Question

description
The x and y axes have values from negative 10 to 10 in unit increments. Four points in the fourth quadrant are plotted as follows: upper A left parenthesis 1 comma negative 5 right parenthesis, upper B left parenthesis 5 comma negative 2 right parenthesis, upper C left parenthesis 8 comma negative 2 right parenthesis, and upper D left parenthesis 7 comma negative 4 right parenthesis. These points are connected by solid lines to form a quadrilateral. Four points in the second quadrant are plotted as follows: upper E left parenthesis negative 5 comma 1 right parenthesis, upper F left parenthesis negative 2 comma 5 right parenthesis, upper G left parenthesis negative 2 comma 8 right parenthesis, and upper H left parenthesis negative 4 comma 7 right parenthesis. These points are connected by dotted lines to form a quadrilateral.



What reflections or sequence of reflections transforms figure ABCD
into figure EFGH
?

(1 point)
Responses

Reflect ABCD
first over the line x=0
, then over the line y=x
.
Reflect cap A cap b cap c cap d first over the line x is equal to 0, then over the line y is equal to x .

Reflect ABCD
over the line y=x

Reflect cap A cap b cap c cap d over the line y is equal to x

Reflect ABCD
first over the line x=0
, then over the line y=0
.

Answer 1

Reflect ABCD over the line y = x.

Reason: Reflection across y = x swaps coordinates (x,y) → (y,x). A(1,−5) → (−5,1)=E, B(5,−2) → (−2,5)=F, C(8,−2) → (−2,8)=G, D(7,−4) → (−4,7)=H.