Answer:
M'(0,-6),N'(2,0),P'(5,0) and Q'(7,-6)
Step-by-step explanation:
We are given that the vertices of quadrilateral MNPQ are M(-3,-2),N(-1,4),P(2,4) and Q(4,-2).
We have to translate the quadrilateral MNPQ using vector <3,-4>
The translate the coordinates of vertices (x,y) using the vector <a,b> is given by the rule
[tex](x,y)\rightarrow (x+a,y+b)[/tex]
Using the rule
The new coordinates of M
[tex](-3,-2)\rightarrow (-3+3,-4-2)[/tex]
[tex](-3,-2)\rightarrow (0,-6)[/tex]
The new coordinates of N
[tex](-1,4)\rightarrow (2,0)[/tex]
The new coordinates of P
[tex](2,4)\rightarrow (5,0)[/tex]
The new coordinates of Q
[tex](4,-2)\rightarrow (7,-6)[/tex]
Hence, after translation the new vertices of quadrilateral are
M'(0,-6),N'(2,0),P'(5,0) and Q'(7,-6)
