help me with math plz!!!!?

Question

i'm a 7th grade and got this Q plz help


HAT 1 (x,y) : A(0,4) B(0,1) C(6,1) D(4,2) E(4,4) F(3,5) G(1,5) H(0,4)

(1) What rule would make a hat with line segments 1/3 the length of Hat 1's line segments
(2) What happens to a figure on a coordinate grid when you add to or subtract from its coordinates?
(3) What rule would make a hat the same size as Hat 1 but moved up 2 units on the grid?
(4) What rule would make a hat with the line segments twice as long as Hat 1's line segments and moved 8 units to the right?

Answer 1

1.) As long as you're only in the positive quadrant of the coordinate grid (i.e. - you have no negative numbers), then you can just divide each coordinate by 3. If you are given coordinates that are both positive and negative, the easiest method is to:

a.) Use addition/subtract to translate the figure into the positive quadrant.
b.) Use multiplication/division to resize the figure
c.) Undo the addition/subtraction to tranlate the figure back to it's original position.

2.) If you merely add or subtract to the coordinates in a consistent manner, then you are merely moving the figure around. For example:

3.) To move the hat up 2 units, add 2 to the y coordinate of each coordinate pair.

4.) Combine the answer for #1 and #2- first you multiply each coordinate by 2, then add 8 to the x coordinate.