Question

The vertices of quadrilateral MNPQ are M(−3,−2),N(−1,4),P(2,4), and Q(4,−2). Translate quadrilateral MNPQ using the vector ⟨3,−4⟩.

Answer 1

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

$(x,y)\rightarrow (x+a,y+b)$

Using the rule

The new coordinates of M

$(-3,-2)\rightarrow (-3+3,-4-2)$

$(-3,-2)\rightarrow (0,-6)$

The new coordinates of N

$(-1,4)\rightarrow (2,0)$

The new coordinates of P

$(2,4)\rightarrow (5,0)$

The new coordinates of Q

$(4,-2)\rightarrow (7,-6)$

Hence, after translation the new vertices of quadrilateral are

M'(0,-6),N'(2,0),P'(5,0) and Q'(7,-6)