The vertices of a quadrilateral are:A(-4,-2), B(-5, 3), C(6,2), D(9,-1)Find the coordinates after the quadrilateral is translated up 2 units and left 1 unitACB'(C'(D&q…

Question

The vertices of a quadrilateral are:A(-4,-2), B(-5, 3), C(6,2), D(9,-1)Find the coordinates after the quadrilateral is translated up 2 units and left 1 unitACB'(C'(D"Blank 1:Blank 2:Blank 3:Blank 4:Blank 5:Blank 6:Blank 7:Blank 8:

Answer 1

Okay, here we have this:

Moving a point z units up is equivalent to: (x, y) --> (x, y+z)

And moving a point z units to the left is equivalent to: (x, y) --> (x-z, y)

In this case we translated 2 unit up, and 1 unit left, so the points change is:

(x,y) ---> (x-1, y+2)

So the new points are:

A: (-4,-2) ---> A': (-5,0)

B: (-5,3) ----> B': (-6,5)

C: (6,2) -----> C': (5,4)

D: (9,-1) -----> D': (8,1)

The vertices of the new cuadrilateral are A'(-5,0), B'(-6,5), C'(5,4), D'(8,1)