Answer:
Here's what I get.
Step-by-step explanation:
The rule is (x, y) ⟶ (x + 3, y + 4).
That means you must move each point three units to the right and four units up. Thus,
M(-3, -2) ⟶ M'(0, 2)
N(-1, 4) ⟶ N'(2, 8)
P(2, 4) ⟶ P'(5, 8)
Q(4, -2) ⟶ Q'(7, 2)
Your quadrilateral is a trapezoid. Both MNPQ and its image M'N'P'Q' are shown in the Figure below.
Therefore, if the vertices of quadrilateral MNPQ given as M(-3,-2), N(-1,4), P(2,4), Q(4,-2) are translated using the rule (x,y)->(x+3, y+4), then the vertices of the quadrilateral M'N'P'Q' are M'(0, 2), N'(2, 8), P'(5, 8), and Q'(7, 2)
The vertices of the quadrilateral are:
M(-3,-2), N(-1,4), P(2,4), Q(4,-2)
The rule of translation is:
(x,y)->(x+3, y+4)
Following the rule of translation above, add 3 to the x-coordinate and 4 to the y-coordinate
The vertices of the quadrilateral M'N'P'Q' are:
M'(-3+3, -2+4) = M'(0, 2)
N'(-1+3, 4 + 4) = N'(2, 8)
P'(2+3, 4 + 4) = P'(5, 8)
Q'(4+3, -2+4) = Q'(7, 2)
Therefore, if the vertices of quadrilateral MNPQ given as M(-3,-2), N(-1,4), P(2,4), Q(4,-2) are translated using the rule (x,y)->(x+3, y+4), then the vertices of the quadrilateral M'N'P'Q' are M'(0, 2), N'(2, 8), P'(5, 8), and Q'(7, 2)
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