3). If you divide the new point by the old point you will see that both the x-value and the y-value were multiplied by 2 to gt the new x-value and new y- value. So the scale factor is 2.
The perimeter of the first square can be found by subtracting the x-values from two points to get the length of one side and then multiply the result by 4 to get the perimeter of the whole square.
3-(-3)=6
6 times 4 = 24.
The perimeter of the first square is 24.
Similarly, 6-(-6)=12 and 12 times 4 =48.
The perimeter of the second square is 48.
c)
If a figure is dilated to a scale factor of 2 then the perimeter of the figure will also be doubled.
It is the symmetric property
These problems are what is known as changing a mixed fraction to an improper fraction. Lets start with 5 1/8.
What we want to do is take the big number on the side and add it to the top of the fraction in a special way to make it an improper fraction. (An improper fraction means a fraction with a bigger top than bottom).
To add 5 to 1/8, we have to multiply 5 by 8 and then add it. 5 times 8 is 40 so if we add that to the top we know that the improper fraction we are looking for is 41/8.
We can do the same thing for 3 4/12, multiply 3 by 12 and add it to the top of the fraction. 3 times 12 is 36, add that to the top to get 40/12.
See if you can do 1 6/12 and comment with an answer, if you get it wrong I will keep helping you till we get this down!
