Question

Rectangle ABCD
has vertices A(−1,−2)
, B(−1,−8)
, C(−8,−8)
, and D(−8,−2)
.
The rectangle ABCD
is reflected on the x
-axis and the y
-axis. Find the coordinates of the vertices for rectangle A′B′C′D′
.(1 point)
Responses

Rectangle A′B′C′D′
has vertices A′(−1,2)
, B′(−1,8)
, C′(−8,8)
, and D′(−8,2)
.
Rectangle upper A prime upper B prime upper C prime upper D prime has vertices upper A prime left parenthesis negative 1 comma 2 right parenthesis , upper B prime left parenthesis negative 1 comma 8 right parenthesis , upper C prime left parenthesis negative 8 comma 8 right parenthesis , and upper D prime left parenthesis negative 8 comma 2 right parenthesis .

Rectangle A′B′C′D′
has vertices A′(1,2)
, B′(1,8)
, C′(8,8)
, and D′(8,2)
.
Rectangle upper A prime upper B prime upper C prime upper D prime has vertices upper A prime left parenthesis 1 comma 2 right parenthesis , upper B prime left parenthesis 1 comma 8 right parenthesis , upper C prime left parenthesis 8 comma 8 right parenthesis , and upper D prime left parenthesis 8 comma 2 right parenthesis .

Rectangle A′B′C′D′
has vertices A′(1,2)
, B′(1,8)
, and C′(8,8)
.
Rectangle upper A prime upper B prime upper C prime upper D prime has vertices upper A prime left parenthesis 1 comma 2 right parenthesis , upper B prime left parenthesis 1 comma 8 right parenthesis , and upper C prime left parenthesis 8 comma 8 right parenthesis .

Rectangle A′B′C′D′
has vertices A′(1,−2)
, B′(1,−8)
, C′(8,−8)
, and D′(8,−2)
.

Answer 1

Reflecting across both axes changes (x,y) to (-x,-y). So

- A(-1,-2) → A'(1,2)
- B(-1,-8) → B'(1,8)
- C(-8,-8) → C'(8,8)
- D(-8,-2) → D'(8,2)

Thus A'B'C'D' has vertices (1,2), (1,8), (8,8), (8,2).