Question

Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV, as shown below:

What will be the location of T' in the image trapezoid S'T'U'V'?

(12, 6)
(12, 7)
(16, 7)
(16, 6)

Answer 1

(16, 7) because the y value will have to go up 3 and the x value will have to go right 10

Answer 2

Correct choice is C

Explanation:

Transformation that maps rectangle JKLM into rectangle J'K'L'M' has a rule

(x,y)→(x+10,y+3).

According to this rule the vertices of the rectangle JKLM have coordinates:

• J(-8,-8)→J'(-8+10,-8+3)=J'(2,-5);
• K(-4,-8)→K'(-4+10,-8+3)=K'(6,-5);
• L(-4,-5)→L'(-4+10,-5+3)=L'(6,-2);
• M(-8,-5)→M'(-8+10,-5+3)=M'(2,-2).

Under this rule, point T(6,4) has the image T'(6+10,4+3)=T'(16,7).