Question

GEOMETRY. PLEASE HELP ASAP!! I AM STUMPED! O.o

The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). A translation maps R to the point (2, -7). Find the translation rule and the image of U.

A.
T < 7, 2 > (RSTU); (2, 3)

B.
T < 7, -2 > (RSTU); (2, -1)

C.
T < -7, -2 > (RSTU); (-12, -1)

D.
T < -7, 2 > (RSTU); (-12, 3)

Answer 1

The point R has coordinates (-5,-5) and the image point R' has coordinates (2,-7).

If

• -5+a=2, then a=2-(-5)=2+5=7;
• -5+b=-7, then b=-7-(-5)=-7+5=-2.

Thus, the translation rule is

(x,y)→(x+7,y-2)

or
`T_((7,-2))(RSTU)`

If point U has coordinates (-5,1), then its image U' has coordinates (-5+7,1-2) that is (2,-1).

Answer: correct choice is B